Image Details
Caption: Figure 1.
Differential rotation induces 3D distortions in the radial eigenfunction of the unperturbed mode (n, l) = (2, 150) for m = 10, 75, 140 at radii r/R⊙ = 0.95, 1.0. Each column in the upper panel corresponds to 2D surfaces for the undistorted eigenfunctions ﹩{\tilde{{\boldsymbol{\xi }}}}_{{nlm}}﹩ in the left slice and differences between distorted and undistorted eigenfunctions ﹩\hat{r}\cdot ({{\boldsymbol{\xi }}}_{{nlm}}-{\tilde{{\boldsymbol{\xi }}}}_{{nlm}})﹩ in the right slice. The middle panel shows the difference in the radial variation of eigenfunctions for a chosen (θ0, ϕ0) = (67.°8, 177.°6). The lower panels indicate the magnitudes of the coupling coefficients that induce eigenfunction distortion, as in Equation (11). The self-coupling coefficients ﹩{c}_{{\ell }m}^{{\ell }m}﹩(i.e., p = 0), being the most dominant, are not shown, in order to highlight the contributions of cross-coupling coefficients (p ≠ 0.)
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