Measurement of Faraday Rotation in SF57 glass at 670 nm **Third and Final Draft**

We performed an experiment to measure the Faraday rotation of polarized light passing through a magnetic field, as well as measuring the Verdet constant of an SF57 glass tube with a length of \(0.1\) m. Our results are consistent with the general idea of Faraday rotation, which suggests that linearly polarized light experiences rotation when applying a magnetic field. We used three different methods to find Verdet constants, which are Direct Fit, Slope Fit and Lock-in Method. The values we found are \(21\pm 5 \frac{radians}{T \cdot m}\), \(21.095\pm0.003 \frac{radians}{T \cdot m}\) and \(20.43\pm0.06 \frac{radians}{T \cdot m}\) respectively, and those values are consistent with each other within uncertainty.

1. To observe Faraday effect in this lab, which says that the rotation of plane of polarization of light changes when applying a magnetic field, which can be described using Equation \ref{1} \[\label{1} I=I_{0}cos^{2}(\theta_1−\theta_0-\phi(B))\] Equation \ref{2} descries the transmission of polarized light through a second polarizer: \[\label{2} I=I_{0}cos^{2}(\theta_1−\theta_0)\] where \(I_{0}\) is the intensity of the light after passing through the first polarizer and \(I\) is the light intensity passing through both polarizers at angles \(\theta_{1}\) and \(\theta_{0}\).

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