Scattering of Sound by a Classical Vortex

Abstract
The cross section for the scattering of sound by a vortex is calculated using the linearized equations of classical hydrodynamics. With a circulation κ, the differential cross section in the long-wavelength limit is 12π(κ2πc)2ksin2ϕ(1cosϕ)2, where c is the speed of sound. Possible experimental verification is suggested, with particular reference to liquid He II.

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