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Update 2022-03-07 20:40

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Jean-Sébastien
2022-03-07 20:40:36 +01:00
parent 21bf9fdba5
commit 4808df71e6
194 changed files with 1487 additions and 5980 deletions
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build/emd_emw_ep.html
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-03-02 Wed 15:45 -->
<!-- 2022-03-07 Mon 20:38 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1098,14 +1098,6 @@ Table of contents
<li>
<a href="./emdm_emwm_refl_oi.html#emdm_emwm_refl_oi">Oblique Incidence</a><span class="headline-id">emdm.emwm.refl.oi</span>
</li>
<li>
<a href="./emdm_emwm_refl_Fe.html#emdm_emwm_refl_Fe">Fresnel's Equations</a><span class="headline-id">emdm.emwm.refl.Fe</span>
</li>
<li>
<a href="./emdm_emwm_refl_Ba.html#emdm_emwm_refl_Ba">Brewster's Angle</a><span class="headline-id">emdm.emwm.refl.Ba</span>
</li>
</ul>
@@ -1652,12 +1644,30 @@ so for a monochromatic EM plan wave,
\]
or more succinctly:
</p>
<div class="main div" id="org0e45759">
<div class="main div" id="orgee78283">
<p>
<b>Poynting vector of a monochromatic EM wave</b>
</p>
<div class="eqlabel" id="orgdedd25b">
<p>
<a id="Poynting_mpw"></a><a href="./emd_emw_ep.html#Poynting_mpw"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
<path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
<path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
</svg></a>
</p>
<div class="alteqlabels" id="orgdfa9b5e">
<ul class="org-ul">
<li>Gr (9.57)</li>
</ul>
</div>
</div>
<p>
{\bf Poynting vector of a monochromatic EM wave}
\[
{\boldsymbol S} = c u ~\hat{\boldsymbol k}
\]
{\boldsymbol S} = c u ~\hat{\boldsymbol k}
\tag{Poynting_mpw}\label{Poyting_mpw}
\]
</p>
</div>
@@ -1668,12 +1678,12 @@ This has a transparent physical interpretation: the energy density \(u\) flows w
<p>
Similary, we get the
</p>
<div class="main div" id="org4b55ff9">
<div class="main div" id="org108cc57">
<p>
{\bf Momentum density of a monochromatic EM wave}
<b>Momentum density of a monochromatic EM wave</b>
\[
{\boldsymbol g} = \frac{1}{c^2} {\boldsymbol S} = \frac{u}{c} ~\hat{\boldsymbol k}
\]
{\boldsymbol g} = \frac{1}{c^2} {\boldsymbol S} = \frac{u}{c} ~\hat{\boldsymbol k}
\]
</p>
</div>
@@ -1688,14 +1698,14 @@ Time averages: integrating over a (integer number of) cycle(s), we have
</p>
<p>
The average power per unit time per unit area transported by an EM wave is called the {\bf Intensity}
The average power per unit time per unit area transported by an EM wave is called the <b>Intensity</b>
\[
I \equiv \langle S \rangle = \frac{c\varepsilon_0}{2} E_0^2
\]
</p>
<p>
The {\it radiation pressure} is the momentum transfer per unit area per unit of time
The <b>radiation pressure</b> is the momentum transfer per unit area per unit of time
\[
P = \frac{1}{A}\frac{\Delta p}{\Delta t} = \frac{\langle g \rangle A c \Delta t}{A \Delta t} = \frac{\varepsilon_0}{2} E_0^2 = \frac{I}{c}.
\]
@@ -1719,7 +1729,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
</div>
<div id="postamble" class="status">
<p class="author">Author: Jean-Sébastien Caux</p>
<p class="date">Created: 2022-03-02 Wed 15:45</p>
<p class="date">Created: 2022-03-07 Mon 20:38</p>
<p class="validation"></p>
</div>