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On the Azimuthal Fourier Components of the Green's Function for the Helmholtz Equation in Three Dimensions.
YALE UNIV NEW HAVEN CT DEPT OF COMPUTER SCIENCE
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Many algorithms that compute acoustic or electromagnetic fields scattered by surfaces of revolution require fast evaluation of the azimuthal. Fourier components Gm of the Greens function for the Helmholtz equation in three dimensions. In this paper we derive a recurrence relation for the functions Gm and obtain explicit formulae for their partial derivatives. These observations significantly reduce the complexity of the computation of the scattered fields generated by axisymmetric scatterers.
APPROVED FOR PUBLIC RELEASE