The ray solution for stationary hydrostatic mountain waves has a singularity along the vertical axis directly over the mountain. We use Maslov's method to improve the ray prediction. The ray solution is determined in the wave‐number domain and is then mapped by inverse Fourier transform to give a spatial description of the wave field that approximates the linear solution over the mountain and elsewhere. We develop Maslov's method for a medium with a height‐dependent mean wind and mean buoyancy, and we compare it with the traditional transform method and with the results of a numerical simulation.
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Broutman et al. (2002) studied this question.
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