Ning Zhu edited Linearly_polarized_light_was_sent__1.tex  over 8 years ago

Commit id: 0e4284fcbbf8a0d098b708eb8c3f05e60eb07dae

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Linearly polarized light was sent through the solenoid containing a glass tube but without any current flowing through it, passed through the polarizer, and detected by the photodiode. We rotated the polarizer around 360 degrees, using 15 degree steps, and recorded the voltage read by the photodetector. We then repeated the previous procedure, but with a current of -3.0 amps running through the solenoid, therefore changing the magnetic field. Magnetic field can be calculated from current using Equation  \ref{magneticfield} \begin{equation}  \label{magneticfield}  B=11.1I \frac{mT}{A}  \end{equation}  ADD We changed the magnetic field because we want to measure the field -induced-rotation in polarization angle of the light as it passes through the glass rod. This allows us to find the change in Verdet constant since Verdet constant is a measure of how large a change in polarization angle can be produced for a given field.  %ADD  A PARAGRAPH EXPLAINING (1) WHY YOU WOULD VARY THE MAGNETIC FIELD (TO MEASURE THE FIELD-INDUCED-ROTATION IN POLARIZATION ANGLE OF THE LIGHT AS IT PASSES THROUGH THE GLASS ROD) AND (2) WHAT THAT ALLOWS YOU TO DO (DEMONSTRATE THAT MAGNETIC FIELD INDUCES A CHANGE, AND DETERMINE THE VERDET CONSTANT, WHICH IS A MEASURE OF HOW LARGE A CHANGE IN POLARIZATION ANGLE CAN BE PRODUCED FOR A GIVEN MAGNETIC FIELD). %THIS PARAGRAPH SHOULD BE IN ANALYSIS: We then fit our data to a function of the form $V=V_{0}sin(\phi)^2$. We could find $\frac{\Delta V}{\delta \phi}$ by taking the derivative and using φ=45 degrees, and we could find ΔV by taking the difference of the voltage read by the photodetector when the laser is on (at maximum voltage read) and off. We could then find Δφ by calculating how much the angle of maximum transmission through the polarizer shifter. With all of this information, we could find dB/dφand use the equation $\frac{\Delta B}{\Delta \phi}=\frac{1}{L}\times\frac{1}{C_{v}}$ to find the Verdet constant of the glass tube.