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首页> 外文期刊>Physical review, E. Statistical physics, plasmas, fluids, and related interdisciplinary topics >Scattering of dislocated wave fronts by vertical vorticity and the Aharonov-Bohm effect. I. Shallow water
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Scattering of dislocated wave fronts by vertical vorticity and the Aharonov-Bohm effect. I. Shallow water

机译：垂直涡度和Aharonov-Bohm效应使位错波前散射。 I.浅水

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When a surface wave interacts with a vertical vortex in shallow water the latter induces a dislocation in the incident wave fronts that is analogous to what happens in the Aharonov-Bohm effect for the scattering of electrons by a confined magnetic held. In addition to this global similarity between these two physical systems there is scattering. This paper reports a detailed calculation of this scattering, which is quantitatively different from the electronic case in that a surface wave penetrates the inside of a vortex while electrons do not penetrate a solenoid. This difference, together with an additional difference in the equations that govern both physical systems, lead to a quite different scattering in the case of surface waves, whose main characteristic is a strong asymmetry in the scattering cross section. The assumptions and approximations under which these effects happen are carefully considered, and their applicability to the case of the scattering of acoustic waves by vorticity is noted. [S1063-651X(99)18610-0]. [References: 32]
机译：当表面波与浅水中的垂直涡旋相互作用时，后者会在入射波前引起位错，这类似于阿哈罗诺夫-波姆效应中所发生的由有限的固定磁场使电子散射的情况。除了这两个物理系统之间的全局相似性之外，还有散射。本文报道了这种散射的详细计算，该散射在数量上与电子情况不同，因为表面波会穿透涡流内部，而电子不会穿透螺线管。这种差异，再加上控制两个物理系统的方程式的其他差异，在表面波的情况下导致了完全不同的散射，其主要特征是散射截面的强烈不对称性。仔细考虑了发生这些影响的假设和近似，并指出了它们在通过涡旋散射声波情况下的适用性。 [S1063-651X（99）18610-0]。 [参考：32]

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