deletions | additions       diff --git a/Mode Visibility.tex b/Mode Visibility.tex  index 87029df..666f09e 100644  --- a/Mode Visibility.tex  +++ b/Mode Visibility.tex 
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The degree of wave transmission between the core and envelope is determined by the tunneling integral through the intervening evanescent zone. The transmission coefficient is   \begin{equation}  \label{eqn:integral2}  T \simeq \bigg( \frac{r_1}{r_2} \bigg)^{\sqrt{l(l+1)}} \bigg)^{\sqrt{\ell(\ell+1)}}  \, , \end{equation}  where $r_1$ and $r_2$ are the lower and upper boundaries of the evanescent zone, respectively. For waves of the same frequency, larger values of $\ell$ have larger values of $r_2$, thus equation \ref{eqn:integral2} demonstrates that high $\ell$ waves have much smaller transmission coefficients through the evanescent zone. The fraction of wave energy transmitted through the evanescent zone is $T^2$.  %while the fraction of reflected energy is $R^2=1-T^2$.