German Vargas edited section_Theory_subsection_Mach_Zehnder__.tex  almost 9 years ago

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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}