Scalar wave scattering of a prolate spheroid as a parameter expansion of that of a sphere

Acho, Thomas M.

doi:10.1090/qam/1178427

Author: Thomas M. Acho
Journal: Quart. Appl. Math. 50 (1992), 451-468
MSC: Primary 35J05; Secondary 35P25
DOI: https://doi.org/10.1090/qam/1178427
MathSciNet review: MR1178427
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Abstract: In this paper the scattering problem for the prolate spheroid, \[ \Delta {U_p} + {k^2}{U_p} = 0\], is solved by way of an asymptotic parameter expansion, where the spheroid is considered a perturbation of a sphere (which has an exact solution). The error of the asymptotic approximation is then estimated.

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