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Jim Fuller edited Wave Propagation.tex
about 9 years ago
Commit id: 55666f9f92e68ba3eef45b06dc0d4acda5a8b8dd
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For non-negligible buoyancy or magnetic field, the slow and fast magneto-gravity waves have similar characteristics. In the limit of very strong magnetic field or stratification (such that the second term in the square root of equation \ref{eqn:magnetodisp} dominates), we have
\begin{equation}
\label{eqn:magnetodisp3}
k \simeq \pm \sqrt{\frac{N
k_\perp}{\mu k_\perp}{2 \mu v_A}} \big( 1 \pm i \big).
\end{equation}
Therefore, magneto-gravity waves become evanescent in regions of very strong magnetic field. In essence, low frequency waves can reflect off the stiff field lines, similar to low frequency fluid waves reflecting off a solid boundary. The transition from propagating to evanescent magneto-gravity waves occurs when
\begin{equation}