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Ning Zhu edited subsection_Direct_Fit_Method_We__.tex
over 8 years ago
Commit id: d2f24984f127f557c980f54015ba8e91da272b8c
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\subsection{Direct Fit Method}
We plot the photodiode voltage versus angle of the polarizer with and without a magnetic field applied as shown in figure \ref{fig:directmethoddata}. It can be seen from the graph that the curve shifts a little bit, which is a direct result of the magnetic field. By applying curve fit to our data points, we find the phase shift between two curves is 4 degrees($d\theta$).
We %We got 45 degrees after applying trigonometry to our previous fits since we used $cos$ function instead of $cos^2$ to fit our data in \ref{fig:directmethoddata}. This value is consistent with the value we got when we set the second derivative of $\frac{V}{\theta}$ to zero (the inflection point).
The current provided to induce a magnetic field is -3A, which can be translated to
dB $dB$ using equation \ref{magneticfield}. With these numbers, we are able to calculate Verdet constant using equation :
\begin{equation}
c_v=\frac{1}{L}\frac{d\theta}{dB}
\end{equation}