Accession Number : ADA288775
Title : On the Azimuthal Fourier Components of the Green's Function for the Helmholtz Equation in Three Dimensions.
Descriptive Note : Research rept.,
Corporate Author : YALE UNIV NEW HAVEN CT DEPT OF COMPUTER SCIENCE
Personal Author(s) : Matviyenko, Gregory
PDF Url : ADA288775
Report Date : 09 DEC 1994
Pagination or Media Count : 16
Abstract : Many algorithms that compute acoustic or electromagnetic fields scattered by surfaces of revolution require fast evaluation of the azimuthal. Fourier components Gm of the Green's 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.
Descriptors : *ELECTROMAGNETIC FIELDS, *ELECTROMAGNETIC SCATTERING, *GREENS FUNCTIONS, *FOURIER ANALYSIS, TEST AND EVALUATION, ALGORITHMS, COMPUTATIONS, AXISYMMETRIC, DIFFERENTIAL EQUATIONS, AZIMUTH, ACOUSTIC FIELDS.
Subject Categories : Electricity and Magnetism
Distribution Statement : APPROVED FOR PUBLIC RELEASE