this is for holding javascript data
chris spencer edited Theory.tex
about 10 years ago
Commit id: ae238593de675c2660ef1b29a252d0781ba148c8
deletions | additions
diff --git a/Theory.tex b/Theory.tex
index 81098b4..538b1f2 100644
--- a/Theory.tex
+++ b/Theory.tex
...
\section{Theory}
Appleton's equation is given by \begin{equation}
\eta^2=\left(\frac{kc}{\omega}\right)^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}{4(1-\frac{\omega_{pe}^2}{\omega^2})}+frac{\omega_{ce}^2cos^2\omega}{\omega^2}}}\right)} \eta^2=\left(\frac{kc}{\omega}\right)^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}{4(1-\frac{\omega_{pe}^2}{\omega^2})}+\frac{\omega_{ce}^2cos^2\omega}{\omega^2}}\right)}
\end{equation}