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class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Basculer la table des matières</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Nombre d'onde</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Aller à un article dans une autre langue. Disponible en 40 langues." > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-40" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">40 langues</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF_%D8%A7%D9%84%D9%85%D9%88%D8%AC%D8%A9" title="عدد الموجة – arabe" lang="ar" hreflang="ar" data-title="عدد الموجة" data-language-autonym="العربية" data-language-local-name="arabe" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A5%D0%B2%D0%B0%D0%BB%D0%B5%D0%B2%D1%8B_%D0%BB%D1%96%D0%BA" title="Хвалевы лік – biélorusse" lang="be" hreflang="be" data-title="Хвалевы лік" data-language-autonym="Беларуская" data-language-local-name="biélorusse" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%92%D1%8A%D0%BB%D0%BD%D0%BE%D0%B2%D0%BE_%D1%87%D0%B8%D1%81%D0%BB%D0%BE" title="Вълново число – bulgare" lang="bg" hreflang="bg" data-title="Вълново число" data-language-autonym="Български" data-language-local-name="bulgare" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Talasni_broj" title="Talasni broj – bosniaque" lang="bs" hreflang="bs" data-title="Talasni broj" data-language-autonym="Bosanski" data-language-local-name="bosniaque" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Nombre_d%27ona" title="Nombre d'ona – catalan" lang="ca" hreflang="ca" data-title="Nombre d'ona" data-language-autonym="Català" data-language-local-name="catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Vlnov%C3%A9_%C4%8D%C3%ADslo" title="Vlnové číslo – tchèque" lang="cs" hreflang="cs" data-title="Vlnové číslo" data-language-autonym="Čeština" data-language-local-name="tchèque" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/B%C3%B8lgetal" title="Bølgetal – danois" lang="da" hreflang="da" data-title="Bølgetal" data-language-autonym="Dansk" data-language-local-name="danois" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Wellenzahl" title="Wellenzahl – allemand" lang="de" hreflang="de" data-title="Wellenzahl" data-language-autonym="Deutsch" data-language-local-name="allemand" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9A%CF%85%CE%BC%CE%B1%CF%84%CE%B1%CF%81%CE%B9%CE%B8%CE%BC%CF%8C%CF%82" title="Κυματαριθμός – grec" lang="el" hreflang="el" data-title="Κυματαριθμός" data-language-autonym="Ελληνικά" data-language-local-name="grec" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Wavenumber" title="Wavenumber – anglais" lang="en" hreflang="en" data-title="Wavenumber" data-language-autonym="English" data-language-local-name="anglais" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/N%C3%BAmero_de_onda" title="Número de onda – espagnol" lang="es" hreflang="es" data-title="Número de onda" data-language-autonym="Español" data-language-local-name="espagnol" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Lainearv" title="Lainearv – estonien" lang="et" hreflang="et" data-title="Lainearv" data-language-autonym="Eesti" data-language-local-name="estonien" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF_%D9%85%D9%88%D8%AC" title="عدد موج – persan" lang="fa" hreflang="fa" data-title="عدد موج" data-language-autonym="فارسی" data-language-local-name="persan" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Aaltoluku" title="Aaltoluku – finnois" lang="fi" hreflang="fi" data-title="Aaltoluku" data-language-autonym="Suomi" data-language-local-name="finnois" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/N%C3%BAmero_de_onda" title="Número de onda – galicien" lang="gl" hreflang="gl" data-title="Número de onda" data-language-autonym="Galego" data-language-local-name="galicien" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A1%D7%A4%D7%A8_%D7%92%D7%9C" title="מספר גל – hébreu" lang="he" hreflang="he" data-title="מספר גל" data-language-autonym="עברית" data-language-local-name="hébreu" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Valni_broj" title="Valni broj – croate" lang="hr" hreflang="hr" data-title="Valni broj" data-language-autonym="Hrvatski" data-language-local-name="croate" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Hull%C3%A1msz%C3%A1m" title="Hullámszám – hongrois" lang="hu" hreflang="hu" data-title="Hullámszám" data-language-autonym="Magyar" data-language-local-name="hongrois" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B1%D5%AC%D5%AB%D6%84%D5%A1%D5%B5%D5%AB%D5%B6_%D5%A9%D5%AB%D5%BE" title="Ալիքային թիվ – arménien" lang="hy" hreflang="hy" data-title="Ալիքային թիվ" data-language-autonym="Հայերեն" data-language-local-name="arménien" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Bilangan_gelombang" title="Bilangan gelombang – indonésien" lang="id" hreflang="id" data-title="Bilangan gelombang" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonésien" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Numero_d%27onda" title="Numero d'onda – italien" lang="it" hreflang="it" data-title="Numero d'onda" data-language-autonym="Italiano" data-language-local-name="italien" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%B3%A2%E6%95%B0" title="波数 – japonais" lang="ja" hreflang="ja" data-title="波数" data-language-autonym="日本語" data-language-local-name="japonais" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A2%E1%83%90%E1%83%9A%E1%83%A6%E1%83%A3%E1%83%A0%E1%83%98_%E1%83%A0%E1%83%98%E1%83%AA%E1%83%AE%E1%83%95%E1%83%98" title="ტალღური რიცხვი – géorgien" lang="ka" hreflang="ka" data-title="ტალღური რიცხვი" data-language-autonym="ქართული" data-language-local-name="géorgien" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A2%D0%BE%D0%BB%D2%9B%D1%8B%D0%BD%D0%B4%D1%8B%D2%9B_%D1%81%D0%B0%D0%BD" title="Толқындық сан – kazakh" lang="kk" hreflang="kk" data-title="Толқындық сан" data-language-autonym="Қазақша" data-language-local-name="kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%8C%8C%EC%88%98" title="파수 – coréen" lang="ko" hreflang="ko" data-title="파수" data-language-autonym="한국어" data-language-local-name="coréen" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Golfgetal" title="Golfgetal – néerlandais" lang="nl" hreflang="nl" data-title="Golfgetal" data-language-autonym="Nederlands" data-language-local-name="néerlandais" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/B%C3%B8lgjetal" title="Bølgjetal – norvégien nynorsk" lang="nn" hreflang="nn" data-title="Bølgjetal" data-language-autonym="Norsk nynorsk" data-language-local-name="norvégien nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/B%C3%B8lgetall" title="Bølgetall – norvégien bokmål" lang="nb" hreflang="nb" data-title="Bølgetall" data-language-autonym="Norsk bokmål" data-language-local-name="norvégien bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Liczba_falowa" title="Liczba falowa – polonais" lang="pl" hreflang="pl" data-title="Liczba falowa" data-language-autonym="Polski" data-language-local-name="polonais" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/N%C3%BAmero_de_onda" title="Número de onda – portugais" lang="pt" hreflang="pt" data-title="Número de onda" data-language-autonym="Português" data-language-local-name="portugais" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%92%D0%BE%D0%BB%D0%BD%D0%BE%D0%B2%D0%BE%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%BE" title="Волновое число – russe" lang="ru" hreflang="ru" data-title="Волновое число" data-language-autonym="Русский" data-language-local-name="russe" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Valni_broj" title="Valni broj – serbo-croate" lang="sh" hreflang="sh" data-title="Valni broj" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbo-croate" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Vlnov%C3%A9_%C4%8D%C3%ADslo" title="Vlnové číslo – slovaque" lang="sk" hreflang="sk" data-title="Vlnové číslo" data-language-autonym="Slovenčina" data-language-local-name="slovaque" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Valovno_%C5%A1tevilo" title="Valovno število – slovène" lang="sl" hreflang="sl" data-title="Valovno število" data-language-autonym="Slovenščina" data-language-local-name="slovène" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/Talasni_broj" title="Talasni broj – serbe" lang="sr" hreflang="sr" data-title="Talasni broj" data-language-autonym="Српски / srpski" data-language-local-name="serbe" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/V%C3%A5gtal" title="Vågtal – suédois" lang="sv" hreflang="sv" data-title="Vågtal" data-language-autonym="Svenska" data-language-local-name="suédois" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%85%E0%AE%B2%E0%AF%88_%E0%AE%8E%E0%AE%A3%E0%AF%8D" title="அலை எண் – tamoul" lang="ta" hreflang="ta" data-title="அலை எண்" data-language-autonym="தமிழ்" data-language-local-name="tamoul" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A5%D0%B2%D0%B8%D0%BB%D1%8C%D0%BE%D0%B2%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%BE" title="Хвильове число – ukrainien" lang="uk" hreflang="uk" data-title="Хвильове число" data-language-autonym="Українська" data-language-local-name="ukrainien" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/S%E1%BB%91_s%C3%B3ng" title="Số sóng – vietnamien" lang="vi" hreflang="vi" data-title="Số sóng" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamien" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%B3%A2%E6%95%B8" title="波數 – chinois" lang="zh" hreflang="zh" data-title="波數" data-language-autonym="中文" data-language-local-name="chinois" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q192510#sitelinks-wikipedia" title="Modifier les liens interlangues" class="wbc-editpage">Modifier les liens</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Espaces de noms"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet 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class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Logo_disambig.svg/30px-Logo_disambig.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a9/Logo_disambig.svg/40px-Logo_disambig.svg.png 2x" data-file-width="512" data-file-height="375" /></a></span></div><div class="bandeau-cell" style="display:table-cell;padding-right:0.5em"> <p>Pour les articles homonymes, voir <a href="/wiki/Onde_(homonymie)" class="mw-disambig" title="Onde (homonymie)">onde (homonymie)</a>. </p> </div></div> <div class="infobox_v3 infobox infobox--frwiki noarchive"> <div class="entete" style=""> <div>Nombre d'onde angulaire</div> </div> <table><caption class="hidden" style="">Données clés</caption> <tbody><tr> <th scope="row"><a href="/wiki/Unit%C3%A9s_de_base_du_Syst%C3%A8me_international" title="Unités de base du Système international">Unités SI</a></th> <td> <a href="/wiki/Radian" title="Radian">radian</a> par <a href="/wiki/M%C3%A8tre" title="Mètre">mètre</a> (<abbr class="abbr" title="radian par mètre">rad m<sup>−1</sup></abbr> ou <abbr class="abbr" title="radian par mètre">rad/m</abbr>)</td> </tr> <tr> <th scope="row"><a href="/wiki/Dimension_(physique)" title="Dimension (physique)">Dimension</a></th> <td> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle [k]=\mathrm {L} ^{-1}\cdot {1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">[</mo> <mi>k</mi> <mo stretchy="false">]</mo> <mo>=</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">L</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle [k]=\mathrm {L} ^{-1}\cdot {1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a7f53a0336a51aa57f525049d0c7409c8854af8b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.23ex; height:3.176ex;" alt="{\displaystyle [k]=\mathrm {L} ^{-1}\cdot {1}}"></span></td> </tr> <tr> <th scope="row">Nature</th> <td> Grandeur <a href="/wiki/Scalaire_(physique)" title="Scalaire (physique)">scalaire</a> <a href="/wiki/Grandeur_intensive" class="mw-redirect" title="Grandeur intensive">intensive</a></td> </tr> <tr> <th scope="row">Symbole usuel</th> <td> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c3c9a2c7b599b37105512c5d570edc034056dd40" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.211ex; height:2.176ex;" alt="{\displaystyle k}"></span></td> </tr> <tr> <th scope="row">Lien à d'autres grandeurs</th> <td> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k\equiv {\frac {2\pi }{\lambda }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mo>≡</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>π</mi> </mrow> <mi>λ</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k\equiv {\frac {2\pi }{\lambda }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/74a146aa44fe53f0c6a3438f04b3d79423b8d93d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:7.64ex; height:5.343ex;" alt="{\displaystyle k\equiv {\frac {2\pi }{\lambda }}}"></span></td> </tr> </tbody></table><p class="navbar bordered noprint" style=""><span class="plainlinks navigation-not-searchable"><a class="external text" href="https://fr.wikipedia.org/w/index.php?title=Nombre_d%27onde&action=edit">modifier</a></span> <span typeof="mw:File"><a href="/wiki/Mod%C3%A8le:Infobox_Grandeur_physique" title="Consultez la documentation du modèle"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/12px-Info_Simple.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/18px-Info_Simple.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/24px-Info_Simple.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span></p></div> <div class="infobox_v3 infobox infobox--frwiki noarchive"> <div class="entete" style=""> <div>Nombre d'onde (fréquence spatiale)</div> </div> <div class="images"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/Fichier:Dunas_de_Corralejo,_duna_perfecta.jpg" class="mw-file-description"><img alt="Description de cette image, également commentée ci-après" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/95/Dunas_de_Corralejo%2C_duna_perfecta.jpg/220px-Dunas_de_Corralejo%2C_duna_perfecta.jpg" decoding="async" width="220" height="330" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/95/Dunas_de_Corralejo%2C_duna_perfecta.jpg/330px-Dunas_de_Corralejo%2C_duna_perfecta.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/95/Dunas_de_Corralejo%2C_duna_perfecta.jpg/440px-Dunas_de_Corralejo%2C_duna_perfecta.jpg 2x" data-file-width="2000" data-file-height="3000" /></a></span> </div> <div class="legend">Le nombre d'onde par mètre, ou fréquence spatiale, est l'inverse de la <a href="/wiki/Longueur_d%27onde" title="Longueur d'onde">longueur d'onde</a>.</div><table><caption class="hidden" style="">Données clés</caption> <tbody><tr> <th scope="row"><a href="/wiki/Unit%C3%A9s_de_base_du_Syst%C3%A8me_international" title="Unités de base du Système international">Unités SI</a></th> <td> nombre par <a href="/wiki/M%C3%A8tre" title="Mètre">mètre</a> (<abbr class="abbr" title="par mètre">m<sup>−1</sup></abbr>)</td> </tr> <tr> <th scope="row"><a href="/wiki/Dimension_(physique)" title="Dimension (physique)">Dimension</a></th> <td> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle [\sigma ]=\mathrm {L} ^{-1}\cdot {1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">[</mo> <mi>σ</mi> <mo stretchy="false">]</mo> <mo>=</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">L</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle [\sigma ]=\mathrm {L} ^{-1}\cdot {1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2609c5f69e9e114898203c97b898ad8d0e5aafa4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.349ex; height:3.176ex;" alt="{\displaystyle [\sigma ]=\mathrm {L} ^{-1}\cdot {1}}"></span></td> </tr> <tr> <th scope="row">Nature</th> <td> Grandeur <a href="/wiki/Scalaire_(physique)" title="Scalaire (physique)">scalaire</a> <a href="/wiki/Grandeur_intensive" class="mw-redirect" title="Grandeur intensive">intensive</a></td> </tr> <tr> <th scope="row">Symbole usuel</th> <td> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>σ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/59f59b7c3e6fdb1d0365a494b81fb9a696138c36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle \sigma }"></span></td> </tr> <tr> <th scope="row">Lien à d'autres grandeurs</th> <td> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma \equiv {\frac {1}{\lambda }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>σ</mi> <mo>≡</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mi>λ</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma \equiv {\frac {1}{\lambda }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/19796804e5c18dac3d5bbe2525377db166550996" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:6.62ex; height:5.343ex;" alt="{\displaystyle \sigma \equiv {\frac {1}{\lambda }}}"></span></td> </tr> </tbody></table><p class="navbar bordered noprint" style=""><span class="plainlinks navigation-not-searchable"><a class="external text" href="https://fr.wikipedia.org/w/index.php?title=Nombre_d%27onde&action=edit">modifier</a></span> <span typeof="mw:File"><a href="/wiki/Mod%C3%A8le:Infobox_Grandeur_physique" title="Consultez la documentation du modèle"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/12px-Info_Simple.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/18px-Info_Simple.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/38/Info_Simple.svg/24px-Info_Simple.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span></p></div> <p>En <a href="/wiki/Physique" title="Physique">physique</a>, le <b>nombre d'onde</b><sup id="cite_ref-:0_1-0" class="reference"><a href="#cite_note-:0-1"><span class="cite_crochet">[</span>1<span class="cite_crochet">]</span></a></sup> ou <b>nombre d'ondes</b><sup id="cite_ref-:1_2-0" class="reference"><a href="#cite_note-:1-2"><span class="cite_crochet">[</span>2<span class="cite_crochet">]</span></a></sup> (<i><span class="lang-en" lang="en">wave number</span></i> en anglais), ou encore la <b>répétence</b> (<i><span class="lang-en" lang="en">repetency</span></i>)<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite_crochet">[</span>3<span class="cite_crochet">]</span></a></sup>, est une <a href="/wiki/Grandeur_physique" title="Grandeur physique">grandeur</a> <a href="/wiki/Proportionnalit%C3%A9" title="Proportionnalité">proportionnelle</a> à l'<a href="/wiki/Inverse" title="Inverse">inverse</a> de la <a href="/wiki/Longueur_d%27onde" title="Longueur d'onde">longueur d'onde</a>. </p><p>Deux <a href="/wiki/D%C3%A9finition" title="Définition">définitions</a> du nombre d'onde doivent être distinguées<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite_crochet">[</span>4<span class="cite_crochet">]</span></a></sup>. </p> <ol><li>Le nombre d'onde est la <a href="/wiki/Norme_(math%C3%A9matiques)" title="Norme (mathématiques)">norme</a> du <a href="/wiki/Vecteur_d%27onde" title="Vecteur d'onde">vecteur d'onde</a><sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite_crochet">[</span>5<span class="cite_crochet">]</span></a></sup>. Son unité est le <a href="/wiki/Radian" title="Radian">radian</a> par <a href="/wiki/M%C3%A8tre" title="Mètre">mètre</a>. Il est relié à la longueur d'onde par l'équation <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k={\frac {2\pi }{\lambda }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>π</mi> </mrow> <mi>λ</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k={\frac {2\pi }{\lambda }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f567225915e2b51c00573536e20eee76db99740b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:7.64ex; height:5.343ex;" alt="{\displaystyle k={\frac {2\pi }{\lambda }}}"></span>. Il est l'analogue, dans l'espace, de la fréquence angulaire, ou <a href="/wiki/Vitesse_angulaire" title="Vitesse angulaire">pulsation</a>, et devrait être qualifié d'<b>angulaire</b><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite_crochet">[</span>6<span class="cite_crochet">]</span></a></sup> afin de le distinguer du suivant. Il est parfois qualifié de <b>circulaire</b>.</li> <li>Le nombre d'onde, couramment noté <a href="/wiki/Sigma" title="Sigma">σ</a>, désigne l'inverse de la longueur d'onde<sup id="cite_ref-:0_1-1" class="reference"><a href="#cite_note-:0-1"><span class="cite_crochet">[</span>1<span class="cite_crochet">]</span></a></sup><sup class="reference cite_virgule">,</sup><sup id="cite_ref-:1_2-1" class="reference"><a href="#cite_note-:1-2"><span class="cite_crochet">[</span>2<span class="cite_crochet">]</span></a></sup> <a href="/wiki/Lambda" title="Lambda">λ</a> : <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma ={\frac {1}{\lambda }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>σ</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mi>λ</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma ={\frac {1}{\lambda }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b0274375095a9cb7f811d803bcbeb9978776ff8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:6.62ex; height:5.343ex;" alt="{\displaystyle \sigma ={\frac {1}{\lambda }}}"></span>. Il est l'<a href="/wiki/Analogie" title="Analogie">analogue</a> dans l'espace de la <a href="/wiki/Fr%C3%A9quence" title="Fréquence">fréquence (temporelle)</a> et est d'ailleurs souvent appelé <b><a href="/wiki/Fr%C3%A9quence_spatiale" title="Fréquence spatiale">fréquence spatiale</a></b>. Il s’exprime en <a href="/wiki/M%C3%A8tre_%C3%A0_la_puissance_moins_un" title="Mètre à la puissance moins un">mètre à la puissance moins un</a>. Principalement utilisé en <a href="/wiki/Spectroscopie" title="Spectroscopie">spectroscopie</a>, il est parfois qualifié de <b>spectroscopique</b><sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite_crochet">[</span>7<span class="cite_crochet">]</span></a></sup> (en anglais : <i><span class="lang-en" lang="en">spectroscopic wavenumber</span></i><sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite_crochet">[</span>8<span class="cite_crochet">]</span></a></sup>) pour le distinguer du précédent.</li></ol> <p>Le <b>nombre d'ondes spectroscopique</b> diffère d'un facteur 2π du <b>nombre d'onde angulaire</b>. </p><p>L'application d'une <a href="/wiki/Transform%C3%A9e_de_Fourier" class="mw-redirect" title="Transformée de Fourier">transformation de Fourier</a> sur des données fonctions du temps produit un spectre en fonction de la fréquence ou de la pulsation ; de façon analogue, son application sur les données fonctions de coordonnées spatiales (fonction de la position) produit un spectre en fonction du nombre d'onde. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="En_physique">En physique</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Nombre_d%27onde&veaction=edit&section=1" title="Modifier la section : En physique" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Nombre_d%27onde&action=edit&section=1" title="Modifier le code source de la section : En physique"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>En général, le nombre d'onde utilisé est le <b>nombre d'onde angulaire</b><sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite_crochet">[</span>9<span class="cite_crochet">]</span></a></sup>. </p><p>Il est couramment noté <i>k</i> et est le plus souvent <a href="/wiki/D%C3%A9finition" title="Définition">défini</a> comme le <a href="/wiki/Produit_(math%C3%A9matiques)" title="Produit (mathématiques)">produit</a> de <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2\pi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>π</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2\pi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/73efd1f6493490b058097060a572606d2c550a06" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.494ex; height:2.176ex;" alt="{\displaystyle 2\pi }"></span> et de l'<a href="/wiki/Inverse" title="Inverse">inverse</a> de la <a href="/wiki/Longueur_d%27onde" title="Longueur d'onde">longueur d'onde</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>λ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b43d0ea3c9c025af1be9128e62a18fa74bedda2a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.355ex; height:2.176ex;" alt="{\displaystyle \lambda }"></span> : </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k={\frac {2\pi }{\lambda }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>π</mi> </mrow> <mi>λ</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k={\frac {2\pi }{\lambda }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f567225915e2b51c00573536e20eee76db99740b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:7.64ex; height:5.343ex;" alt="{\displaystyle k={\frac {2\pi }{\lambda }}}"></span>,</dd></dl> <p>où : </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>λ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b43d0ea3c9c025af1be9128e62a18fa74bedda2a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.355ex; height:2.176ex;" alt="{\displaystyle \lambda }"></span> est la longueur d'onde,</li></ul> <p>Il est aussi exprimé par les <a href="/wiki/%C3%89quation" title="Équation">équations</a> suivantes : </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k={\frac {2\pi \nu }{v_{p}}}={\frac {\omega }{v_{p}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mn>2</mn> <mi>π</mi> <mi>ν</mi> </mrow> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>ω</mi> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> </mrow> </msub> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k={\frac {2\pi \nu }{v_{p}}}={\frac {\omega }{v_{p}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5c763ab7f069ff418940d9a36efc6178a9ccf7e9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:14.994ex; height:5.843ex;" alt="{\displaystyle k={\frac {2\pi \nu }{v_{p}}}={\frac {\omega }{v_{p}}}}"></span>,</dd></dl> <p>où : </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \nu }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ν</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \nu }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c15bbbb971240cf328aba572178f091684585468" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.232ex; height:1.676ex;" alt="{\displaystyle \nu }"></span> est la <a href="/wiki/Fr%C3%A9quence" title="Fréquence">fréquence</a>,</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle v_{p}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>v</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle v_{p}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/537e72b1a70774ae976de89f7919dc0e0a9bb86d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:2.187ex; height:2.343ex;" alt="{\displaystyle v_{p}}"></span> est la <a href="/wiki/Vitesse_de_phase" class="mw-redirect" title="Vitesse de phase">vitesse de phase</a> de l'onde (aussi appelée vitesse de propagation de l'onde ou simplement <a href="/wiki/C%C3%A9l%C3%A9rit%C3%A9" title="Célérité">célérité</a>),</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \omega }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ω</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \omega }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/48eff443f9de7a985bb94ca3bde20813ea737be8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.446ex; height:1.676ex;" alt="{\displaystyle \omega }"></span> est la <a href="/wiki/Fr%C3%A9quence_angulaire" class="mw-redirect" title="Fréquence angulaire">fréquence angulaire</a> ou pulsation.</li></ul> <p>Sa <a href="/wiki/Analyse_dimensionnelle" title="Analyse dimensionnelle">dimension</a> [<i>k</i>] est : </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle [k]=\mathrm {L} ^{-1}\cdot {1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo stretchy="false">[</mo> <mi>k</mi> <mo stretchy="false">]</mo> <mo>=</mo> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">L</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> </msup> <mo>⋅</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle [k]=\mathrm {L} ^{-1}\cdot {1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a7f53a0336a51aa57f525049d0c7409c8854af8b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.23ex; height:3.176ex;" alt="{\displaystyle [k]=\mathrm {L} ^{-1}\cdot {1}}"></span>,</dd></dl> <p>où : </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \mathrm {L} ^{-1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">L</mi> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \mathrm {L} ^{-1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/242f4936e04e29b51b67e73bf35e40cd5857bb6d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:3.786ex; height:2.676ex;" alt="{\displaystyle \mathrm {L} ^{-1}}"></span> est la dimension de l'inverse d'une <a href="/wiki/Longueur" title="Longueur">longueur</a>,</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/92d98b82a3778f043108d4e20960a9193df57cbf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 1}"></span> dénote l'<a href="/wiki/Grandeur_sans_dimension" title="Grandeur sans dimension">adimensionnalité</a> d'un <a href="/wiki/Angle_plan" title="Angle plan">angle plan</a>.</li></ul> <p>Il s'exprime ainsi, dans le <a href="/wiki/Syst%C3%A8me_international_d%27unit%C3%A9s" title="Système international d'unités">Système international d'unités</a>, en <a href="/wiki/Radian" title="Radian">radian</a> (s) par <a href="/wiki/M%C3%A8tre" title="Mètre">mètre</a> (<abbr class="abbr" title="radian par mètre">rad m<sup>−1</sup></abbr> ou <abbr class="abbr" title="radian par mètre">rad/m</abbr>). </p><p>Le nombre d'onde angulaire est intimement lié à celui de <a href="/wiki/Vecteur_d%27onde" title="Vecteur d'onde">vecteur d'onde</a>. </p> <div class="bandeau-container bandeau-section metadata bandeau-niveau-information"><div class="bandeau-cell bandeau-icone-css loupe">Article détaillé : <a href="/wiki/Relation_de_Planck-Einstein" title="Relation de Planck-Einstein">Relation de Planck-Einstein</a>.</div></div> <p>Le nombre d'onde angulaire intervient notamment dans la <a href="/wiki/Relation_de_Planck-Einstein" title="Relation de Planck-Einstein">relation de Planck-Einstein</a>, selon laquelle l'énergie <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4232c9de2ee3eec0a9c0a19b15ab92daa6223f9b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.776ex; height:2.176ex;" alt="{\displaystyle E}"></span> d'un <a href="/wiki/Photon" title="Photon">photon</a> est proportionnelle à la fréquence <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \nu }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ν</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \nu }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c15bbbb971240cf328aba572178f091684585468" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.232ex; height:1.676ex;" alt="{\displaystyle \nu }"></span> de l'<a href="/wiki/Onde_%C3%A9lectromagn%C3%A9tique" title="Onde électromagnétique">onde électromagnétique</a> associée au photon considéré : </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E=h\,\nu }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mi>h</mi> <mspace width="thinmathspace" /> <mi>ν</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E=h\,\nu }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2441f0d18c407348fad6227c408482eac2518b50" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.832ex; height:2.176ex;" alt="{\displaystyle E=h\,\nu }"></span>,</dd></dl> <p>où : </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle h}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b26be3e694314bc90c3215047e4a2010c6ee184a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.339ex; height:2.176ex;" alt="{\displaystyle h}"></span> est la <a href="/wiki/Constante_de_Planck" title="Constante de Planck">constante de Planck</a>.</li></ul> <p>La relation de Planck-Einstein peut s'exprimer en termes de longueur d'onde : </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle E=\hbar \,c\,k}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mi class="MJX-variant">ℏ</mi> <mspace width="thinmathspace" /> <mi>c</mi> <mspace width="thinmathspace" /> <mi>k</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E=\hbar \,c\,k}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8ee059190fa03423cbc09b47fba2de490c823619" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:9.173ex; height:2.176ex;" alt="{\displaystyle E=\hbar \,c\,k}"></span>,</dd></dl> <p>avec : </p> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \hbar }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi class="MJX-variant">ℏ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \hbar }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/de68de3a92517953436c93b5a76461d49160cc41" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.306ex; height:2.176ex;" alt="{\displaystyle \hbar }"></span>, la <a href="/wiki/Constante_de_Planck_r%C3%A9duite" class="mw-redirect" title="Constante de Planck réduite">constante de Planck réduite</a>,</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle c}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>c</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle c}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/86a67b81c2de995bd608d5b2df50cd8cd7d92455" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.007ex; height:1.676ex;" alt="{\displaystyle c}"></span>, la <a href="/wiki/Vitesse_de_la_lumi%C3%A8re" title="Vitesse de la lumière">vitesse de la lumière</a> dans le <a href="/wiki/Vide_(physique)" title="Vide (physique)">vide</a>,</li></ul> <p>d'où : </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k={\frac {E}{\hbar \,c}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>E</mi> <mrow> <mi class="MJX-variant">ℏ</mi> <mspace width="thinmathspace" /> <mi>c</mi> </mrow> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k={\frac {E}{\hbar \,c}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0fa9783921d8e1dee5c4c1ce0ca96e6b47ea17c7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:7.846ex; height:5.343ex;" alt="{\displaystyle k={\frac {E}{\hbar \,c}}}"></span>.</dd></dl> <p>On peut également attribuer un nombre d'onde à une particule matérielle d'<a href="/wiki/Moment_lin%C3%A9aire" title="Moment linéaire">impulsion</a> moyenne <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle p}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>p</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle p}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/81eac1e205430d1f40810df36a0edffdc367af36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-left: -0.089ex; width:1.259ex; height:2.009ex;" alt="{\displaystyle p}"></span>, en utilisant la <a href="/wiki/Hypoth%C3%A8se_de_De_Broglie" class="mw-redirect" title="Hypothèse de De Broglie">relation de de Broglie</a> : </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k\equiv {\frac {p}{\hbar }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mo>≡</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>p</mi> <mi class="MJX-variant">ℏ</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k\equiv {\frac {p}{\hbar }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a7fc06cdc99edbc63fbf28ec5a3ddf28c2be8447" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:6.452ex; height:5.009ex;" alt="{\displaystyle k\equiv {\frac {p}{\hbar }}}"></span>.</dd></dl> <div class="mw-heading mw-heading2"><h2 id="En_spectroscopie">En spectroscopie</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Nombre_d%27onde&veaction=edit&section=2" title="Modifier la section : En spectroscopie" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Nombre_d%27onde&action=edit&section=2" title="Modifier le code source de la section : En spectroscopie"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>En <a href="/wiki/Spectroscopie" title="Spectroscopie">spectroscopie</a>, le nombre d'onde ou nombre d'ondes <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\bar {\nu }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>ν</mi> <mo stretchy="false">¯</mo> </mover> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\bar {\nu }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6826f9ae312de1220c5048b5de34f5fcca83d172" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.316ex; height:2.009ex;" alt="{\displaystyle {\bar {\nu }}}"></span> (également noté <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>σ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/59f59b7c3e6fdb1d0365a494b81fb9a696138c36" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="{\displaystyle \sigma }"></span>) est le nombre d'oscillations de l'onde par unité de longueur, il est ainsi défini comme : </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\bar {\nu }}={\frac {1}{\lambda }}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>ν</mi> <mo stretchy="false">¯</mo> </mover> </mrow> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mi>λ</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\bar {\nu }}={\frac {1}{\lambda }}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5d7d32c28c492aaeb10d534aaec28916a0a5a06b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:6.606ex; height:5.343ex;" alt="{\displaystyle {\bar {\nu }}={\frac {1}{\lambda }}}"></span>.</dd></dl> <p>où <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \lambda }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>λ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b43d0ea3c9c025af1be9128e62a18fa74bedda2a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.355ex; height:2.176ex;" alt="{\displaystyle \lambda }"></span> est la longueur d'onde. L'unité du nombre d'ondes est donc le <abbr class="abbr" title="par mètre">m<sup>−1</sup></abbr>. </p><p>Par exemple, les nombres d'ondes des <a href="/wiki/Raie_spectrale" title="Raie spectrale">raies d'émission</a> de l'<a href="/wiki/Atome" title="Atome">atome</a> d'<a href="/wiki/Hydrog%C3%A8ne" title="Hydrogène">hydrogène</a> sont données par : </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\bar {\nu }}=R\left({\frac {1}{{n_{1}}^{2}}}-{\frac {1}{{n_{2}}^{2}}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>ν</mi> <mo stretchy="false">¯</mo> </mover> </mrow> </mrow> <mo>=</mo> <mi>R</mi> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msup> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msup> <mrow class="MJX-TeXAtom-ORD"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\bar {\nu }}=R\left({\frac {1}{{n_{1}}^{2}}}-{\frac {1}{{n_{2}}^{2}}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ddbef25e0946193c3546f43d824fc219a453a934" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:21.506ex; height:6.176ex;" alt="{\displaystyle {\bar {\nu }}=R\left({\frac {1}{{n_{1}}^{2}}}-{\frac {1}{{n_{2}}^{2}}}\right)}"></span>.</dd></dl> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b0bfb3769bf24d80e15374dc37b0441e2616e33" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.176ex;" alt="{\displaystyle R}"></span> est la <a href="/wiki/Constante_de_Rydberg" title="Constante de Rydberg">constante de Rydberg</a>.</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee784b70e772f55ede5e6e0bdc929994bff63413" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.449ex; height:2.009ex;" alt="{\displaystyle n_{1}}"></span> et <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/840e456e3058bc0be28e5cf653b170cdbfcc3be4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.449ex; height:2.009ex;" alt="{\displaystyle n_{2}}"></span> sont les numéros des <a href="/wiki/Orbitale_atomique" title="Orbitale atomique">orbitales</a> avec <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n_{2}>n_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>></mo> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n_{2}>n_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a7dff47d66f4b8b88a98a78832c447aee02c9d48" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:7.996ex; height:2.176ex;" alt="{\displaystyle n_{2}>n_{1}}"></span>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Sciences_atmosphériques"><span id="Sciences_atmosph.C3.A9riques"></span>Sciences atmosphériques</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Nombre_d%27onde&veaction=edit&section=3" title="Modifier la section : Sciences atmosphériques" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Nombre_d%27onde&action=edit&section=3" title="Modifier le code source de la section : Sciences atmosphériques"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="bandeau-container metadata bandeau-section bandeau-niveau-modere"><div class="bandeau-cell bandeau-icone" style="display:table-cell;padding-right:0.5em"><figure class="mw-halign-center noviewer" typeof="mw:File"><a href="/wiki/Fichier:2017-fr.wp-orange-source.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/2017-fr.wp-orange-source.svg/25px-2017-fr.wp-orange-source.svg.png" decoding="async" width="25" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/2017-fr.wp-orange-source.svg/38px-2017-fr.wp-orange-source.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a1/2017-fr.wp-orange-source.svg/50px-2017-fr.wp-orange-source.svg.png 2x" data-file-width="512" data-file-height="512" /></a><figcaption></figcaption></figure></div><div class="bandeau-cell" style="display:table-cell;padding-right:0.5em"> <div class="mw-collapsible mw-collapsed"><b>Cette section <a href="/wiki/Wikip%C3%A9dia:Citez_vos_sources" title="Wikipédia:Citez vos sources">ne cite pas suffisamment ses sources</a></b><small> (décembre 2016)</small>. <div class="mw-collapsible-content">Pour l'améliorer, ajoutez <a href="/wiki/Aide:Identifier_des_sources_fiables" title="Aide:Identifier des sources fiables">des références de qualité et vérifiables</a> (<a href="/wiki/Aide:Ins%C3%A9rer_une_r%C3%A9f%C3%A9rence_(%C3%89diteur_visuel)" title="Aide:Insérer une référence (Éditeur visuel)">comment faire ?</a>) ou le modèle <a href="/wiki/Mod%C3%A8le:R%C3%A9f%C3%A9rence_n%C3%A9cessaire" title="Modèle:Référence nécessaire">{{Référence nécessaire}}</a> sur les passages nécessitant une source.</div></div> </div></div> <p>En sciences de l'<a href="/wiki/Atmosph%C3%A8re_de_la_Terre" class="mw-redirect" title="Atmosphère de la Terre">atmosphère</a>, le nombre d'onde est défini comme la longueur du domaine spatial divisé par la <a href="/wiki/Longueur_d%27onde" title="Longueur d'onde">longueur d'onde</a>, ce qui est équivalent au nombre de fois où une onde a la même <a href="/wiki/Phase_(onde)" title="Phase (onde)">phase</a> sur l'ensemble du domaine spatial. Le domaine spatial peut être 2π dans un cas zéro-dimensionnel, ou <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2\pi R\cos \left(\phi \right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>π</mi> <mi>R</mi> <mi>cos</mi> <mo>⁡</mo> <mrow> <mo>(</mo> <mi>ϕ</mi> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2\pi R\cos \left(\phi \right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2a3362870927106b57ba5a36f2222a76513f17bf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:10.951ex; height:2.843ex;" alt="{\displaystyle 2\pi R\cos \left(\phi \right)}"></span> pour une onde dans l'atmosphère, avec <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b0bfb3769bf24d80e15374dc37b0441e2616e33" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.176ex;" alt="{\displaystyle R}"></span> le rayon de la <a href="/wiki/Terre" title="Terre">Terre</a> et <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \phi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ϕ</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \phi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/72b1f30316670aee6270a28334bdf4f5072cdde4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.385ex; height:2.509ex;" alt="{\displaystyle \phi }"></span> la <a href="/wiki/Latitude" title="Latitude">latitude</a>. Les diagrammes nombre d'onde-fréquence sont courants pour représenter les ondes dans l'atmosphère. </p> <div class="mw-heading mw-heading2"><h2 id="Notes_et_références"><span id="Notes_et_r.C3.A9f.C3.A9rences"></span>Notes et références</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Nombre_d%27onde&veaction=edit&section=4" title="Modifier la section : Notes et références" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Nombre_d%27onde&action=edit&section=4" title="Modifier le code source de la section : Notes et références"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="references-small decimal" style=""><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-:0-1"><span class="mw-cite-backlink noprint">↑ <sup><a href="#cite_ref-:0_1-0">a</a> et <a href="#cite_ref-:0_1-1">b</a></sup> </span><span class="reference-text"><span class="ouvrage" id="1982">« <a rel="nofollow" class="external text" href="http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=726-05-02"><cite style="font-style:normal;">nombre d'onde (répétence)</cite></a> », sur <span class="italique">Vocabulaire électrotechnique international</span>, <time>1982</time></span>.</span> </li> <li id="cite_note-:1-2"><span class="mw-cite-backlink noprint">↑ <sup><a href="#cite_ref-:1_2-0">a</a> et <a href="#cite_ref-:1_2-1">b</a></sup> </span><span class="reference-text"><span class="ouvrage" id="2019"><cite class="italique">Le Système international d'unités (SI)</cite>, Sèvres, <a href="/wiki/Bureau_international_des_poids_et_mesures" title="Bureau international des poids et mesures">Bureau international des poids et mesures</a>, <time>2019</time>, <abbr class="abbr" title="neuvième">9<sup>e</sup></abbr> <abbr class="abbr" title="édition">éd.</abbr>, 216 <abbr class="abbr" title="pages">p.</abbr> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-92-822-2272-0" title="Spécial:Ouvrages de référence/978-92-822-2272-0"><span class="nowrap">978-92-822-2272-0</span></a>, <a rel="nofollow" class="external text" href="https://www.bipm.org/utils/common/pdf/si-brochure/SI-Brochure-9.pdf">lire en ligne</a> <abbr class="abbr indicateur-format format-pdf" title="Document au format Portable Document Format (PDF) d'Adobe">[PDF]</abbr>)</small>, <abbr class="abbr" title="page">p.</abbr> 27<span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Le+Syst%C3%A8me+international+d%27unit%C3%A9s+%28SI%29&rft.place=S%C3%A8vres&rft.pub=Bureau+international+des+poids+et+mesures&rft.edition=9&rft.date=2019&rft.pages=27&rft.tpages=216&rft.isbn=978-92-822-2272-0&rfr_id=info%3Asid%2Ffr.wikipedia.org%3ANombre+d%27onde"></span></span>.</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink noprint"><a href="#cite_ref-3">↑</a> </span><span class="reference-text"><abbr class="abbr indicateur-langue" title="Langues : anglais et français">(en + fr)</abbr> Entrée « nombre d'ondes », sur <i><a href="/wiki/Termium_Plus" class="mw-redirect" title="Termium Plus">TERMIUM Plus</a></i>, la <a href="/wiki/Base_de_donn%C3%A9es" title="Base de données">banque de données</a> <a href="/wiki/Terminologie" title="Terminologie">terminologiques</a> et <a href="/wiki/Linguistique" title="Linguistique">linguistiques</a> du <a href="/wiki/Gouvernement_du_Canada" title="Gouvernement du Canada">gouvernement du Canada</a> (<a rel="nofollow" class="external text" href="http://www.btb.termiumplus.gc.ca/tpv2alpha/alpha-fra.html?lang=fra&srchtxt=repetency&i=1&index=enw&sg_kp=825802&fchrcrdnm=1#zz1">lire en ligne</a> <abbr class="abbr indicateur-format format-html" title="Fichier au format Hypertext Markup Language (HTML)">[html]</abbr>)</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink noprint"><a href="#cite_ref-4">↑</a> </span><span class="reference-text">Entrée <span class="ouvrage" id="2009"><cite style="font-style:normal">« nombre d'onde »</cite>, dans Richard Taillet, Pascal Febvre et Loïc Villain, <cite class="italique">Dictionnaire de physique</cite>, Bruxelles, <a href="/wiki/De_Boeck_Universit%C3%A9" class="mw-redirect" title="De Boeck Université">De Boeck Université</a>, 2009 (<abbr class="abbr" title="deuxième">2<sup>e</sup></abbr> éd.), XII-741 <abbr class="abbr" title="pages">p.</abbr> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-2-8041-0248-7" title="Spécial:Ouvrages de référence/978-2-8041-0248-7"><span class="nowrap">978-2-8041-0248-7</span></a>, <a href="/wiki/Online_Computer_Library_Center" title="Online Computer Library Center">OCLC</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://worldcat.org/fr/title/632092205">632092205</a></span>, <a href="/wiki/Biblioth%C3%A8que_nationale_de_France" title="Bibliothèque nationale de France">BNF</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb421229458.public">42122945</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.btitle=Dictionnaire+de+physique&rft.atitle=nombre+d%27onde&rft.place=Bruxelles&rft.pub=De+Boeck+Universit%C3%A9&rft.date=2009&rft.tpages=XII-741&rft.isbn=978-2-8041-0248-7&rft_id=info%3Aoclcnum%2F632092205&rfr_id=info%3Asid%2Ffr.wikipedia.org%3ANombre+d%27onde"></span></span> <abbr class="abbr" title="page">p.</abbr> 380 (<a rel="nofollow" class="external text" href="https://books.google.fr/books?id=fts1ydufciQC&pg=PA380#v=onepage&q&f=false">lire en ligne</a> <abbr class="abbr indicateur-format format-html" title="Fichier au format Hypertext Markup Language (HTML)">[html]</abbr>)</span> </li> <li id="cite_note-5"><span class="mw-cite-backlink noprint"><a href="#cite_ref-5">↑</a> </span><span class="reference-text"><span class="ouvrage" id="2009">« <a rel="nofollow" class="external text" href="http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=103-10-09"><cite style="font-style:normal;">vecteur d'onde</cite></a> », sur <span class="italique">Vocabulaire électrotechnique international</span>, <time class="nowrap" datetime="2009-12" data-sort-value="2009-12">décembre 2009</time></span>.</span> </li> <li id="cite_note-6"><span class="mw-cite-backlink noprint"><a href="#cite_ref-6">↑</a> </span><span class="reference-text"><span class="ouvrage" id="2009">« <a rel="nofollow" class="external text" href="http://www.electropedia.org/iev/iev.nsf/display?openform&ievref=103-10-12"><cite style="font-style:normal;">nombre d'onde angulaire (répétence angulaire)</cite></a> », sur <span class="italique">Vocabulaire électrotechnique international</span>, <time class="nowrap" datetime="2009-12" data-sort-value="2009-12">décembre 2009</time></span>.</span> </li> <li id="cite_note-7"><span class="mw-cite-backlink noprint"><a href="#cite_ref-7">↑</a> </span><span class="reference-text">Par exemple, <span class="ouvrage" id="Quang2010"><span class="ouvrage" id="Carine_Quang2010">Carine <span class="nom_auteur">Quang</span>, <cite class="italique">Modélisation des propriétés statistiques de la luminance infrarouge du fond de ciel observée au limbe depuis la stratosphère</cite>, Paris, <a href="/wiki/Universit%C3%A9_Pierre-et-Marie-Curie" title="Université Pierre-et-Marie-Curie">Université Pierre et Marie Curie (Paris-VI)</a>, <time>2010</time> <small style="line-height:1em;">(<a rel="nofollow" class="external text" href="http://tel.archives-ouvertes.fr/docs/00/51/17/32/PDF/memoire-these-quang.pdf">lire en ligne</a> <abbr class="abbr indicateur-format format-pdf" title="Document au format Portable Document Format (PDF) d'Adobe">[PDF]</abbr>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Mod%C3%A9lisation+des+propri%C3%A9t%C3%A9s+statistiques+de+la+luminance+infrarouge+du+fond+de+ciel+observ%C3%A9e+au+limbe+depuis+la+stratosph%C3%A8re&rft.place=Paris&rft.pub=Universit%C3%A9+Pierre+et+Marie+Curie+%28Paris-VI%29&rft.aulast=Quang&rft.aufirst=Carine&rft.date=2010&rfr_id=info%3Asid%2Ffr.wikipedia.org%3ANombre+d%27onde"></span></span></span>, <abbr class="abbr" title="page">p.</abbr> 11</span> </li> <li id="cite_note-8"><span class="mw-cite-backlink noprint"><a href="#cite_ref-8">↑</a> </span><span class="reference-text"><span class="ouvrage" id="Fowles2012"><span class="ouvrage" id="Grant_R._Fowles2012"><abbr class="abbr indicateur-langue" title="Langue : anglais">(en)</abbr> Grant R. <span class="nom_auteur">Fowles</span>, <cite class="italique" lang="en">Introduction to Modern Optics</cite>, New York, <a href="/wiki/Dover_Publications" title="Dover Publications">Dover Publications</a>, 2012 réimpression de la <abbr class="abbr" title="seconde">2<sup>de</sup></abbr> éd. (1989) (<abbr class="abbr" title="première">1<sup>re</sup></abbr> <abbr class="abbr" title="édition">éd.</abbr> 1975), VIII-328 <abbr class="abbr" title="pages">p.</abbr> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/978-0-486-65957-2" title="Spécial:Ouvrages de référence/978-0-486-65957-2"><span class="nowrap">978-0-486-65957-2</span></a> et <a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/0-486-65957-7" title="Spécial:Ouvrages de référence/0-486-65957-7"><span class="nowrap">0-486-65957-7</span></a>, <a href="/wiki/Online_Computer_Library_Center" title="Online Computer Library Center">OCLC</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://worldcat.org/fr/title/18834711">18834711</a></span>, <a href="/wiki/Biblioth%C3%A8que_nationale_de_France" title="Bibliothèque nationale de France">BNF</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb37390231j.public">37390231</a></span>, <a rel="nofollow" class="external text" href="https://books.google.com/books?id=SL1n9TuJ5YMC&printsec=frontcover">lire en ligne</a>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Introduction+to+Modern+Optics&rft.place=New+York&rft.pub=Dover+Publications&rft.aulast=Fowles&rft.aufirst=Grant+R.&rft.date=1989&rft.tpages=VIII-328&rft.isbn=978-0-486-65957-2&rft_id=info%3Aoclcnum%2F18834711&rfr_id=info%3Asid%2Ffr.wikipedia.org%3ANombre+d%27onde"></span></span></span>, <abbr class="abbr" title="page">p.</abbr> 9 (<a rel="nofollow" class="external text" href="https://books.google.fr/books?id=VeS7AQAAQBAJ&pg=PA9#v=onepage&q&f=false">lire en ligne</a> <abbr class="abbr indicateur-format format-html" title="Fichier au format Hypertext Markup Language (HTML)">[html]</abbr>)</span> </li> <li id="cite_note-9"><span class="mw-cite-backlink noprint"><a href="#cite_ref-9">↑</a> </span><span class="reference-text">Entrée <span class="ouvrage" id="2000"><cite style="font-style:normal">« nombre d'onde angulaire »</cite>, dans Michel Dubesset (préf. Gérard Grau), <cite class="italique">Le Manuel du Système international d'unités : lexique et conversions</cite>, Paris, Technip, <abbr class="abbr" title="collection">coll.</abbr> « Publications de l'<a href="/wiki/IFP_%C3%89nergies_nouvelles" title="IFP Énergies nouvelles">Institut français du pétrole</a> », 2000 (<abbr class="abbr" title="première">1<sup>re</sup></abbr> éd.), XX-169 <abbr class="abbr" title="pages">p.</abbr> <small style="line-height:1em;">(<a href="/wiki/International_Standard_Book_Number" title="International Standard Book Number">ISBN</a> <a href="/wiki/Sp%C3%A9cial:Ouvrages_de_r%C3%A9f%C3%A9rence/2-7108-0762-9" title="Spécial:Ouvrages de référence/2-7108-0762-9"><span class="nowrap">2-7108-0762-9</span></a>, <a href="/wiki/Online_Computer_Library_Center" title="Online Computer Library Center">OCLC</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://worldcat.org/fr/title/46588004">46588004</a></span>, <a href="/wiki/Biblioth%C3%A8que_nationale_de_France" title="Bibliothèque nationale de France">BNF</a> <span class="plainlinks noarchive nowrap"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb37624276j.public">37624276</a></span>)</small><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.btitle=Le+Manuel+du+Syst%C3%A8me+international+d%27unit%C3%A9s&rft.atitle=nombre+d%27onde+angulaire&rft.place=Paris&rft.pub=Technip&rft.stitle=lexique+et+conversions&rft.date=2000&rft.tpages=XX-169&rft.isbn=2-7108-0762-9&rft_id=info%3Aoclcnum%2F46588004&rfr_id=info%3Asid%2Ffr.wikipedia.org%3ANombre+d%27onde"></span></span>, <abbr class="abbr" title="page">p.</abbr> 95 (<a rel="nofollow" class="external text" href="https://books.google.fr/books?id=6_rdRIKf67gC&pg=PA95#v=onepage&q&f=false">lire en ligne</a>)</span> </li> </ol></div> </div> <div class="mw-heading mw-heading2"><h2 id="Articles_connexes">Articles connexes</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Nombre_d%27onde&veaction=edit&section=5" title="Modifier la section : Articles connexes" class="mw-editsection-visualeditor"><span>modifier</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Nombre_d%27onde&action=edit&section=5" title="Modifier le code source de la section : Articles connexes"><span>modifier le code</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Onde" title="Onde">Onde</a></li> <li><a href="/wiki/Vecteur_d%27onde" title="Vecteur d'onde">Vecteur d'onde</a></li> <li><a href="/wiki/Directivit%C3%A9" title="Directivité">Directivité</a></li></ul> <ul id="bandeau-portail" class="bandeau-portail"><li><span class="bandeau-portail-element"><span class="bandeau-portail-icone"><span class="noviewer" typeof="mw:File"><a href="/wiki/Portail:Physique" title="Portail de la physique"><img alt="icône décorative" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/22/Circle-icons-physics-logo.svg/24px-Circle-icons-physics-logo.svg.png" decoding="async" width="24" height="24" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/22/Circle-icons-physics-logo.svg/36px-Circle-icons-physics-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/22/Circle-icons-physics-logo.svg/48px-Circle-icons-physics-logo.svg.png 2x" data-file-width="512" data-file-height="512" /></a></span></span> <span class="bandeau-portail-texte"><a href="/wiki/Portail:Physique" title="Portail:Physique">Portail de la physique</a></span> </span></li> </ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; 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