Jim Fuller edited Mode Visibility.tex  about 9 years ago

Commit id: c556e38cf22e5d13c11a50243f41a489b4db9870

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\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.