deletions | additions       diff --git a/subsection_Mode_Visibility_Here_we__.tex b/subsection_Mode_Visibility_Here_we__.tex  index 57c0d48..5939f7e 100644  --- a/subsection_Mode_Visibility_Here_we__.tex  +++ b/subsection_Mode_Visibility_Here_we__.tex 
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where $T$ is the transmission coefficient   \begin{equation}  \label{eqn:integral}  T = \exp{\int^{r_2}_{r_1} i k_r dr} \sim \exp{\int^{r_2}_{r_1} \, .%- \frac{\sqrt{\ell (\ell +1)}}{r} dr } \, .  \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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The damping time $\tau$ is the lifetime of wave energy located in the acoustic cavity. It is not equal to the lifetime of a non-suppressed dipole mode, because much of the dipole mode energy resides within the core. Instead, $\tau$ is approximately equal to the lifetime of a radial mode, because all of its energy is in the acoustic cavity. Thus, $\tau$ can be equated with observed/theoretical lifetimes of radial modes.