{"id":12493,"date":"2021-08-21T15:52:52","date_gmt":"2021-08-21T15:52:52","guid":{"rendered":"http:\/\/blog.bachi.net\/?p=12493"},"modified":"2021-08-22T18:22:15","modified_gmt":"2021-08-22T18:22:15","slug":"optoelectronics-and-photonics","status":"publish","type":"post","link":"https:\/\/blog.bachi.net\/?p=12493","title":{"rendered":"Optoelectronics and Photonics"},"content":{"rendered":"<ul>\n<li>Maxwell&#8217;s equation<\/li>\n<li>Geometrical optics<\/li>\n<li>Interference<\/li>\n<li>Diffraction<\/li>\n<li>Fresnel&#8217;s equation<\/li>\n<li>Group velocity<\/li>\n<li>Group index<\/li>\n<li>Quantum mechanical concepts<\/li>\n<\/ul>\n<ul>\n<li>Vectors<\/li>\n<li>Complex numbers<\/li>\n<li>Partial differentiation<\/li>\n<li>Fourier transforms<\/li>\n<\/ul>\n<ul>\n<li>Wave theory<\/li>\n<li>Particle theory<\/li>\n<\/ul>\n<ul>\n<li>light<\/li>\n<li>Wave theory: wave =&gt; interference, diffraction<\/li>\n<li>Particle theory: photon<\/li>\n<\/ul>\n<h1>Wave Nature of Light<\/h1>\n<h2>Light Waves in a Homogeneous Medium<\/h2>\n<h3>Plane Electromagnetic Wave<\/h3>\n<ul>\n<li>Electric field Ex<\/li>\n<li>Magnetic field By<\/li>\n<li>Electromagnetic wave<\/li>\n<li>traveling wave<\/li>\n<li>time varying<\/li>\n<li>perpendicular to each other and the direction of propagation: z<\/li>\n<li>position z<\/li>\n<li>time t<\/li>\n<li>propagation constant, wave number k (2*pi\/lambda)<\/li>\n<li>wavelength lambda<\/li>\n<li>angular frequency omega<\/li>\n<li>wave amplitude E0<\/li>\n<li>Phase constant phi0<\/li>\n<li>Argument (omega*t &#8211; k*z + phi0) =&gt; phase phi<\/li>\n<li>Monochromatic plane wave<\/li>\n<li>wavefront<\/li>\n<li>Faraday&#8217;s law: time varying magnetic field results in time varying electric fields and vice versa<\/li>\n<li>optical field<\/li>\n<\/ul>\n<span class=\"katex-eq\" data-katex-display=\"false\">\n\nz = a+b\\,\\mathrm i \\\\\n\n|z| = \\sqrt{a^2 + b^2} \\\\\n\nz = r \\cdot \\mathrm{e}^{\\mathrm{i}\\varphi} = r \\cdot (\\cos \\varphi + \\mathrm{i} \\cdot \\sin \\varphi) \\\\\n\n\\phi = \\omega t - k z + \\phi_0 \\\\\n\na^{x+y}=a^x \\cdot a^y \\\\\n\na^{x\\cdot y}=(a^{x})^{y} \\\\\n\n{\\displaystyle a^{-x}={\\frac {1}{a^{x}}}=\\left({\\frac {1}{a}}\\right)^{x}} \\\\\n\n{\\displaystyle {\\sqrt[{q}]{a^{p}}}=a^{\\frac {p}{q}}}\n\n<\/span>\n","protected":false},"excerpt":{"rendered":"<p>Maxwell&#8217;s equation Geometrical optics Interference Diffraction Fresnel&#8217;s equation Group velocity Group index Quantum mechanical concepts Vectors Complex numbers Partial differentiation Fourier transforms Wave theory Particle theory light Wave theory: wave =&gt; interference, diffraction Particle theory: photon Wave Nature of Light Light Waves in a Homogeneous Medium Plane Electromagnetic Wave Electric field Ex Magnetic field By [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-12493","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/blog.bachi.net\/index.php?rest_route=\/wp\/v2\/posts\/12493","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.bachi.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.bachi.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.bachi.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.bachi.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=12493"}],"version-history":[{"count":27,"href":"https:\/\/blog.bachi.net\/index.php?rest_route=\/wp\/v2\/posts\/12493\/revisions"}],"predecessor-version":[{"id":12528,"href":"https:\/\/blog.bachi.net\/index.php?rest_route=\/wp\/v2\/posts\/12493\/revisions\/12528"}],"wp:attachment":[{"href":"https:\/\/blog.bachi.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=12493"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.bachi.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=12493"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.bachi.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=12493"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}