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Chris Spencer edited Theory.tex
about 10 years ago
Commit id: d86b3085c20efc36c6a7bb12e914ae7ff55874d8
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\[\kappa_{xy}=\kappa_{yx}=\frac{i\omega_{ce}\omega_{ce}^2}{\omega^2-\omega_{ce}^2}\]
\[\kappa_{\parallel}=1-\frac{\omega_{pe}^2}{\omega^2}\]
Need to define an oscillating point charge in this system. Define $\rho$ from Gaus's law as \[\rho=qe^{-i\omega t}\sigma(\vec{r})\]
where $\sigma(\vec{r})$ is the delta function at $\vec{r}$ at zero.
Use fourier analysis on Gaus's law and note that $E=-\gradient\phi$