Wave Scattering by an Isolated Cyclogeostrophic Vortex

The propagation paths of oceanic internal tides are influenced by their interactions with vortices. We examine the scattering effect that an isolated vortex in (cyclo)geostrophic balance has on a rotating shallow-water plane wave. We run a suite of simulations in which we vary the non-dimensional vorticity of the vortex, $Ro$, the relative scale of the vortex size to the Rossby radius of deformation, $Bu$, and the size of the vortex compared to the plane wave wavelength, K. We compare the scattered wave flux pattern to ray-tracing predictions. Ray tracing predictions are relatively insensitive to K in the $10.2$, it plateaus following a sigmoid