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Collimated beam - Wikipedia
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vector-toc-level-2"> <a class="vector-toc-link" href="#Distant_sources"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Distant sources</span> </div> </a> <ul id="toc-Distant_sources-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Lenses_and_mirrors" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Lenses_and_mirrors"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4</span> <span>Lenses and mirrors</span> </div> </a> <ul id="toc-Lenses_and_mirrors-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Collimation_and_decollimation" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Collimation_and_decollimation"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Collimation and decollimation</span> </div> </a> <ul id="toc-Collimation_and_decollimation-sublist" class="vector-toc-list"> </ul> </li> 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</div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" 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">Toggle the table of contents</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">Collimated beam</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="Go to an article in another language. Available in 17 languages" > <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-17" 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">17 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Llum_col%C2%B7limada" title="Llum col·limada – Catalan" lang="ca" hreflang="ca" data-title="Llum col·limada" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Kollimation" title="Kollimation – German" lang="de" hreflang="de" data-title="Kollimation" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Luz_colimada" title="Luz colimada – Spanish" lang="es" hreflang="es" data-title="Luz colimada" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Lumi%C3%A8re_collimat%C3%A9e" title="Lumière collimatée – French" lang="fr" hreflang="fr" data-title="Lumière collimatée" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Feixe_colimado" title="Feixe colimado – Galician" lang="gl" hreflang="gl" data-title="Feixe colimado" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B8%E0%A4%AE%E0%A4%BE%E0%A4%A8%E0%A5%8D%E0%A4%A4%E0%A4%B0%E0%A5%80%E0%A4%AF_%E0%A4%95%E0%A4%BF%E0%A4%B0%E0%A4%A3%E0%A4%AA%E0%A5%81%E0%A4%82%E0%A4%9C" title="समान्तरीय किरणपुंज – Hindi" lang="hi" hreflang="hi" data-title="समान्तरीय किरणपुंज" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Luce_collimata" title="Luce collimata – Italian" lang="it" hreflang="it" data-title="Luce collimata" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A7%D7%A8%D7%A0%D7%99_%D7%90%D7%95%D7%A8_%D7%9E%D7%A7%D7%91%D7%99%D7%9C%D7%95%D7%AA" title="קרני אור מקבילות – Hebrew" lang="he" hreflang="he" data-title="קרני אור מקבילות" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Kollimatioun" title="Kollimatioun – Luxembourgish" lang="lb" hreflang="lb" data-title="Kollimatioun" data-language-autonym="Lëtzebuergesch" data-language-local-name="Luxembourgish" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Kollimert_str%C3%A5le" title="Kollimert stråle – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Kollimert stråle" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian 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/%C5%9Awiat%C5%82o_skolimowane" title="Światło skolimowane – Polish" lang="pl" hreflang="pl" data-title="Światło skolimowane" data-language-autonym="Polski" data-language-local-name="Polish" 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/Colima%C3%A7%C3%A3o" title="Colimação – Portuguese" lang="pt" hreflang="pt" data-title="Colimação" data-language-autonym="Português" data-language-local-name="Portuguese" 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%9A%D0%BE%D0%BB%D0%BB%D0%B8%D0%BC%D0%B0%D1%86%D0%B8%D1%8F" title="Коллимация – Russian" lang="ru" hreflang="ru" data-title="Коллимация" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Collimated_light" title="Collimated light – Simple English" lang="en-simple" hreflang="en-simple" data-title="Collimated light" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Kolimacija" title="Kolimacija – Slovenian" lang="sl" hreflang="sl" data-title="Kolimacija" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Kollimering" title="Kollimering – Swedish" lang="sv" hreflang="sv" data-title="Kollimering" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Ko%C5%9Futlanm%C4%B1%C5%9F_demet" title="Koşutlanmış demet – Turkish" lang="tr" hreflang="tr" data-title="Koşutlanmış demet" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</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/Q1571347#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit 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</div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Appearance"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Appearance</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">move to 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typeof="mw:File/Thumb"><a href="/wiki/File:Collimator2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/32/Collimator2.svg/220px-Collimator2.svg.png" decoding="async" width="220" height="314" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/32/Collimator2.svg/330px-Collimator2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/32/Collimator2.svg/440px-Collimator2.svg.png 2x" data-file-width="512" data-file-height="731" /></a><figcaption>In the lower picture, the light has been collimated.</figcaption></figure> <p>A <b>collimated beam</b> of <a href="/wiki/Light" title="Light">light</a> or other <a href="/wiki/Electromagnetic_radiation" title="Electromagnetic radiation">electromagnetic radiation</a> has parallel <a href="/wiki/Ray_(optics)" title="Ray (optics)">rays</a>, and therefore will spread minimally as it propagates. A <a href="/wiki/Laser_beam" class="mw-redirect" title="Laser beam">laser beam</a> is an archetypical example. A perfectly collimated <a href="/wiki/Light_beam" title="Light beam">light beam</a>, with no <a href="/wiki/Beam_divergence" title="Beam divergence">divergence</a>, would not disperse with distance. However, <a href="/wiki/Diffraction" title="Diffraction">diffraction</a> prevents the creation of any such beam.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p><p>Light can be approximately collimated by a number of processes, for instance by means of a <a href="/wiki/Collimator" title="Collimator">collimator</a>. Perfectly collimated light is sometimes said to be <i>focused at infinity</i>. Thus, as the distance from a point source increases, the spherical <a href="/wiki/Wavefront" title="Wavefront">wavefronts</a> become flatter and closer to <a href="/wiki/Plane_wave" title="Plane wave">plane waves</a>, which are perfectly collimated. </p><p>Other forms of electromagnetic radiation can also be collimated. In <a href="/wiki/Radiology" title="Radiology">radiology</a>, <a href="/wiki/X-rays" class="mw-redirect" title="X-rays">X-rays</a> are collimated to reduce the volume of the patient's tissue that is irradiated, and to remove stray photons that reduce the quality of the x-ray image ("film fog"). In <a href="/wiki/Scintigraphy" title="Scintigraphy">scintigraphy</a>, a gamma ray collimator is used in front of a detector to allow only photons perpendicular to the surface to be detected.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p><p>The term <i>collimated</i> may also be applied to <a href="/wiki/Particle_beam" title="Particle beam">particle beams</a> – a <b>collimated particle beam</b> – where typically shielding blocks of high density materials (such as <a href="/wiki/Lead" title="Lead">lead</a>, <a href="/wiki/Woods_metal" class="mw-redirect" title="Woods metal">bismuth alloys</a>, etc.) may be used to absorb or block peripheral particles from a desired forward direction, especially a sequence of such absorbing <a href="/wiki/Collimator" title="Collimator">collimators</a>. This method of particle collimation is routinely deployed and is ubiquitous in every <a href="/wiki/Particle_accelerator" title="Particle accelerator">particle accelerator</a> complex in the world. An additional method enabling this same forward collimation effect, less well studied, may deploy strategic nuclear polarization (<a href="/wiki/Magnetization" title="Magnetization">magnetic polarization</a> of nuclei) if the requisite reactions are designed into any given experimental applications. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Etymology">Etymology</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Collimated_beam&action=edit&section=1" title="Edit section: Etymology"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The word "collimate" comes from the <a href="/wiki/Latin" title="Latin">Latin</a> verb <i>collimare</i>, which originated in a misreading of <i>collineare</i>, "to direct in a straight line".<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Sources">Sources</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Collimated_beam&action=edit&section=2" title="Edit section: Sources"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Lasers">Lasers</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Collimated_beam&action=edit&section=3" title="Edit section: Lasers"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Laser" title="Laser">Laser</a> light from gas or crystal lasers is highly collimated because it is formed in an <a href="/wiki/Optical_cavity" title="Optical cavity">optical cavity</a> between two parallel <a href="/wiki/Mirror" title="Mirror">mirrors</a> which constrain the light to a path perpendicular to the surfaces of the mirrors.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> In practice, gas lasers can use concave mirrors, flat mirrors, or a combination of both.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> The <a href="/wiki/Divergence_(optics)" class="mw-redirect" title="Divergence (optics)">divergence</a> of high-quality laser beams is commonly less than 1 <a href="/wiki/Milliradian" title="Milliradian">milliradian</a> (3.4 <a href="/wiki/Arcmin" class="mw-redirect" title="Arcmin">arcmin</a>), and can be much less for large-diameter beams. <a href="/wiki/Laser_diode" title="Laser diode">Laser diodes</a> emit less-collimated light due to their short cavity, and therefore higher collimation requires a collimating lens. </p> <div class="mw-heading mw-heading3"><h3 id="Synchrotron_light">Synchrotron light</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Collimated_beam&action=edit&section=4" title="Edit section: Synchrotron light"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Synchrotron_light" class="mw-redirect" title="Synchrotron light">Synchrotron light</a> is very well collimated.<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> It is produced by bending relativistic electrons (i.e. those moving at <a href="/wiki/Special_relativity" title="Special relativity">relativistic</a> speeds) around a circular track. When the electrons are at relativistic speeds, the resulting radiation is highly collimated, a result which does not occur at lower speeds.<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Distant_sources">Distant sources</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Collimated_beam&action=edit&section=5" title="Edit section: Distant sources"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The light from <a href="/wiki/Star" title="Star">stars</a> (other than the <a href="/wiki/Sun" title="Sun">Sun</a>) arrives at Earth precisely collimated, because stars are so far away they present no detectable angular size. However, due to refraction and turbulence in the Earth's atmosphere, starlight arrives slightly uncollimated at the ground with an <a href="/wiki/Astronomical_seeing" title="Astronomical seeing">apparent angular diameter of about 0.4 arcseconds</a>. Direct rays of light from the Sun arrive at the Earth uncollimated by one-half degree, this being the <a href="/wiki/Angular_diameter" title="Angular diameter">angular diameter</a> of the Sun as seen from Earth. During a <a href="/wiki/Solar_eclipse" title="Solar eclipse">solar eclipse</a>, the Sun's light becomes increasingly collimated as the visible surface shrinks to a thin crescent and ultimately a <a href="/wiki/Baily%27s_beads" title="Baily's beads">small point</a>, producing the phenomena of distinct shadows and <a href="/wiki/Shadow_bands" title="Shadow bands">shadow bands</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Lenses_and_mirrors">Lenses and mirrors</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Collimated_beam&action=edit&section=6" title="Edit section: Lenses and mirrors"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:CollimatingLensSVG.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/39/CollimatingLensSVG.svg/150px-CollimatingLensSVG.svg.png" decoding="async" width="150" height="103" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/39/CollimatingLensSVG.svg/225px-CollimatingLensSVG.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/39/CollimatingLensSVG.svg/300px-CollimatingLensSVG.svg.png 2x" data-file-width="502" data-file-height="346" /></a><figcaption>An example of an optical collimating lens.</figcaption></figure><p>A perfect <a href="/wiki/Parabolic_mirror" class="mw-redirect" title="Parabolic mirror">parabolic mirror</a> will bring parallel rays to a focus at a single point. Conversely, a point source at the focus of a parabolic mirror will produce a beam of collimated light creating a <a href="/wiki/Collimator" title="Collimator">collimator</a>. Since the source needs to be small, such an optical system cannot produce much optical power. <a href="/wiki/Spherical_mirror" class="mw-redirect" title="Spherical mirror">Spherical mirrors</a> are easier to make than parabolic mirrors and they are often used to produce approximately collimated light. Many types of <a href="/wiki/Lens_(optics)" class="mw-redirect" title="Lens (optics)">lenses</a> can also produce collimated light from point-like sources. </p><div class="mw-heading mw-heading2"><h2 id="Collimation_and_decollimation">Collimation and decollimation</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Collimated_beam&action=edit&section=7" title="Edit section: Collimation and decollimation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>"Collimation" refers to all the optical elements in an instrument being on their designed <a href="/wiki/Optical_axis" title="Optical axis">optical axis</a>. It also refers to the process of adjusting an optical instrument so that all its elements are on that designed axis (in line and parallel). The <a href="/wiki/Binoculars#Alignment" title="Binoculars">unconditional aligning</a> of binoculars is a 3-axis collimation, meaning both optical axis that provide stereoscopic vision are aligned parallel with the axis of the hinge used to select various <a href="/wiki/Interpupillary_distance" class="mw-redirect" title="Interpupillary distance">interpupillary distance</a> settings. With regards to a telescope, the term refers to the fact that the optical axis of each optical component should be centered and parallel, so that collimated light emerges from the eyepiece. Most amateur reflector telescopes need to be re-collimated every few years to maintain optimum performance. This can be done by simple visual methods such as looking down the optical assembly with no eyepiece to make sure the components are lined up, by using a <a href="/wiki/Cheshire_eyepiece" title="Cheshire eyepiece">Cheshire eyepiece</a>, or with the assistance of a simple laser collimator or <a href="/wiki/Autocollimator" title="Autocollimator">autocollimator</a>. Collimation can also be tested using a <a href="/wiki/Shearing_interferometer" title="Shearing interferometer">shearing interferometer</a>, which is often used to test laser collimation. </p><p>"Decollimation" is any mechanism or process which causes a beam with the minimum possible <a href="/wiki/Ray_(optics)" title="Ray (optics)">ray</a> divergence to diverge or converge from parallelism. Decollimation may be deliberate for systems reasons, or may be caused by many factors, such as <a href="/wiki/Refractive_index" title="Refractive index">refractive index</a> inhomogeneities, occlusions, <a href="/wiki/Scattering" title="Scattering">scattering</a>, <a href="/wiki/Deflection_(physics)" title="Deflection (physics)">deflection</a>, <a href="/wiki/Diffraction" title="Diffraction">diffraction</a>, <a href="/wiki/Reflection_(physics)" title="Reflection (physics)">reflection</a>, and <a href="/wiki/Refraction" title="Refraction">refraction</a>. Decollimation must be accounted for to fully treat many systems such as <a href="/wiki/Radio" title="Radio">radio</a>, <a href="/wiki/Radar" title="Radar">radar</a>, <a href="/wiki/Sonar" title="Sonar">sonar</a>, and <a href="/wiki/Optical_communication" title="Optical communication">optical communications</a>. </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Collimated_beam&action=edit&section=8" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Autocollimation" title="Autocollimation">Autocollimation</a></li> <li><a href="/wiki/Cross-cockpit_collimated_display" title="Cross-cockpit collimated display">Cross-cockpit collimated display</a></li> <li><a href="/wiki/Schlieren_photography" title="Schlieren photography">Schlieren photography</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Collimated_beam&action=edit&section=9" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation book cs1">"Introduction to Laser Technology". <a rel="nofollow" class="external text" href="http://file.lasersaur.com/docs-thirdparty/Lasers.pdf"><i>Melles Griot Catalog</i></a> <span class="cs1-format">(PDF)</span>. Melles Griot. n.d. p. 36.6<span class="reference-accessdate">. Retrieved <span class="nowrap">25 August</span> 2018</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Introduction+to+Laser+Technology&rft.btitle=Melles+Griot+Catalog&rft.pages=36.6&rft.pub=Melles+Griot&rft_id=http%3A%2F%2Ffile.lasersaur.com%2Fdocs-thirdparty%2FLasers.pdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACollimated+beam" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.nuclearfields.com/collimators-nuclear-medicine.htm">"Collimators for Nuclear Medicine"</a>. Nuclear Fields.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Collimators+for+Nuclear+Medicine&rft.pub=Nuclear+Fields&rft_id=http%3A%2F%2Fwww.nuclearfields.com%2Fcollimators-nuclear-medicine.htm&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACollimated+beam" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFLewisShort2010" class="citation encyclopaedia cs1">Lewis, Charlton T.; Short, Charles (2010) [1879]. <a rel="nofollow" class="external text" href="https://www.perseus.tufts.edu/hopper/text?doc=Perseus:text:1999.04.0059:entry=collimo">"collimo"</a>. <i>A Latin Dictionary</i>. Oxford; Medford: Clarendon Press; Perseus Digital Library.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=collimo&rft.btitle=A+Latin+Dictionary&rft.place=Oxford%3B+Medford&rft.pub=Clarendon+Press%3B+Perseus+Digital+Library&rft.date=2010&rft.aulast=Lewis&rft.aufirst=Charlton+T.&rft.au=Short%2C+Charles&rft_id=https%3A%2F%2Fwww.perseus.tufts.edu%2Fhopper%2Ftext%3Fdoc%3DPerseus%3Atext%3A1999.04.0059%3Aentry%3Dcollimo&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACollimated+beam" class="Z3988"></span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.worldoflasers.com/laserproperties.htm">"Properties of Lasers"</a>. <i>World of Lasers</i>. 2015<span class="reference-accessdate">. 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India: Pearson Education India. n.d. pp. 3–9. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9788131755938" title="Special:BookSources/9788131755938"><bdi>9788131755938</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Engineering+Physics+1%3A+For+WBUT&rft.place=India&rft.pages=3-9&rft.pub=Pearson+Education+India&rft.isbn=9788131755938&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACollimated+beam" class="Z3988"></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFTipler1992" class="citation book cs1">Tipler, Paul (1992). <i>Elementary Modern Physics</i>. MacMillan. p. 149. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9780879015695" title="Special:BookSources/9780879015695"><bdi>9780879015695</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Elementary+Modern+Physics&rft.pages=149&rft.pub=MacMillan&rft.date=1992&rft.isbn=9780879015695&rft.aulast=Tipler&rft.aufirst=Paul&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACollimated+beam" class="Z3988"></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFWinickDoniach2012" class="citation book cs1">Winick, Herman; Doniach, S (2012). <i>Synchrotron Radiation Research</i>. <a href="/wiki/Springer_Science_%26_Business_Media" class="mw-redirect" title="Springer Science & Business Media">Springer Science & Business Media</a>. p. 567. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9781461579984" title="Special:BookSources/9781461579984"><bdi>9781461579984</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Synchrotron+Radiation+Research&rft.pages=567&rft.pub=Springer+Science+%26+Business+Media&rft.date=2012&rft.isbn=9781461579984&rft.aulast=Winick&rft.aufirst=Herman&rft.au=Doniach%2C+S&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACollimated+beam" class="Z3988"></span></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMobilioBoscheriniMeneghini2014" class="citation book cs1">Mobilio, Settimio; Boscherini, Federico; Meneghini, Carlo (2014). <i>Synchrotron Radiation: Basics, Methods, and Applications</i>. Springer. p. 31. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9783642553158" title="Special:BookSources/9783642553158"><bdi>9783642553158</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Synchrotron+Radiation%3A+Basics%2C+Methods%2C+and+Applications&rft.pages=31&rft.pub=Springer&rft.date=2014&rft.isbn=9783642553158&rft.aulast=Mobilio&rft.aufirst=Settimio&rft.au=Boscherini%2C+Federico&rft.au=Meneghini%2C+Carlo&rfr_id=info%3Asid%2Fen.wikipedia.org%3ACollimated+beam" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Bibliography">Bibliography</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Collimated_beam&action=edit&section=10" title="Edit section: Bibliography"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Pfister, J. & Kneedler, J.A. (s.d.). 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