Using Microwave Michelson Interferometer to Measure the Speed of Light. Basic presentation. Includes figures/tables/equations
\documentclass{beamer}
\mode<presentation>
{
\usetheme{default}
\usecolortheme{beaver}
\usefonttheme{professionalfonts}
\setbeamertemplate{navigation symbols}{}
\setbeamertemplate{caption}[numbered]
}
\usepackage[english]{babel}
\usepackage[utf8x]{inputenc}
\usepackage{graphicx}
\title[Your Short Title]{Using Microwave Michelson Interferometer To Measure the Speed of Light}
\author{Anand P. Dwivedi, Bailey A. Miller, Melanie N. Rex}
\institute{Physics Department, Stetson University}
\date{May 5, 2017}
\begin{document}
\begin{frame}
\titlepage
\end{frame}
\begin{frame}{Outline}
\begin{itemize}
\item Importance
\item Michelson Interferometer Overview
\item Experimental Setup
\item Procedure
\item Data Collection
\item Results
\end{itemize}
\end{frame}
\section{Introduction}
\begin{frame}{The Cosmic Speed Limit}
\begin{itemize}
\item How fast electromagnetic waves travel in vacuum
\item Maximum speed at which any information may travel
\item Many of the greatest scientific discoveries could not have arisen without knowledge of the speed of light
\item Speed of light in vacuum is different than in air
\begin{itemize}
\item index of refraction of air, n = 1.0003
\end{itemize}
\end{itemize}
\vskip 1cm
\vspace{-12mm}
\begin{figure}
\centering
\includegraphics[width=70mm]{sol.jpg}
%\caption{Potential vs Time graph for photogate.}
\end{figure}
\end{frame}
\section{Some \LaTeX{} Examples}
\subsection{Tables and Figures}
\begin{frame}{Michelson Interferometer}
Microwaves, just like any other waves, can be Doppler shifted. The microwave detector received waves that were shifted to lower frequencies along with unshifted waves
\begin{itemize}
\item we used the resulting phenomena to calculate the value of \textit{c}
\end{itemize}
\begin{figure}
\includegraphics[width=70mm]{michelson.PNG}
\caption{Schematic Diagram of microwave Michelson Interferometer}
\end{figure}
\end{frame}
\subsection{Mathematics}
\begin{frame}{Equipment}
\begin{itemize}
\item Microwave Source
\item Fiberboard beam splitter
\item Fixed mirror
\item Movable mirror
\item Air Track and glider
\item Photogate
\item Detector
\end{itemize}
\end{frame}
\begin{frame}{Experimental Setup}
\begin{figure}
\includegraphics[width=\textwidth]{setup.PNG}
\caption{Schematic Diagram of experimental setup}
\end{figure}
\end{frame}
\begin{frame}{Data Collection}
\begin{itemize}
\item Frequency at which the microwaves are emitted
\begin{equation}
f = 10.525 GHz
\end{equation}
\end{itemize}
\begin{itemize}
\item Average speed of glider
\begin{equation}
v = \frac{d}{t_{v1}-t_{v2}}
\end{equation}
\end{itemize}
\begin{itemize}
\item Average beat frequency
\begin{equation}
B = \frac{N_B}{t_{B1}-t_{B2}}
\end{equation}
\end{itemize}
\end{frame}
\begin{frame}{Data Collection}
\begin{figure}
\includegraphics[width=90mm]{sine_graph.PNG}
%\vspace{-2mm}
\caption{Potential vs Time graph for beat frequency}
\end{figure}
%\vspace{-5mm}
\begin{figure}
\includegraphics[width=90mm]{square_graph.PNG}
\caption{Potential vs Time graph for photogate}
\end{figure}
\end{frame}
\begin{frame}{Results}
\begin{table}[h!]
\centering
\begin{tabular}{|c|c|}
\hline
\textbf{Trial} & \textbf{Speed of light $(10^8 m/s)$}\\
\hline
1 & 2.988\\
2 & 3.007\\
3 & 3.023\\
4 & 3.002\\
5 & 3.000\\
6 & 3.002\\
7 & 3.003\\
8 & 3.008\\
9 & 3.011\\
10 & 2.995\\
\hline
\end{tabular}
\caption{Value of \textit{c} for each trial}
\label{tab:speedtable}
\end{table}
%\vspace{-5mm}
\begin{itemize}
\item Average value of speed of light\newline
%\vspace{-3mm}
\begin{equation*}
c_{measured} = (3.004\pm0.003) * 10^8 m/s
\end{equation*}
\end{itemize}
%\centering Average value of speed of light, $c_{measured}$ = (3.004\pm0.003)\newline
%\centering Accepted value of speed of light, \textit{c} = $2.998 * 10^8 m/s$
\end{frame}
\begin{frame}{Results and Conclusion}
\begin{itemize}
\item Average value of speed of light
\begin{equation*}
c_{measured} = (3.004\pm0.003) * 10^8 m/s
\end{equation*}
\item Accepted value of speed of light
\begin{equation*}
c = 2.998 * 10^8 m/s
\end{equation*}
\item Percentage error = $0.202\%$
\item Measures the Doppler shift of the microwaves
\begin{itemize}
\item results when one of the interferometer's mirrors is moving
\end{itemize}
\end{itemize}
\end{frame}
\begin{frame}{Acknowledgements}
\begin{itemize}
\item Dr. Kevin Riggs
\item Larry Ramsey
\end{itemize}
\end{frame}
\end{document}