From e3bb4164b4c74d971bf341fbbab7d48b1d11a892 Mon Sep 17 00:00:00 2001
From: kraus <christof.kraus@psi.ch>
Date: Sat, 24 Sep 2022 13:40:47 +0000
Subject: [PATCH] Update autophase.asciidoc
---
autophase.asciidoc | 4 ++--
1 file changed, 2 insertions(+), 2 deletions(-)
diff --git a/autophase.asciidoc b/autophase.asciidoc
index 8d64f2a..6325a49 100644
--- a/autophase.asciidoc
+++ b/autophase.asciidoc
@@ -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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