deletions | additions       diff --git a/subsection_Mode_Visibility_Here_we__.tex b/subsection_Mode_Visibility_Here_we__.tex  index 5939f7e..e5c6084 100644  --- a/subsection_Mode_Visibility_Here_we__.tex  +++ b/subsection_Mode_Visibility_Here_we__.tex 
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\begin{equation}  \dot{E}_{\rm leak} = E_{\rm ac} \frac{T^2}{2 t_{\rm cross}} ,  \end{equation}  where $T$ is the transmission coefficient is  \begin{equation}  \label{eqn:integral}  T = \exp{\int^{r_2}_{r_1} i k_r dr}\sim \exp{\int^{r_2}_{r_1}  \, . \end{equation}  {\bf The value of $T$ is approximately the fractional decrease in wave amplitude across the evanescent region, whereas $T^2$ is the fractional decrease in wave energy. In the WKB approximation, the value of the radial wavenumber $k_r$ within the evanescent region is}  \begin{equation} 
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