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Jim Fuller edited subsection_Wave_Leakage_Time_The__.tex
almost 9 years ago
Commit id: cbd3fdb8805842cdbfa79b60d0d880de2ff200e8
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\subsection{Wave Leakage Time}
{\bf
The wave leakage time scale $t_{\rm leak}$ on which wave energy tunnels from the acoustic cavity into the stellar core can be calculated several ways. As shown above,
\begin{equation}
\label{eqn:tleak}
t_{\rm leak} \simeq \big( \Delta \nu T^2 \big)^{-1} \,,
\end{equation}
where $T^2$ is the fraction of the wave energy that leaks into the core each time the wave hits the outer edge of the evanescent region at $r_2$.
Using a WKB approximation, the value of $T$ can be calculated from the first part of equation \ref{integral}, or a rough estimate can be made using equation \ref{integral2}.
}