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Update 2022-02-14 20:42

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Jean-Sébastien
2022-02-14 20:42:37 +01:00
parent 4cfe8cef59
commit 09a8ba5fb6
204 changed files with 1968 additions and 1206 deletions
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build/emdm_emwm_wg_c.html
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-02-13 Sun 21:20 -->
<!-- 2022-02-14 Mon 20:35 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1615,13 +1615,13 @@ In this case, we can find nontrivial solutions to Maxwell's equations for \(E_z
<p>
The derivative equations are precisely the electrostatic and magnetic equations for empty space with cylindrical symmetry. The solution is thus that of an infinite line charge and an infinite straight current:
\[
{\boldsymbol E}_0 (s, \phi) = \frac{A}{s} \hat{\boldsymbol s}, \hspace{10mm}
{\boldsymbol B}_0 (s, \phi) = \frac{A}{cs} \hat{\boldsymbol \phi}
{\boldsymbol E}_0 (s, \varphi) = \frac{A}{s} \hat{\boldsymbol s}, \hspace{10mm}
{\boldsymbol B}_0 (s, \varphi) = \frac{A}{cs} \hat{\boldsymbol \varphi}
\]
where \(A\) is a constant amplitude. Substituting and taking the real part,
\[
{\boldsymbol E} (s, \phi, z, t) = \frac{A}{s} \cos (kz - \omega t) \hat{\boldsymbol s}, \hspace{10mm}
{\boldsymbol B} (s, \phi, z, t) = \frac{A}{cs} \cos (kz - \omega t) \hat{\boldsymbol \phi}.
{\boldsymbol E} (s, \varphi, z, t) = \frac{A}{s} \cos (kz - \omega t) \hat{\boldsymbol s}, \hspace{10mm}
{\boldsymbol B} (s, \varphi, z, t) = \frac{A}{cs} \cos (kz - \omega t) \hat{\boldsymbol \varphi}.
\]
</p>
</div>
@@ -1643,7 +1643,7 @@ 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: 2022-02-13 Sun 21:20</p>
<p class="date">Created: 2022-02-14 Mon 20:35</p>
<p class="validation"></p>
</div>