Fig. 5.

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(a) Radial structure of the eigenfunction of vθ at the equator for the n = 0 equatorial Rossby modes in the inviscid, uniformly rotating, and adiabatically stratified case. Overplotted dashed lines represent theoretically predicted radial dependence vθ ∝ rm. The eigenfunctions are normalized to unity at the surface r = rmax. (b) Latitudinal structure of the eigenfunction of vθ at the surface. Dashed lines are the theoretical solution in the form of Legendre polynomials, vθ ∝ sinm − 1θ. All the eigenfunctions are normalized at the equator.
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