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German Vargas edited section_Theory_subsection_Mach_Zehnder__.tex
almost 9 years ago
Commit id: 33ecea4868eab06abfa75c93a0d4cb38b27f8916
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diff --git a/section_Theory_subsection_Mach_Zehnder__.tex b/section_Theory_subsection_Mach_Zehnder__.tex
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The second scenario of the two-stage MZI filter is to have different path length differences at each stage. From the initial equation, this means that delays are different, therefore the transfer function becomes:
\begin{center}
$\left|H\left(\omega\right)\right|^{2}=\cos^{4}\left(\frac{\omega\tau_{m}}{2}\right) $\left|H\left(\omega\right)\right|^{2} = \cos ^2 (\frac{\omega \tau_1}{2}) \cos ^2 (\frac{\omega \tau_2}{2}) = \frac{1}{4}[1 + \cos(\omega \tau_{1}] [1 + \cos(\omega \tau_{2}] $
\end{center}