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German Vargas edited section_Theory_subsection_Mach_Zehnder__.tex
almost 9 years ago
Commit id: d44d5aedfb6c5d758aac363171cfd8456ab1eba5
deletions | additions
diff --git a/section_Theory_subsection_Mach_Zehnder__.tex b/section_Theory_subsection_Mach_Zehnder__.tex
index 78ae14d..2c94910 100644
--- a/section_Theory_subsection_Mach_Zehnder__.tex
+++ b/section_Theory_subsection_Mach_Zehnder__.tex
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$\left|H\left(\lambda\right)\right|^{2}=\frac{1}{4}\left[\frac{3}{2}+2\cos\left(\beta\Delta L\right)+\frac{1}{2}\cos\left(2\beta\Delta L\right)\right]$
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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:
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$\left|H\left(\omega\right)\right|^{2}=\cos^{4}\left(\frac{\omega\tau_{m}}{2}\right) = \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}] $
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