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chris spencer edited Theory.tex
about 10 years ago
Commit id: cb1745e13c5c4f937e81c634c7cf78f6d2114743
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\section{Theory}
\center{Appleton's equation is given by}
\small{\[\eta^2=1-\frac{\omega_{pe}^2}{\omega^2\left((1+\frac{i\nu}{\omega})-\frac{\omega_{ce}^2\sin^2\theta}{2\omega^2\left(1-\frac{\omega_{pe}^2}{\omega^2}\right)}\pm\sqrt{\frac{(\omega_{ce}^2\sin^2\theta)^2}{4(1-\frac{\omega_{pe}^2}{\omega^2})}+\frac{\omega_{ce}^2cos^2\theta}{\omega^2}}\right)}\]}
for an infinite plasma. This described the index of refraction for a whistler wave where$\eta^2=\left(\frac{kc}{\omega}$