deletions | additions       diff --git a/subsection_Local_Analysis_The_properties__.tex b/subsection_Local_Analysis_The_properties__.tex  index 5c620b7..5392096 100644  --- a/subsection_Local_Analysis_The_properties__.tex  +++ b/subsection_Local_Analysis_The_properties__.tex 
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v_{g,r} = \frac{\omega^2}{N k_\perp} \, .   \end{equation}  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), the wavenumber obtains a large imaginary component. 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 evanescent skin depth is small, with $H_{\rm ev} \sim \sqrt{v_{A}/(N k_\perp)} \ll H$ for realistic field strengths. when the second term in the square root of equation \ref{eqn:magnetodisp} dominates.  The transition from propagating to evanescent magneto-gravity waves occurs when  \begin{equation}