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Commit e3bb4164 authored by kraus's avatar kraus
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Update autophase.asciidoc

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......@@ -32,7 +32,7 @@ to the lag, latexmath:[\varphi] and set the result to zero:
[latexmath]
++++
\begin{aligned}
\mathrm{d}{\Delta E(\varphi,r)}{\varphi} &= -\int_{z_\text{begin}}^{z_\text{end}} (1 + \omega \frac{\partial t(z,\varphi)}{\partial \varphi}) \sin(\omega t(z,\varphi) + \varphi) E_z(z,r)\\
\frac{\mathrm{d}{\Delta E(\varphi,r)}}{\mathrm{d}{\varphi}} &= -\int_{z_\text{begin}}^{z_\text{end}} (1 + \omega \frac{\partial t(z,\varphi)}{\partial \varphi}) \sin(\omega t(z,\varphi) + \varphi) E_z(z,r)\\
&= -\cos(\varphi) \int_{z_\text{begin}}^{z_\text{end}} (1 + \omega \frac{\partial t(z,\varphi)}{\partial \varphi}) \sin(\omega t(z,\varphi)) E_z(z,r) dz \\
&-\sin(\varphi) \int_{z_\text{begin}}^{z_\text{end}} (1 + \omega \frac{\partial t(z,\varphi)}{\partial \varphi}) \cos(\omega t(z,\varphi)) E_z(z,r) dz \equiv 0.
\end{aligned}
......@@ -281,4 +281,4 @@ Here we also used some trigonometric identities:
\end{aligned}
++++
// EOF
\ No newline at end of file
// EOF
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