Abstract

The scattering of a plane acoustic wave from an ideal cylindrical vortex has been studied theoretically. Because the velocity field of a vortex extends to infinity, special approximation techniques must be employed in the solution for the scattered wave in order to avoid singularities. An approximate solution has been obtained under the assumption that the maximum tangential velocity of the vortex is much smaller than the velocity of sound and that the angular velocity of the vortex is less than the angular frequency of the sound. The connection of vortex scattering with anomalous propagation effects in the atmosphere will be discussed.

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