German Vargas edited section_Theory_subsection_Mach_Zehnder__.tex  almost 9 years ago

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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}