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Jim Fuller edited Mode Visibility.tex
about 9 years ago
Commit id: c556e38cf22e5d13c11a50243f41a489b4db9870
deletions | additions
diff --git a/Mode Visibility.tex b/Mode Visibility.tex
index cf4812b..307b9c4 100644
--- a/Mode Visibility.tex
+++ b/Mode Visibility.tex
...
\label{eqn:integral2}
T \simeq \bigg( \frac{r_1}{r_2} \bigg)^{\sqrt{l(l+1)}} \, ,
\end{equation}
where $r_1$ and $r_2$ are the boundaries of the evanescent
region (in region. In this case, the upper boundary occurs where $\omega=L_{\ell}$ and the lower boundary occurs where
$\omega=N$). $\omega=N$, where $N$ is the Brunt-Vaisala frequency. 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 transmitted energy flux through the evanescent region is $T^2$, while the fraction of reflected energy is $R^2=1-T^2$.
Let's assume that for suppressed modes, any mode energy which leaks into the g-mode cavity is completely lost.
%via the magnetic greenhouse effect.