Abstract
A transformation of the normal modes is described to accommodate the density jump found in range-dependent penetrable bottom problems. The transformation is necessary for the application of perturbation theory to a coupled mode model of a wedge waveguide. The combination of conventional coupled modes and perturbation theory yields an efficient modal theory for shallow water acoustics of range dependence. The method is applied to upslope propagation in the ASA benchmark 2 wedge [J. Acoust. Soc. Am. 87, 1499–1510 (1990)].
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