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On the spectral expansion of the electric and magnetic dyadic Green's functions in cylindrical harmonics
Author(s) -
Pearson L. Wilson
Publication year - 1983
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs018i002p00166
Subject(s) - solenoidal vector field , harmonics , spherical harmonics , mathematical analysis , cartesian coordinate system , cylindrical coordinate system , mathematics , term (time) , spherical coordinate system , prolate spheroidal coordinates , cylindrical harmonics , harmonic function , function (biology) , spin weighted spherical harmonics , physics , geometry , orthogonal coordinates , orthogonal polynomials , quantum mechanics , voltage , classical orthogonal polynomials , gegenbauer polynomials , evolutionary biology , biology , vector field
The expansions of the electric and magnetic dyadic Green's functions are constructed in terms of the solenoidal Hansen vector wave functions in cylindrical coordinates. A static term is shown to arise in the course of conducting the radial spectral integral. This pole term has apparently not been identified in previously published expansions and is similar to recently identified static terms in Cartesian and spherical wave function expansions. The integration in the longitudinal spectral variable is considered, too, and forms which offer two alternative integration paths are constructed.