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Diffstat (limited to 'faraday_rotation.tex')
| -rw-r--r-- | faraday_rotation.tex | 5 |
1 files changed, 3 insertions, 2 deletions
diff --git a/faraday_rotation.tex b/faraday_rotation.tex index 772f234..da1d7a0 100644 --- a/faraday_rotation.tex +++ b/faraday_rotation.tex @@ -89,7 +89,7 @@ The experimental setup is shown in Fig.~\ref{fig:setup}. \begin{description} \item[Laser \& photodiode setup] The amplifier includes the laser power supply on the back. Plug the laser in, {\bf being careful to match colors between the cable and the power supply's connectors}. Align the laser so it travels down the center of the solenoid, through the glass rod, and into the center of the photodiode. Set the photodiode load resistor to $\unit[1]{k\Omega}$. Plug the photodiode into a DMM and measure DC voltage. -\item[Calibration: intensity vs $\mathbf{\theta}$] We want to understand +\item[Calibration: intensity vs. $\mathbf{\theta}$] We want to understand how the angle between the polarization vector of the laser light and the polarizer direction affects the intensity. Vary the angle of the analyzing polarizer and use a white screen (e.g., piece of @@ -147,7 +147,8 @@ Figuring out $\Delta\phi$ is a little more difficult. We need to use our calibra The factor of two is because we defined $\Delta V$ as the peak to peak voltage. %\begin{description} -Compute $C_V$ for a few points, along with the uncertainty. Complete the analysis by fitting $\Delta\phi$ vs $\Delta B$ to a straight line and then use Eq.~\ref{eq:faraday_fit} to extract $C_V$ and its uncertainty. Do you see a nice linear relationship? What should the intercept be? Is it what you expect? Are there any outlier points, particularly at the ends of your curve? You could do the same analysis using $V_\mathrm{low}$ or $V_\mathrm{high}$... does doing so yield the same answer for $C_V$? +Compute $C_V$ for a few points, along with the uncertainty. Complete the +analysis by fitting $\Delta\phi$ vs. $\Delta B$ to a straight line and then use Eq.~\ref{eq:faraday_fit} to extract $C_V$ and its uncertainty. Do you see a nice linear relationship? What should the intercept be? Is it what you expect? Are there any outlier points, particularly at the ends of your curve? You could do the same analysis using $V_\mathrm{low}$ or $V_\mathrm{high}$... does doing so yield the same answer for $C_V$? \end{document} |