All Tables

Table 1: A comparison between numerical polar eigenfrequencies (Num.), adiabatic ones ( $\omega ^0_n$ ) and a WKB approximation. The numerical values were obtained using a least square method on the eigenvalues corresponding to $E = E_{{\rm m}}= 10^{-4}$ and correspond to the intersection between the eigenbranches and the imaginary axis.
Table 2: Comparison between numerical and theoretical first order eigenvalues ( $\varepsilon ^{1/2} \lambda ^1$ ). The two sets of numerical values (Cols. 2 and 3) are based on the numerical eigenspectrum given in Fig. 1 and are calculated using a least square method. These values should be very close to each other. The last column is based on Eq. (33).
Table 3: Energy ratios as defined in Eq. (36) for modes shown in Figs. 10 and 12.