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<title>Pre-Quantum Electrodynamics</title>
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<a href="./in.html#in">Introduction</a><span class="headline-id">in</span>
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<a href="./in_t.html#in_t">Tips for the reader</a><span class="headline-id">in.t</span>
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<a href="./in_t_c.html#in_t_c">Contextual colors</a><span class="headline-id">in.t.c</span>
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<a href="./emsm.html#emsm">Electromagnetostatics in matter</a><span class="headline-id">emsm</span>
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<a href="./emsm_esm.html#emsm_esm">Electrostatics in matter</a><span class="headline-id">emsm.esm</span>
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<a href="./emsm_esm_p.html#emsm_esm_p">Polarization</a><span class="headline-id">emsm.esm.p</span>
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-<a href="./emsm_esm_d.html#emsm_esm_d">Dielectrics</a><span class="headline-id">emsm.esm.d</span>
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+<a href="./emsm_esm_di.html#emsm_esm_di">Dielectrics</a><span class="headline-id">emsm.esm.di</span>
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</nav>
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-<ul class="navigation-links"><li>Prev: <a href="emsm_esm_p.html">Polarization <small>[emsm.esm.p]</small></a></li><li>Next: <a href="emsm_esm_fpo.html">The Field of a Polarized Object <small>[emsm.esm.fpo]</small></a></li><li>Up: <a href="emsm_esm.html">Electrostatics in matter <small>[emsm.esm]</small></a></li></ul><div id="outline-container-emsm_esm_d" class="outline-4">
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-<h4 id="emsm_esm_d">Dielectrics<a class="headline-permalink" href="./emsm_esm_d.html#emsm_esm_d"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
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+<ul class="navigation-links"><li>Prev: <a href="in_t.html">Tips for the reader <small>[in.t]</small></a></li><li>Next: <a href="in_t_c.html">Contextual colors <small>[in.t.c]</small></a></li><li>Up: <a href="in_t.html">Tips for the reader <small>[in.t]</small></a></li></ul><div id="outline-container-in_t_l" class="outline-4">
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+<h4 id="in_t_l">Section and equation labelling<a class="headline-permalink" href="./in_t_l.html#in_t_l"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
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<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"/>
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+</svg></a><span class="headline-id">in.t.l</span></h4>
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<p>
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-Let's quickly pause to give a classification of the types of responses that might be expected from
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-materials.
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-\subsubsection*{Permanent polarization:} here, \({\bf P} \neq 0\) even if \({\bf E} = 0\).
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-These are the {\bf electrets}.
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+For labelling sections and equations, I've preferred to use a semantic
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+format instead of traditional numbers.
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-\subsubsection*{Nonlinear dielectrics:}
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-\[
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-P_i = \sum_j \alpha_{ij} E_j + \sum_{jk} \beta_{ijkl} E_j E_k E_l + ...
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-\]
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-(even-order terms usually absent, but could be there in principle).
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-\subsubsection*{Linear dielectrics:} only linear term is there. Most general:
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-\[
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-P_i = \varepsilon_0 \chi_{ij} E_j
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-\label{Gr(4.38)}
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-\]
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-where \({\bf \chi}\) is the {\bf electric susceptibility tensor} (it's a tensor of rank 2),
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-which cannot depend on \({\bf E}\) (otherwise we go back to the nonlinear case).
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-Common in crystals, leading to for example double refraction.
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-\subsubsection*{Linear isotropic dielectrics:} at a given point, the electrical properties of
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-the dielectric are independent of the direction of \({\bf E}\) (isotropy). Liquids fall into
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-this category. We here have
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+This has a number of advantages: the labelling is
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</p>
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-<div class="main div" id="org4bcb7c7">
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+
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+<ul class="org-ul">
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+<li>easier to remember in the long run</li>
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+<li>stable under tree structure modifications</li>
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+</ul>
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<p>
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-\[
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- {\bf P} = \varepsilon_0 \chi_e {\bf E}
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- \]
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+but also come with some things which need getting used to:
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</p>
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+<ul class="org-ul">
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+<li>the loss of clear notion of ordering</li>
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+<li>abbreviations being as short as possible, thus needing learning</li>
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+</ul>
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+<p>
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+<b>Section labelling</b>: floated right next to the title of any section, you will see the
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+label together with a permalink (pointing to the main site's version
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+of that particular section). Under a section's headline, you will also
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+sometimes see references (in small gray letters) to corresponding sections
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+in complemetary <a href="./a_l.html#a_l">literature</a>.
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+</p>
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+<p>
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+<b>Equation labelling</b>: similarly to sections, some (but not all)
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+equations also carry a semantic label, given in parentheses to the right
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+of the equation. As per sections, a permalink is also given, together
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+with corresponding equation numbers in complementary literature.
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+</p>
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<hr><div id="postamble" class="status">
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<p class="author">Author: Jean-Sébastien Caux</p>
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-<p class="date">Created: 2022-02-08 Tue 06:55</p>
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+<p class="date">Created: 2022-02-08 Tue 17:21</p>
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<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
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