%% This LaTeX-file was created by <jl> Mon Mar  3 21:12:30 1997
%% LyX 0.10 (C) 1995 1996 by Matthias Ettrich and the LyX Team

%% Don't edit this file unless you are sure what you are doing.
\documentclass[12pt,letterpaper,oneside,onecolumn]{article}
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\begin{document}

\begin{itemize}

\item Treat speaker as sphere expanding and contracting sinusoidally. For
\( R<<\lambda  \), distance \( \frac{c_{s}}{w} \) is the near field. In the near field everything expands
and contracts together. \( \frac{\triangle V}{V}\sim \frac{R^{2}\frac{u}{\omega }}{(\frac{c_{s}}{\omega })^{3}} \). The total power radiated is then \( 4\pi \omega ^{2}p_{0}c_{s}\frac{R^{4}u^{2}}{c_{s}^{3}} \). 

\item For a dipole source, the radiated power drops by \( (\frac{\omega d}{c_{s}})^{2} \) and is no longer
isotropic. varies as \( cos(\theta ) \)

\item Quadrupole source, Power is related to power of monopole by \( (\frac{\omega d}{c_{s}})^{4} \), \( sin(\theta )cos(\theta ) \).
Tuning forks radiate as a quadropole.

\end{itemize}

\end{document}
