this is for holding javascript data
German Vargas edited section_Theory_subsection_Mach_Zehnder__.tex
almost 9 years ago
Commit id: 5484691e9259dbd3979fca0a81a89f1c32f339b8
deletions | additions
diff --git a/section_Theory_subsection_Mach_Zehnder__.tex b/section_Theory_subsection_Mach_Zehnder__.tex
index a147b71..43f3832 100644
--- a/section_Theory_subsection_Mach_Zehnder__.tex
+++ b/section_Theory_subsection_Mach_Zehnder__.tex
...
$\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}