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Radio-frequency engineering - Wikipedia

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class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Radiotexnika" title="Radiotexnika – Azerbaijani" lang="az" hreflang="az" data-title="Radiotexnika" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%86%E0%A6%B0%E0%A6%8F%E0%A6%AB_%E0%A6%AA%E0%A7%8D%E0%A6%B0%E0%A6%95%E0%A7%8C%E0%A6%B6%E0%A6%B2" title="আরএফ প্রকৌশল – Bangla" lang="bn" hreflang="bn" data-title="আরএফ প্রকৌশল" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%A0%D0%B0%D0%B4%D0%B8%D0%BE%D1%82%D0%B5%D1%85%D0%BD%D0%B8%D0%BA%D0%B0" title="Радиотехника – Bashkir" lang="ba" hreflang="ba" data-title="Радиотехника" data-language-autonym="Башҡортса" data-language-local-name="Bashkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A0%D0%B0%D0%B4%D1%8B%D1%91%D1%82%D1%8D%D1%85%D0%BD%D1%96%D0%BA%D0%B0" title="Радыётэхніка – Belarusian" lang="be" hreflang="be" data-title="Радыётэхніка" data-language-autonym="Беларуская" data-language-local-name="Belarusian" 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%A0%D0%B0%D0%B4%D0%B8%D0%BE%D1%82%D0%B5%D1%85%D0%BD%D0%B8%D0%BA%D0%B0" title="Радиотехника – Bulgarian" lang="bg" hreflang="bg" data-title="Радиотехника" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Enginyeria_de_radiofreq%C3%BC%C3%A8ncia" title="Enginyeria de radiofreqüència – Catalan" lang="ca" hreflang="ca" data-title="Enginyeria de radiofreqüència" 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/Radiotechnika" title="Radiotechnika – Czech" lang="cs" hreflang="cs" data-title="Radiotechnika" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Hochfrequenztechnik" title="Hochfrequenztechnik – German" lang="de" hreflang="de" data-title="Hochfrequenztechnik" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Raadiotehnika" title="Raadiotehnika – Estonian" lang="et" hreflang="et" data-title="Raadiotehnika" data-language-autonym="Eesti" data-language-local-name="Estonian" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Ingenier%C3%ADa_de_radiofrecuencia" title="Ingeniería de radiofrecuencia – Spanish" lang="es" hreflang="es" data-title="Ingeniería de radiofrecuencia" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D9%87%D9%86%D8%AF%D8%B3%DB%8C_%D9%81%D8%B1%DA%A9%D8%A7%D9%86%D8%B3_%D8%B1%D8%A7%D8%AF%DB%8C%D9%88%DB%8C%DB%8C" title="مهندسی فرکانس رادیویی – Persian" lang="fa" hreflang="fa" data-title="مهندسی فرکانس رادیویی" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8C%D5%A1%D5%A4%D5%AB%D5%B8%D5%BF%D5%A5%D5%AD%D5%B6%D5%AB%D5%AF%D5%A1" title="Ռադիոտեխնիկա – Armenian" lang="hy" hreflang="hy" data-title="Ռադիոտեխնիկա" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Radiotecnica" title="Radiotecnica – Italian" lang="it" hreflang="it" data-title="Radiotecnica" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A0%D0%B0%D0%B4%D0%B8%D0%BE%D1%82%D0%B5%D1%85%D0%BD%D0%B8%D0%BA%D0%B0" title="Радиотехника – Kazakh" lang="kk" hreflang="kk" data-title="Радиотехника" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%A0%D0%B0%D0%B4%D0%B8%D0%BE%D1%82%D0%B5%D1%85%D0%BD%D0%B8%D0%BA%D0%B0" title="Радиотехника – Kyrgyz" lang="ky" hreflang="ky" data-title="Радиотехника" data-language-autonym="Кыргызча" data-language-local-name="Kyrgyz" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E9%9B%BB%E6%B3%A2%E5%B7%A5%E5%AD%A6" title="電波工学 – Japanese" lang="ja" hreflang="ja" data-title="電波工学" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Radiotexnika" title="Radiotexnika – Uzbek" lang="uz" hreflang="uz" data-title="Radiotexnika" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Radiotechnika" title="Radiotechnika – Polish" lang="pl" hreflang="pl" data-title="Radiotechnika" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A0%D0%B0%D0%B4%D0%B8%D0%BE%D1%82%D0%B5%D1%85%D0%BD%D0%B8%D0%BA%D0%B0" title="Радиотехника – Russian" lang="ru" hreflang="ru" data-title="Радиотехника" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Inxhinieria_e_radio_frekuencave" title="Inxhinieria e radio frekuencave – Albanian" lang="sq" hreflang="sq" data-title="Inxhinieria e radio frekuencave" data-language-autonym="Shqip" data-language-local-name="Albanian" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/R%C3%A1diotechnika" title="Rádiotechnika – Slovak" lang="sk" hreflang="sk" data-title="Rádiotechnika" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Radiotekniikka" title="Radiotekniikka – Finnish" lang="fi" 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href="/wiki/Outside_broadcasting" title="Outside broadcasting">Outside broadcast</a> radio-frequency engineer</li></ul> </td></tr><tr><th scope="row" class="infobox-label"><div style="display: inline-block; line-height: 1.2em; padding: .1em 0;">Occupation type</div></th><td class="infobox-data"><a href="/wiki/Profession" title="Profession">Profession</a></td></tr><tr><th colspan="2" class="infobox-header">Description</th></tr><tr><th scope="row" class="infobox-label">Competencies</th><td class="infobox-data">Technical knowledge, management skills</td></tr><tr><th scope="row" class="infobox-label"><div style="display: inline-block; line-height: 1.2em; padding: .1em 0;">Education required</div></th><td class="infobox-data"><a href="/wiki/Mathematics" title="Mathematics">Mathematics</a>, <a href="/wiki/Physics" title="Physics">physics</a>, <a href="/wiki/Electronics" title="Electronics">electronics</a>, <a href="/wiki/Information_technology" title="Information technology">information 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moment">Magnetic dipole</a></li> <li><a href="/wiki/Magnetic_field" title="Magnetic field">Magnetic field</a></li> <li><a href="/wiki/Magnetic_flux" title="Magnetic flux">Magnetic flux</a></li> <li><a href="/wiki/Magnetic_scalar_potential" title="Magnetic scalar potential">Magnetic scalar potential</a></li> <li><a href="/wiki/Magnetic_vector_potential" title="Magnetic vector potential">Magnetic vector potential</a></li> <li><a href="/wiki/Magnetization" title="Magnetization">Magnetization</a></li> <li><a href="/wiki/Permeability_(electromagnetism)" title="Permeability (electromagnetism)">Permeability</a></li> <li><a href="/wiki/Right-hand_rule#Electromagnetism" title="Right-hand rule">Right-hand rule</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:transparent;border-top:1px solid #aaa;text-align:center;;color: var(--color-base)"><a 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href="/wiki/Faraday%27s_law_of_induction" title="Faraday&#39;s law of induction">Faraday law</a></li> <li><a href="/wiki/Jefimenko%27s_equations" title="Jefimenko&#39;s equations">Jefimenko equations</a></li> <li><a href="/wiki/Larmor_formula" title="Larmor formula">Larmor formula</a></li> <li><a href="/wiki/Lenz%27s_law" title="Lenz&#39;s law">Lenz law</a></li> <li><a href="/wiki/Li%C3%A9nard%E2%80%93Wiechert_potential" title="Liénard–Wiechert potential">Liénard–Wiechert potential</a></li> <li><a href="/wiki/London_equations" title="London equations">London equations</a></li> <li><a href="/wiki/Lorentz_force" title="Lorentz force">Lorentz force</a></li> <li><a href="/wiki/Maxwell%27s_equations" title="Maxwell&#39;s equations">Maxwell equations</a></li> <li><a href="/wiki/Maxwell_stress_tensor" title="Maxwell stress tensor">Maxwell tensor</a></li> <li><a href="/wiki/Poynting_vector" title="Poynting vector">Poynting vector</a></li> <li><a href="/wiki/Synchrotron_radiation" title="Synchrotron radiation">Synchrotron radiation</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:transparent;border-top:1px solid #aaa;text-align:center;;color: var(--color-base)"><a href="/wiki/Electrical_network" title="Electrical network">Electrical network</a></div><div class="sidebar-list-content mw-collapsible-content hlist"> <ul><li><a href="/wiki/Alternating_current" title="Alternating current">Alternating current</a></li> <li><a href="/wiki/Capacitance" title="Capacitance">Capacitance</a></li> <li><a href="/wiki/Current_density" title="Current density">Current density</a></li> <li><a href="/wiki/Direct_current" title="Direct current">Direct current</a></li> <li><a href="/wiki/Electric_current" title="Electric current">Electric current</a></li> <li><a href="/wiki/Electric_power" title="Electric power">Electric power</a></li> <li><a href="/wiki/Electrolysis" title="Electrolysis">Electrolysis</a></li> <li><a href="/wiki/Electromotive_force" title="Electromotive force">Electromotive force</a></li> <li><a href="/wiki/Electrical_impedance" title="Electrical impedance">Impedance</a></li> <li><a href="/wiki/Inductance" title="Inductance">Inductance</a></li> <li><a href="/wiki/Joule_heating" title="Joule heating">Joule heating</a></li> <li><a href="/wiki/Kirchhoff%27s_circuit_laws" title="Kirchhoff&#39;s circuit laws">Kirchhoff laws</a></li> <li><a href="/wiki/Network_analysis_(electrical_circuits)" title="Network analysis (electrical circuits)">Network analysis</a></li> <li><a href="/wiki/Ohm%27s_law" title="Ohm&#39;s law">Ohm law</a></li> <li><a href="/wiki/Series_and_parallel_circuits#Parallel_circuits" title="Series and parallel circuits">Parallel circuit</a></li> <li><a href="/wiki/Electrical_resistance_and_conductance" title="Electrical resistance and conductance">Resistance</a></li> <li><a href="/wiki/Resonator#Electromagnetics" title="Resonator">Resonant cavities</a></li> <li><a href="/wiki/Series_and_parallel_circuits#Series_circuits" title="Series and parallel circuits">Series circuit</a></li> <li><a href="/wiki/Voltage" title="Voltage">Voltage</a></li> <li><a href="/wiki/Watt" title="Watt">Watt</a></li> <li><a href="/wiki/Waveguide_(radio_frequency)" title="Waveguide (radio frequency)">Waveguides</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:transparent;border-top:1px solid #aaa;text-align:center;;color: var(--color-base)"><a href="/wiki/Magnetic_circuit" title="Magnetic circuit">Magnetic circuit</a></div><div class="sidebar-list-content mw-collapsible-content hlist"> <ul><li><a href="/wiki/AC_motor" title="AC motor">AC motor</a></li> <li><a href="/wiki/DC_motor" title="DC motor">DC motor</a></li> <li><a href="/wiki/Electric_machine" title="Electric machine">Electric machine</a></li> <li><a href="/wiki/Electric_motor" title="Electric motor">Electric motor</a></li> <li><a href="/wiki/Gyrator%E2%80%93capacitor_model" title="Gyrator–capacitor model">Gyrator–capacitor</a></li> <li><a href="/wiki/Induction_motor" title="Induction motor">Induction motor</a></li> <li><a href="/wiki/Linear_motor" title="Linear motor">Linear motor</a></li> <li><a href="/wiki/Magnetomotive_force" title="Magnetomotive force">Magnetomotive force</a></li> <li><a href="/wiki/Permeance" title="Permeance">Permeance</a></li> <li><a href="/wiki/Magnetic_complex_reluctance" title="Magnetic complex reluctance">Reluctance (complex)</a></li> <li><a href="/wiki/Magnetic_reluctance" title="Magnetic reluctance">Reluctance (real)</a></li> <li><a href="/wiki/Rotor_(electric)" title="Rotor (electric)">Rotor</a></li> <li><a href="/wiki/Stator" title="Stator">Stator</a></li> <li><a href="/wiki/Transformer" title="Transformer">Transformer</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:transparent;border-top:1px solid #aaa;text-align:center;;color: var(--color-base)"><a href="/wiki/Covariant_formulation_of_classical_electromagnetism" title="Covariant formulation of classical electromagnetism">Covariant formulation</a></div><div class="sidebar-list-content mw-collapsible-content hlist"> <ul><li><a href="/wiki/Electromagnetic_tensor" title="Electromagnetic tensor">Electromagnetic tensor</a></li> <li><a href="/wiki/Classical_electromagnetism_and_special_relativity" title="Classical electromagnetism and special relativity">Electromagnetism and special relativity</a></li> <li><a href="/wiki/Four-current" title="Four-current">Four-current</a></li> <li><a href="/wiki/Electromagnetic_four-potential" title="Electromagnetic four-potential">Four-potential</a></li> <li><a href="/wiki/Mathematical_descriptions_of_the_electromagnetic_field" title="Mathematical descriptions of the electromagnetic field">Mathematical descriptions</a></li> <li><a href="/wiki/Maxwell%27s_equations_in_curved_spacetime" title="Maxwell&#39;s equations in curved spacetime">Maxwell equations in curved spacetime</a></li> <li><a href="/wiki/Relativistic_electromagnetism" title="Relativistic electromagnetism">Relativistic electromagnetism</a></li> <li><a href="/wiki/Electromagnetic_stress%E2%80%93energy_tensor" title="Electromagnetic stress–energy tensor">Stress–energy tensor</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content hlist"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="background:transparent;border-top:1px solid #aaa;text-align:center;;color: var(--color-base)">Scientists</div><div class="sidebar-list-content mw-collapsible-content hlist"> <ul><li><a href="/wiki/Andr%C3%A9-Marie_Amp%C3%A8re" title="André-Marie Ampère">Ampère</a></li> <li><a href="/wiki/Jean-Baptiste_Biot" title="Jean-Baptiste Biot">Biot</a></li> <li><a href="/wiki/Charles-Augustin_de_Coulomb" title="Charles-Augustin de Coulomb">Coulomb</a></li> <li><a href="/wiki/Humphry_Davy" title="Humphry Davy">Davy</a></li> <li><a href="/wiki/Albert_Einstein" title="Albert Einstein">Einstein</a></li> <li><a href="/wiki/Michael_Faraday" title="Michael Faraday">Faraday</a></li> <li><a href="/wiki/Hippolyte_Fizeau" title="Hippolyte Fizeau">Fizeau</a></li> <li><a href="/wiki/Carl_Friedrich_Gauss" title="Carl Friedrich Gauss">Gauss</a></li> <li><a href="/wiki/Oliver_Heaviside" title="Oliver Heaviside">Heaviside</a></li> <li><a href="/wiki/Hermann_von_Helmholtz" title="Hermann von Helmholtz">Helmholtz</a></li> <li><a href="/wiki/Joseph_Henry" title="Joseph Henry">Henry</a></li> <li><a href="/wiki/Heinrich_Hertz" title="Heinrich Hertz">Hertz</a></li> <li><a href="/wiki/John_Hopkinson" title="John Hopkinson">Hopkinson</a></li> <li><a href="/wiki/Oleg_D._Jefimenko" title="Oleg D. Jefimenko">Jefimenko</a></li> <li><a href="/wiki/James_Prescott_Joule" title="James Prescott Joule">Joule</a></li> <li><a href="/wiki/Lord_Kelvin" title="Lord Kelvin">Kelvin</a></li> <li><a href="/wiki/Gustav_Kirchhoff" title="Gustav Kirchhoff">Kirchhoff</a></li> <li><a href="/wiki/Joseph_Larmor" title="Joseph Larmor">Larmor</a></li> <li><a href="/wiki/Emil_Lenz" title="Emil Lenz">Lenz</a></li> <li><a href="/wiki/Alfred-Marie_Li%C3%A9nard" title="Alfred-Marie Liénard">Liénard</a></li> <li><a href="/wiki/Hendrik_Lorentz" title="Hendrik Lorentz">Lorentz</a></li> <li><a href="/wiki/James_Clerk_Maxwell" title="James Clerk Maxwell">Maxwell</a></li> <li><a href="/wiki/Franz_Ernst_Neumann" title="Franz Ernst Neumann">Neumann</a></li> <li><a href="/wiki/Georg_Ohm" title="Georg Ohm">Ohm</a></li> <li><a href="/wiki/Hans_Christian_%C3%98rsted" title="Hans Christian Ørsted">Ørsted</a></li> <li><a href="/wiki/Sim%C3%A9on_Denis_Poisson" title="Siméon Denis Poisson">Poisson</a></li> <li><a href="/wiki/John_Henry_Poynting" title="John Henry Poynting">Poynting</a></li> <li><a href="/wiki/William_Ritchie_(physicist)" title="William Ritchie (physicist)">Ritchie</a></li> <li><a href="/wiki/F%C3%A9lix_Savart" title="Félix Savart">Savart</a></li> <li><a href="/wiki/George_Singer" title="George Singer">Singer</a></li> <li><a href="/wiki/Charles_Proteus_Steinmetz" title="Charles Proteus Steinmetz">Steinmetz</a></li> <li><a href="/wiki/Nikola_Tesla" title="Nikola Tesla">Tesla</a></li> <li><a href="/wiki/J._J._Thomson" title="J. J. Thomson">Thomson</a></li> <li><a href="/wiki/Alessandro_Volta" title="Alessandro Volta">Volta</a></li> <li><a href="/wiki/Wilhelm_Eduard_Weber" title="Wilhelm Eduard Weber">Weber</a></li> <li><a href="/wiki/Emil_Wiechert" title="Emil Wiechert">Wiechert</a></li></ul></div></div></td> </tr><tr><td class="sidebar-navbar"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1239400231">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Electromagnetism" title="Template:Electromagnetism"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Electromagnetism" title="Template talk:Electromagnetism"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Electromagnetism" title="Special:EditPage/Template:Electromagnetism"><abbr title="Edit this template">e</abbr></a></li></ul></div></td></tr></tbody></table> <p><b>Radio-frequency (RF) engineering</b> is a subset of <a href="/wiki/Electrical_engineering" title="Electrical engineering">electrical engineering</a> involving the application of <a href="/wiki/Transmission_line" title="Transmission line">transmission line</a>, <a href="/wiki/Waveguide_(electromagnetism)" class="mw-redirect" title="Waveguide (electromagnetism)">waveguide</a>, <a href="/wiki/Antenna_(radio)" title="Antenna (radio)">antenna</a>, <a href="/wiki/Radar" title="Radar">radar</a>, and <a href="/wiki/Electromagnetic_radiation" title="Electromagnetic radiation">electromagnetic field</a> principles to the design and application of devices that produce or use signals within the <a href="/wiki/Radio_band" class="mw-redirect" title="Radio band">radio band</a>, the frequency range of about 20&#160;<a href="/wiki/Hertz#SI_multiples" title="Hertz">kHz</a> up to 300&#160;<a href="/wiki/Hertz#SI_multiples" title="Hertz">GHz</a>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-TM11-665_3-0" class="reference"><a href="#cite_note-TM11-665-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> </p><p>It is incorporated into almost everything that transmits or receives a <a href="/wiki/Radio_wave" title="Radio wave">radio wave</a>, which includes, but is not limited to, mobile phones, radios, <a href="/wiki/Wi-Fi" title="Wi-Fi">Wi-Fi</a>, and two-way radios. RF engineering is a highly specialized field that typically includes the following areas of expertise: </p> <ol><li>Design of antenna systems to provide radiative coverage of a specified geographical area by an electromagnetic field or to provide specified sensitivity to an electromagnetic field impinging on the antenna.</li> <li>Design of coupling and transmission line structures to transport RF energy without radiation.</li> <li>Application of circuit elements and transmission line structures in the design of oscillators, amplifiers, mixers, detectors, combiners, filters, impedance transforming networks and other devices.</li> <li>Verification and measurement of performance of radio frequency devices and systems.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup></li></ol> <p>To produce quality results, the RF engineer needs to have an in-depth knowledge of <a href="/wiki/Mathematics" title="Mathematics">mathematics</a>, <a href="/wiki/Physics" title="Physics">physics</a> and general <a href="/wiki/Electronics" title="Electronics">electronics</a> theory as well as specialized training in areas such as wave propagation, impedance transformations, filters and microstrip printed circuit board design.<sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">&#91;<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="This claim needs references to reliable sources. (March 2021)">citation needed</span></a></i>&#93;</sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Radio_electronics">Radio electronics</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Radio-frequency_engineering&amp;action=edit&amp;section=1" title="Edit section: Radio electronics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><i>Radio electronics</i> is concerned with <a href="/wiki/Electronics" title="Electronics">electronic</a> <a href="/wiki/Electrical_network" title="Electrical network">circuits</a> which receive or transmit <a href="/wiki/Radio" title="Radio">radio</a> signals. </p><p>Typically, such circuits must operate at <a href="/wiki/Radio_frequency" title="Radio frequency">radio frequency</a> and power levels, which imposes special constraints on their design. These constraints increase in their importance with higher frequencies. At <a href="/wiki/Microwave" title="Microwave">microwave</a> frequencies, the <a href="/wiki/Reactance_(electronics)" class="mw-redirect" title="Reactance (electronics)">reactance</a> of <a href="/wiki/Signal_trace" title="Signal trace">signal traces</a> becomes a crucial part of the physical layout of the circuit. </p><p>List of radio electronics topics: </p> <ul><li><a href="/wiki/Radio_frequency" title="Radio frequency">RF</a> <a href="/wiki/Oscillator" class="mw-redirect" title="Oscillator">oscillators</a>: <a href="/wiki/Phase-locked_loop" title="Phase-locked loop">Phase-locked loop</a>, <a href="/wiki/Voltage-controlled_oscillator" title="Voltage-controlled oscillator">voltage-controlled oscillator</a></li> <li><a href="/wiki/Transmitter" title="Transmitter">Transmitters</a>, <a href="/wiki/Transmission_line" title="Transmission line">transmission lines</a>, <a href="/wiki/Antenna_tuner" title="Antenna tuner">transmission line tuners</a>, <a href="/wiki/RF_connector" title="RF connector">RF connectors</a></li> <li><a href="/wiki/Antenna_(electronics)" class="mw-redirect" title="Antenna (electronics)">Antennas</a>, <a href="/wiki/Antenna_theory" class="mw-redirect" title="Antenna theory">antenna theory</a></li> <li><a href="/wiki/Radio_receiver" title="Radio receiver">Receivers</a>, <a href="/wiki/Tuner_(radio)" title="Tuner (radio)">tuners</a></li> <li><a href="/wiki/Electronic_amplifier" class="mw-redirect" title="Electronic amplifier">Amplifiers</a></li> <li><a href="/wiki/Modulator" class="mw-redirect" title="Modulator">Modulators</a>, <a href="/wiki/Demodulator" class="mw-redirect" title="Demodulator">demodulators</a>, <a href="/wiki/Detector_(radio)" title="Detector (radio)">detectors</a></li> <li><a href="/wiki/RF_and_microwave_filter" title="RF and microwave filter">RF filters</a></li> <li><a href="/wiki/RF_shielding" class="mw-redirect" title="RF shielding">RF shielding</a>, <a href="/wiki/Ground_plane" title="Ground plane">ground plane</a></li> <li><a href="/wiki/Direct-sequence_spread_spectrum" title="Direct-sequence spread spectrum">Direct-sequence spread spectrum</a> (DSSS), <a href="/wiki/Noise_power" title="Noise power">noise power</a></li> <li><a href="/wiki/Digital_radio" title="Digital radio">Digital radio</a></li> <li><a href="/wiki/RF_power_amplifier" title="RF power amplifier">RF power amplifiers</a> <ul><li><a href="/wiki/MOSFET" title="MOSFET">Metal–oxide–semiconductor field-effect transistor (MOSFET)s</a>: <a href="/wiki/Power_MOSFET" title="Power MOSFET">Power MOSFET</a>, <a href="/wiki/LDMOS" title="LDMOS">Laterally-diffused metal-oxide semiconductor (LDMOS)</a></li> <li><a href="/wiki/Bipolar_junction_transistors" class="mw-redirect" title="Bipolar junction transistors">Bipolar junction transistors</a></li></ul></li> <li><a href="/wiki/Baseband_processor" title="Baseband processor">Baseband processors</a> (<a href="/wiki/CMOS" title="CMOS">Complementary metal–oxide–semiconductor (CMOS)</a>)</li> <li><a href="/wiki/RF_CMOS" title="RF CMOS">RF CMOS</a> (<a href="/wiki/Mixed-signal" class="mw-redirect" title="Mixed-signal">mixed-signal</a> <a href="/wiki/Integrated_circuits" class="mw-redirect" title="Integrated circuits">integrated circuits</a>)</li></ul> <div class="mw-heading mw-heading2"><h2 id="Duties">Duties</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Radio-frequency_engineering&amp;action=edit&amp;section=2" title="Edit section: Duties"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure typeof="mw:File/Thumb"><a href="/wiki/File:Felder_um_Dipol.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/da/Felder_um_Dipol.jpg/260px-Felder_um_Dipol.jpg" decoding="async" width="260" height="212" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/da/Felder_um_Dipol.jpg/390px-Felder_um_Dipol.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/da/Felder_um_Dipol.jpg/520px-Felder_um_Dipol.jpg 2x" data-file-width="600" data-file-height="490" /></a><figcaption>Diagram of the <a href="/wiki/Electric_field" title="Electric field">electric fields</a> <i><span style="color:blue;">(blue)</span></i> and <a href="/wiki/Magnetic_field" title="Magnetic field">magnetic fields</a> <i><span style="color:red;">(red)</span></i> radiated by a <a href="/wiki/Dipole_antenna" title="Dipole antenna">dipole antenna</a> <i>(black rods)</i> during transmission.</figcaption></figure> <p>Radio-frequency engineers are specialists in their respective field and can take on many different roles, such as design, installation, and maintenance. Radio-frequency engineers require many years of extensive experience in the area of study. This type of engineer has experience with transmission systems, device design, and placement of antennas for optimum performance. The RF engineer job description at a broadcast facility can include maintenance of the station's high-power broadcast transmitters and associated systems. This includes transmitter site emergency power, remote control, main transmission line and <a href="/wiki/Antenna_(radio)" title="Antenna (radio)">antenna</a> adjustments, <a href="/wiki/Microwave_radio_relay" class="mw-redirect" title="Microwave radio relay">microwave radio relay</a> <a href="/wiki/Studio/transmitter_link" class="mw-redirect" title="Studio/transmitter link">STL</a>/<a href="/wiki/Transmitter/studio_link" class="mw-redirect" title="Transmitter/studio link">TSL</a> links, and more. </p><p>In addition, a radio-frequency design engineer must be able to understand electronic hardware design, circuit board material, antenna radiation, and the effect of interfering frequencies that prevent optimum performance within the piece of equipment being developed. </p> <div class="mw-heading mw-heading2"><h2 id="Mathematics">Mathematics</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Radio-frequency_engineering&amp;action=edit&amp;section=3" title="Edit section: Mathematics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>There are many applications of <a href="/wiki/Electrodynamics" class="mw-redirect" title="Electrodynamics">electromagnetic theory</a> to radio-frequency engineering, using conceptual tools such as <a href="/wiki/Vector_calculus" title="Vector calculus">vector calculus</a> and <a href="/wiki/Complex_analysis" title="Complex analysis">complex analysis</a>.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> Topics studied in this area include <a href="/wiki/Waveguide_(electromagnetism)" class="mw-redirect" title="Waveguide (electromagnetism)">waveguides</a> and <a href="/wiki/Transmission_line" title="Transmission line">transmission lines</a>, the behavior of <a href="/wiki/Antenna_(radio)" title="Antenna (radio)">radio antennas</a>, and the <a href="/wiki/Radio_propagation" title="Radio propagation">propagation of radio waves</a> through the Earth's atmosphere. Historically, the subject played a significant role in the development of <a href="/wiki/Nonlinear_dynamics" class="mw-redirect" title="Nonlinear dynamics">nonlinear dynamics</a>.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup> </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=Radio-frequency_engineering&amp;action=edit&amp;section=4" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1259569809">.mw-parser-output .portalbox{padding:0;margin:0.5em 0;display:table;box-sizing:border-box;max-width:175px;list-style:none}.mw-parser-output .portalborder{border:1px solid 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(software)</a></li> <li><a href="/wiki/List_of_textbooks_in_electromagnetism" title="List of textbooks in electromagnetism">List of textbooks in electromagnetism</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=Radio-frequency_engineering&amp;action=edit&amp;section=5" 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">A. A. Ghirardi, <i>Radio Physics Course</i>, 2nd ed. New York: Rinehart Books, 1932, p. 249</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"><a rel="nofollow" class="external text" href="https://archive.org/stream/principlesunderl00unitrich#page/190/mode/2up">Signal Corps U.S. Army, <i>The Principles Underlying Radio Communication</i>, 2nd ed. Washington, DC: U.S.G.P.O., 1922, p. 191</a></span> </li> <li id="cite_note-TM11-665-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-TM11-665_3-0">^</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"><a rel="nofollow" class="external text" href="https://books.google.com/books?id=f9QXAAAAYAAJ&amp;pg=PA2"><i>Technical Manual TM 11-665: C-W and A-M Radio Transmitters and Receivers</i></a>. Dept. of the Army, US Government Printing Office. 1952. p.&#160;2.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Technical+Manual+TM+11-665%3A+C-W+and+A-M+Radio+Transmitters+and+Receivers&amp;rft.pages=2&amp;rft.pub=Dept.+of+the+Army%2C+US+Government+Printing+Office&amp;rft.date=1952&amp;rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3Df9QXAAAAYAAJ%26pg%3DPA2&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ARadio-frequency+engineering" 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://ranatec.com/how-to-measure-requirement-for-rf-equipments/">"How to Measure Requirement for RF Equipments"</a>. 30 January 2018.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=How+to+Measure+Requirement+for+RF+Equipments&amp;rft.date=2018-01-30&amp;rft_id=http%3A%2F%2Franatec.com%2Fhow-to-measure-requirement-for-rf-equipments%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ARadio-frequency+engineering" class="Z3988"></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBlaunsteinChristodoulouSergeev2016" class="citation book cs1">Blaunstein, Nathan; Christodoulou, Christos; Sergeev, Mikhail (2016-10-14). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=kIeKDQAAQBAJ"><i>Introduction to Radio Engineering</i></a>. <a href="/wiki/CRC_Press" title="CRC Press">CRC Press</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/9781315350080" title="Special:BookSources/9781315350080"><bdi>9781315350080</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Introduction+to+Radio+Engineering&amp;rft.pub=CRC+Press&amp;rft.date=2016-10-14&amp;rft.isbn=9781315350080&amp;rft.aulast=Blaunstein&amp;rft.aufirst=Nathan&amp;rft.au=Christodoulou%2C+Christos&amp;rft.au=Sergeev%2C+Mikhail&amp;rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DkIeKDQAAQBAJ&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ARadio-frequency+engineering" class="Z3988"></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRäisänenLehto2003" class="citation book cs1">Räisänen, Antti V.; Lehto, Arto (2003). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=m8Dgkvf84xoC"><i>Radio Engineering for Wireless Communication and Sensor Applications</i></a>. <a href="/wiki/Artech_House" title="Artech House">Artech House</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/9781580536691" title="Special:BookSources/9781580536691"><bdi>9781580536691</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Radio+Engineering+for+Wireless+Communication+and+Sensor+Applications&amp;rft.pub=Artech+House&amp;rft.date=2003&amp;rft.isbn=9781580536691&amp;rft.aulast=R%C3%A4is%C3%A4nen&amp;rft.aufirst=Antti+V.&amp;rft.au=Lehto%2C+Arto&amp;rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3Dm8Dgkvf84xoC&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ARadio-frequency+engineering" 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="CITEREFIsrael2004" class="citation book cs1">Israel, Giorgio (2004). "Technological Innovation and New Mathematics: van der Pol and the Birth of Nonlinear Dynamics". <a rel="nofollow" class="external text" href="https://sites.google.com/site/giorgioisrael/Art92.pdf"><i>Technological Concepts and Mathematical Models in the Evolution of Modern Engineering Systems</i></a> <span class="cs1-format">(PDF)</span>. <a href="/wiki/Birkh%C3%A4user" title="Birkhäuser">Birkhäuser</a>, Basel. pp.&#160;52–77. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1007%2F978-3-0348-7951-4_3">10.1007/978-3-0348-7951-4_3</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/9783034896337" title="Special:BookSources/9783034896337"><bdi>9783034896337</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.atitle=Technological+Innovation+and+New+Mathematics%3A+van+der+Pol+and+the+Birth+of+Nonlinear+Dynamics&amp;rft.btitle=Technological+Concepts+and+Mathematical+Models+in+the+Evolution+of+Modern+Engineering+Systems&amp;rft.pages=52-77&amp;rft.pub=Birkh%C3%A4user%2C+Basel&amp;rft.date=2004&amp;rft_id=info%3Adoi%2F10.1007%2F978-3-0348-7951-4_3&amp;rft.isbn=9783034896337&amp;rft.aulast=Israel&amp;rft.aufirst=Giorgio&amp;rft_id=https%3A%2F%2Fsites.google.com%2Fsite%2Fgiorgioisrael%2FArt92.pdf&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ARadio-frequency+engineering" class="Z3988"></span></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Radio-frequency_engineering&amp;action=edit&amp;section=6" title="Edit section: External 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href="/wiki/Analogue_electronics" title="Analogue electronics">Analogue electronics</a></li> <li><a href="/wiki/Digital_electronics" title="Digital electronics">Digital electronics</a></li> <li><a href="/wiki/Electronic_engineering" title="Electronic engineering">Electronic engineering</a></li> <li><a href="/wiki/Instrumentation" title="Instrumentation">Instrumentation</a></li> <li><a href="/wiki/Microelectronics" title="Microelectronics">Microelectronics</a></li> <li><a href="/wiki/Optoelectronics" title="Optoelectronics">Optoelectronics</a></li> <li><a href="/wiki/Power_electronics" title="Power electronics">Power electronics</a></li> <li><a href="/wiki/Printed_electronics" title="Printed electronics">Printed electronics</a></li> <li><a href="/wiki/Semiconductor" title="Semiconductor">Semiconductor</a></li> <li><a href="/wiki/Schematic_capture" title="Schematic capture">Schematic capture</a></li> <li><a href="/wiki/Thermal_management_(electronics)" title="Thermal management (electronics)">Thermal management</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Advanced<br />topics</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Timeline_of_computing_2020%E2%80%93present" title="Timeline of computing 2020–present">2020s in computing</a></li> <li><a href="/wiki/Atomtronics" title="Atomtronics">Atomtronics</a></li> <li><a href="/wiki/Bioelectronics" title="Bioelectronics">Bioelectronics</a></li> <li><a href="/wiki/List_of_emerging_technologies#Electronics" title="List of emerging technologies">List of emerging electronics</a></li> <li><a href="/wiki/Failure_of_electronic_components" title="Failure of electronic components">Failure of electronic components</a></li> <li><a href="/wiki/Flexible_electronics" title="Flexible electronics">Flexible electronics</a></li> <li><a href="/wiki/Low-power_electronics" title="Low-power electronics">Low-power electronics</a></li> <li><a href="/wiki/Molecular_electronics" title="Molecular electronics">Molecular electronics</a></li> <li><a href="/wiki/Nanoelectronics" title="Nanoelectronics">Nanoelectronics</a></li> <li><a href="/wiki/Organic_electronics" title="Organic electronics">Organic electronics</a></li> <li><a href="/wiki/Photonics" title="Photonics">Photonics</a></li> <li><a href="/wiki/Piezotronics" title="Piezotronics">Piezotronics</a></li> <li><a href="/wiki/Quantum_electronics" class="mw-redirect" title="Quantum electronics">Quantum electronics</a></li> <li><a href="/wiki/Spintronics" title="Spintronics">Spintronics</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Electronic<br />equipment</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Air_conditioning" title="Air conditioning">Air conditioner</a></li> <li><a href="/wiki/Central_heating" title="Central heating">Central heating</a></li> <li><a href="/wiki/Clothes_dryer" title="Clothes dryer">Clothes dryer</a></li> <li><a href="/wiki/Computer" title="Computer">Computer</a>/<a href="/wiki/Laptop" title="Laptop">Notebook</a></li> <li><a href="/wiki/Digital_camera" title="Digital camera">Camera</a></li> <li><a href="/wiki/Dishwasher" title="Dishwasher">Dishwasher</a></li> <li><a href="/wiki/Freezer" class="mw-redirect" title="Freezer">Freezer</a></li> <li><a href="/wiki/Domestic_robot" title="Domestic robot">Home robot</a></li> <li><a href="/wiki/Home_cinema" title="Home cinema">Home cinema</a></li> <li><a href="/wiki/Home_theater_PC" title="Home theater PC">Home theater PC</a></li> <li><a href="/wiki/Information_technology" title="Information technology">Information technology</a></li> <li><a href="/wiki/Kitchen_stove" title="Kitchen stove">Cooker</a></li> <li><a href="/wiki/Microwave_oven" title="Microwave oven">Microwave oven</a></li> <li><a href="/wiki/Mobile_phone" title="Mobile phone">Mobile phone</a></li> <li><a href="/wiki/Networking_hardware" title="Networking hardware">Networking hardware</a></li> <li><a href="/wiki/Portable_media_player" title="Portable media player">Portable media player</a></li> <li><a href="/wiki/Radio_receiver" title="Radio receiver">Radio</a></li> <li><a href="/wiki/Refrigerator" title="Refrigerator">Refrigerator</a></li> <li><a href="/wiki/Robotic_vacuum_cleaner" title="Robotic vacuum cleaner">Robotic vacuum cleaner</a></li> <li><a href="/wiki/Tablet_computer" title="Tablet computer">Tablet</a></li> <li><a href="/wiki/Telephone" title="Telephone">Telephone</a></li> <li><a href="/wiki/Television" title="Television">Television</a></li> <li><a href="/wiki/Tankless_water_heating" title="Tankless water heating">Water heater</a></li> <li><a href="/wiki/Video_game_console" title="Video game console">Video game console</a></li> <li><a href="/wiki/Washing_machine" title="Washing machine">Washing machine</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Applications</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Audio_equipment" title="Audio equipment">Audio equipment</a></li> <li><a href="/wiki/Automotive_electronics" title="Automotive electronics">Automotive electronics</a></li> <li><a href="/wiki/Avionics" title="Avionics">Avionics</a></li> <li><a href="/wiki/Control_system" title="Control system">Control system</a></li> <li><a href="/wiki/Data_acquisition" title="Data acquisition">Data acquisition</a></li> <li><a href="/wiki/Ebook" title="Ebook">e-book</a></li> <li><a href="/wiki/EHealth" title="EHealth">e-health</a></li> <li><a href="/wiki/Electromagnetic_warfare" class="mw-redirect" title="Electromagnetic warfare">Electromagnetic warfare</a></li> <li><a href="/wiki/Electronics_industry" title="Electronics industry">Electronics industry</a></li> <li><a href="/wiki/Embedded_system" title="Embedded system">Embedded system</a></li> <li><a href="/wiki/Home_appliance" title="Home appliance">Home appliance</a></li> <li><a href="/wiki/Home_automation" title="Home automation">Home automation</a></li> <li><a href="/wiki/Integrated_circuit" title="Integrated circuit">Integrated circuit</a></li> <li><a href="/wiki/Home_appliance" title="Home appliance">Home appliance</a> <ul><li><a href="/wiki/Consumer_electronics" title="Consumer electronics">Consumer electronics</a></li> <li><a href="/wiki/Major_appliance" title="Major appliance">Major appliance</a></li> <li><a href="/wiki/Small_appliance" title="Small appliance">Small appliance</a></li></ul></li> <li><a href="/wiki/Marine_electronics" title="Marine electronics">Marine electronics</a></li> <li><a href="/wiki/Microwave" title="Microwave">Microwave</a> technology</li> <li><a href="/wiki/Military" title="Military">Military</a> electronics</li> <li><a href="/wiki/Multimedia" title="Multimedia">Multimedia</a></li> <li><a href="/wiki/Nuclear_electronics" title="Nuclear electronics">Nuclear electronics</a></li> <li><a href="/wiki/Open-source_hardware" title="Open-source hardware">Open-source hardware</a></li> <li><a href="/wiki/Radar" title="Radar">Radar</a> and <a href="/wiki/Radio_navigation" title="Radio navigation">Radio navigation</a></li> <li><a class="mw-selflink selflink">Radio electronics</a></li> <li><a href="/wiki/Terahertz_radiation" title="Terahertz radiation">Terahertz technology</a></li> <li><a href="/wiki/Wire" title="Wire">Wired</a> and <a href="/wiki/Wireless" title="Wireless">Wireless</a> Communications</li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Engineering" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="3"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Engineering_fields" title="Template:Engineering fields"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Engineering_fields" title="Template talk:Engineering fields"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Engineering_fields" title="Special:EditPage/Template:Engineering fields"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Engineering" style="font-size:114%;margin:0 4em"><a href="/wiki/Engineering" title="Engineering">Engineering</a></div></th></tr><tr><td class="navbox-abovebelow" colspan="3"><div> <ul><li><a href="/wiki/History_of_engineering" title="History of engineering">History</a></li> <li><a href="/wiki/Outline_of_engineering" title="Outline of engineering">Outline</a></li> <li><a href="/wiki/List_of_engineering_branches" title="List of engineering branches">List of engineering branches</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Specialties<br />and<br /><a href="/wiki/Interdisciplinarity" title="Interdisciplinarity">Interdisciplinarity</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Civil_engineering" title="Civil engineering">Civil</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Architectural_engineering" title="Architectural engineering">Architectural</a></li> <li><a href="/wiki/Coastal_engineering" title="Coastal engineering">Coastal</a></li> <li><a href="/wiki/Construction_engineering" title="Construction engineering">Construction</a></li> <li><a href="/wiki/Earthquake_engineering" title="Earthquake engineering">Earthquake</a></li> <li><a href="/wiki/Ecological_engineering" title="Ecological engineering">Ecological</a></li> <li><a href="/wiki/Environmental_engineering" title="Environmental engineering">Environmental</a> <ul><li><a href="/wiki/Sanitary_engineering" title="Sanitary engineering">Sanitary</a></li></ul></li> <li><a href="/wiki/Geological_engineering" title="Geological engineering">Geological</a></li> <li><a href="/wiki/Geotechnical_engineering" title="Geotechnical engineering">Geotechnical</a></li> <li><a href="/wiki/Hydraulic_engineering" title="Hydraulic engineering">Hydraulic</a></li> <li><a href="/wiki/Mining_engineering" title="Mining engineering">Mining</a></li> <li><a href="/wiki/Municipal_or_urban_engineering" title="Municipal or urban engineering">Municipal/Urban</a></li> <li><a href="/wiki/Offshore_engineering" class="mw-redirect" title="Offshore engineering">Offshore</a></li> <li><a href="/wiki/River_engineering" title="River engineering">River</a></li> <li><a href="/wiki/Structural_engineering" title="Structural engineering">Structural</a></li> <li><a href="/wiki/Transportation_engineering" title="Transportation engineering">Transportation</a> <ul><li><a href="/wiki/Traffic_engineering_(transportation)" title="Traffic engineering (transportation)">Traffic</a></li> <li><a href="/wiki/Railway_engineering" title="Railway engineering">Railway</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Mechanical_engineering" title="Mechanical engineering">Mechanical</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Acoustical_engineering" title="Acoustical engineering">Acoustic</a></li> <li><a href="/wiki/Aerospace_engineering" title="Aerospace engineering">Aerospace</a></li> <li><a href="/wiki/Automotive_engineering" title="Automotive engineering">Automotive</a></li> <li><a href="/wiki/Biomechanical_engineering" title="Biomechanical engineering">Biomechanical</a></li> <li><a href="/wiki/Energy_engineering" title="Energy engineering">Energy</a></li> <li><a href="/wiki/Manufacturing_engineering" title="Manufacturing engineering">Manufacturing</a></li> <li><a href="/wiki/Marine_engineering" title="Marine engineering">Marine</a></li> <li><a href="/wiki/Naval_architecture" title="Naval architecture">Naval architecture</a></li> <li><a href="/wiki/Railway_engineering" title="Railway engineering">Railway</a></li> <li><a href="/wiki/Sports_engineering" title="Sports engineering">Sports</a></li> <li><a href="/wiki/Thermal_engineering" title="Thermal engineering">Thermal</a></li> <li><a href="/wiki/Tribology" title="Tribology">Tribology</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Electrical_engineering" title="Electrical engineering">Electrical</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Broadcast_engineering" title="Broadcast engineering">Broadcast</a> <ul><li><a href="/wiki/Outline_of_computer_engineering" title="Outline of computer engineering">outline</a></li></ul></li> <li><a href="/wiki/Control_engineering" title="Control engineering">Control</a></li> <li><a href="/wiki/Electromechanics" title="Electromechanics">Electromechanics</a></li> <li><a href="/wiki/Electronic_engineering" title="Electronic engineering">Electronics</a></li> <li><a href="/wiki/Microwave_engineering" title="Microwave engineering">Microwaves</a></li> <li><a href="/wiki/Optical_engineering" title="Optical engineering">Optical</a></li> <li><a href="/wiki/Power_engineering" title="Power engineering">Power</a></li> <li><a class="mw-selflink selflink">Radio frequency</a></li> <li><a href="/wiki/Signal_processing" title="Signal processing">Signal processing</a></li> <li><a href="/wiki/Telecommunications_engineering" title="Telecommunications engineering">Telecommunications</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Chemical_engineering" title="Chemical engineering">Chemical</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Biochemical_engineering" title="Biochemical engineering">Biochemical/Bioprocess</a></li> <li><a href="/wiki/Biological_engineering" title="Biological engineering">Biological</a> <ul><li><a href="/wiki/Bioresource_engineering" title="Bioresource engineering">Bioresource</a></li> <li><a href="/wiki/Genetic_engineering" title="Genetic engineering">Genetic</a></li> <li><a href="/wiki/Tissue_engineering" title="Tissue engineering">Tissue</a></li></ul></li> <li><a href="/wiki/Chemical_reaction_engineering" title="Chemical reaction engineering">Chemical reaction</a></li> <li><a href="/wiki/Electrochemical_engineering" title="Electrochemical engineering">Electrochemical</a></li> <li><a href="/wiki/Food_engineering" title="Food engineering">Food</a></li> <li><a href="/wiki/Molecular_engineering" title="Molecular engineering">Molecular</a></li> <li><a href="/wiki/Paper_engineering" title="Paper engineering">Paper</a></li> <li><a href="/wiki/Petroleum_engineering" title="Petroleum engineering">Petroleum</a></li> <li><a href="/wiki/Process_engineering" title="Process engineering">Process</a></li> <li><a href="/wiki/Chemical_reaction_engineering" title="Chemical reaction engineering">Reaction</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Materials_science" title="Materials science">Materials</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Biomaterial" title="Biomaterial">Biomaterial</a></li> <li><a href="/wiki/Ceramic_engineering" title="Ceramic engineering">Ceramics</a></li> <li><a href="/wiki/Corrosion_engineering" title="Corrosion engineering">Corrosion</a></li> <li><a href="/wiki/Metallurgy" title="Metallurgy">Metallurgy</a></li> <li><a href="/wiki/Molecular_engineering" title="Molecular engineering">Molecular</a></li> <li><a href="/wiki/Nanotechnology" title="Nanotechnology">Nanotechnology</a></li> <li><a href="/wiki/Polymer_engineering" title="Polymer engineering">Polymers</a></li> <li><a href="/wiki/Semiconductor_device" title="Semiconductor device">Semiconductors</a></li> <li><a href="/wiki/Surface_engineering" title="Surface engineering">Surfaces</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Computer_engineering" title="Computer engineering">Computer</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Artificial_intelligence_engineering" title="Artificial intelligence engineering">AI</a></li> <li><a href="/wiki/Computer_engineering" title="Computer engineering">Computer</a></li> <li><a href="/wiki/Cybersecurity_engineering" title="Cybersecurity engineering">Cybersecurity</a></li> <li><a href="/wiki/Data_engineering" title="Data engineering">Data</a></li> <li><a href="/wiki/Computer_network_engineering" title="Computer network engineering">Networks</a></li> <li><a href="/wiki/Robotics_engineering" title="Robotics engineering">Robotics</a></li> <li><a href="/wiki/Software_engineering" title="Software engineering">Software</a></li></ul> </div></td></tr></tbody></table><div></div></td><td class="noviewer navbox-image" rowspan="5" style="width:1px;padding:0 0 0 2px"><div><span typeof="mw:File"><a href="/wiki/File:Nuvola_apps_kcmsystem.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/Nuvola_apps_kcmsystem.png/50px-Nuvola_apps_kcmsystem.png" decoding="async" width="50" height="50" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/Nuvola_apps_kcmsystem.png/75px-Nuvola_apps_kcmsystem.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/35/Nuvola_apps_kcmsystem.png/100px-Nuvola_apps_kcmsystem.png 2x" data-file-width="128" data-file-height="128" /></a></span></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Engineering_education" title="Engineering education">Engineering education</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bachelor_of_Engineering" title="Bachelor of Engineering">Bachelor of Engineering</a></li> <li><a href="/wiki/Bachelor_of_Science" title="Bachelor of Science">Bachelor of Science</a></li> <li><a href="/wiki/Master%27s_degree" title="Master&#39;s degree">Master's degree</a></li> <li><a href="/wiki/Doctorate" title="Doctorate">Doctorate</a></li> <li><a href="/wiki/Graduate_certificate" title="Graduate certificate">Graduate certificate</a></li> <li><a href="/wiki/Engineer%27s_degree" title="Engineer&#39;s degree">Engineer's degree</a></li> <li><a href="/wiki/Regulation_and_licensure_in_engineering" title="Regulation and licensure in engineering">Licensed engineer</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related topics</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Engineer" title="Engineer">Engineer</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Glossary" title="Glossary">Glossaries</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li>Engineering <ul><li><a href="/wiki/Glossary_of_engineering:_A%E2%80%93L" title="Glossary of engineering: A–L">A–L</a></li> <li><a href="/wiki/Glossary_of_engineering:_M%E2%80%93Z" title="Glossary of engineering: M–Z">M–Z</a></li></ul></li> <li><a href="/wiki/Glossary_of_aerospace_engineering" title="Glossary of aerospace engineering">Aerospace engineering</a></li> <li><a href="/wiki/Glossary_of_civil_engineering" title="Glossary of civil engineering">Civil engineering</a></li> <li><a href="/wiki/Glossary_of_electrical_and_electronics_engineering" title="Glossary of electrical and electronics engineering">Electrical and electronics engineering</a></li> <li><a href="/wiki/Glossary_of_mechanical_engineering" title="Glossary of mechanical engineering">Mechanical engineering</a></li> <li><a href="/wiki/Glossary_of_structural_engineering" title="Glossary of structural engineering">Structural engineering</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Agricultural_engineering" title="Agricultural engineering">Agricultural</a></li> <li><a href="/wiki/Audio_engineer" title="Audio engineer">Audio</a></li> <li><a href="/wiki/Automation_engineering" title="Automation engineering">Automation</a></li> <li><a href="/wiki/Biomedical_engineering" title="Biomedical engineering">Biomedical</a> <ul><li><a href="/wiki/Bioinformatics" title="Bioinformatics">Bioinformatics</a></li> <li><a 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