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German Vargas edited section_Theory_subsection_Mach_Zehnder__.tex
almost 9 years ago
Commit id: 718443db092f49c9f4136409302503331dde81e7
deletions | additions
diff --git a/section_Theory_subsection_Mach_Zehnder__.tex b/section_Theory_subsection_Mach_Zehnder__.tex
index 38cfd4d..7411aae 100644
--- a/section_Theory_subsection_Mach_Zehnder__.tex
+++ b/section_Theory_subsection_Mach_Zehnder__.tex
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\begin{center}
$\left|H\left(\omega\right)\right|^{2}=\overset{M}{\underset{m=1}{\prod}}\cos^{2}\left(\frac{\omega\tau_{m}}{2}\right)$
\end{center}
For a two-stage MZI filter the transfer function in angular frequency is derived as follows:
\begin{center}
$\left|H\left(\omega\right)\right|^{2}=\cos^{4}\left(\frac{\omega\tau_{m}}{2}\right) = \frac{1}{2}[1+\cos(\omega \tau_{m})]^2 $
$\left|H\left(\omega\right)\right|^{2}=\frac{1}{4}[\frac{3}{2} + 2 \cos(\omega \tau_{m}) + \frac{1}{2} \cos(2 \omega \tau_{m})] $
\end{center}