Eqs. \ref{eq:Diode_Response} and \ref{eq:MaxSensitivity} suggest 3 methods of measuring the Verdet constant \(c_{V}\).

1. 1.

   Use Eq. \ref{eq:Diode_Response} to Calculate \(d\phi/dB\) and then \(c_{V}\) from measurements of \(V_{\mathrm{pd}}(B,\theta_{2})\) as a function of polarizer angle \(\theta_{2}\) for two or more magnetic field strengths \(B\) (one of which could be zero).

2. 2.

   Use Eq. \ref{eq:MaxSensitivity} to calculate \(dV_{\mathrm{pd}}(B)/dB\), \(d\phi/dB\) and \(c_{V}\) from measurements of \(V_{\mathrm{pd}}(B)\) as a function of magnetic field \(B\) (at the relative polarizer angle \(\phi(0)=\pi/4\)).

3. 3.

   Use Eq. \ref{eq:MaxSensitivity} to calculate \(d\phi/dB\) and \(c_{V}\) from direct measurements of \(dV_{\mathrm{pd}}(B)/dB\) (using a lock-in amplifier) for a modulated magnetic field \(B=B_{0}+B_{1}\cos[2\pi ft]\) (at the relative polarizer angle \(\phi(0)=\pi/4\)).

To find \(c_{V}\) using Eq. \ref{eq:Diode_Response} , we need to fit a plot of our data to Eq. \ref{eq:Diode_Response} to determine \(\theta_{1}(B)\) for each value of \(B\).

To find \(c_{V}\) using Eq. \ref{eq:MaxSensitivity}, note that at that maximum sensitivity setting, \(\phi(B)=\pi/4-c_{V}LB\) and \(V_{\mathrm{pd}}(0)=V_{0}/2\).