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On the expansion of cylindrical vector waves in terms of spherical vector waves
Author(s) -
Pogorzelski R. J.,
Lun E.
Publication year - 1976
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/rs011i010p00753
Subject(s) - vector spherical harmonics , spherical coordinate system , electromagnetic wave equation , physics , cylindrical coordinate system , scattering , wave equation , mathematical analysis , electromagnetic radiation , classical mechanics , vector potential , spherical wave , invertible matrix , mathematics , optics , electromagnetic field , spherical harmonics , optical field , magnetic field , quantum mechanics
An expansion of the nonsingular solutions of the vector wave equation in cylindrical coordinates in terms of the nonsingular solutions of the vector wave equation in spherical coordinates is presented. As an example application of the expansion, the scattering of a particularly simple gaussian beam of electromagnetic radiation by a spherical obstacle is discussed. Both perfectly conducting and dielectric spheres are treated.