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German Vargas edited section_Theory__.tex
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\section{Theory}
\subsection{Mach-Zehnder Interferometer basic operation}
\subsection{Optical filter using two Mach-Zehnder interferometers}
%From Agarwal pp. 293
By putting multiple interferometers in cascade arrangement, a filter can be obtained. If we have M MZI devices connected in a chain as seen in Fig.[], then the transfer function of the overall filter can be extracted following the sum of $2^M$ paths. An expression for the transfer function in frequency domain is:
\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}
