German Vargas edited section_Theory_subsection_Mach_Zehnder__.tex  almost 9 years ago

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$\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}     Applying the previous variable conversion, the transfer function of two cascaded MZI with two unequal path length difference i.e. $\Delta L$ and $2\Delta L$ become as:  \begin{center}  $\left|H\left(\lambda\right)\right|^{2}=\frac{1}{4}\left[1+\cos\left(\beta\Delta L\right)+\cos\left(2\beta\Delta L\right)+\frac{1}{2}\cos\left(\beta\Delta L\right)+\frac{1}{2}\cos\left(3\beta\Delta L\right)\right]$  \end{center}