Scattering by a draining bathtub vortex

作者:Dolan Sam R*; Oliveira Ednilton S
来源:Physical Review D - Particles, Fields, Gravitation and Cosmology, 2013, 87(12): 124038.
DOI:10.1103/PhysRevD.87.124038

摘要

We present an analysis of scattering by a fluid-mechanical %26quot;black hole analogue,%26quot; known as the draining bathtub vortex: a two-dimensional flow that possesses both a sonic horizon and an ergoregion. We consider the scattering of a plane wave of fixed frequency impinging upon the vortex. At low frequency, we encounter a modified Aharonov-Bohm effect. At high frequencies, we observe regular %26quot;orbiting%26quot; oscillations in the scattering length, due to interference between contra-orbiting rays. We present approximate formulas for both effects and a selection of numerical results obtained by summing partial-wave series. Finally, we examine interference patterns in the vicinity of the vortex and highlight the prospects for experimental investigation.

  • 出版日期2013-6-28