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Surface currents induced on a dielectric half‐space by a Gaussian beam: An extended validation for point matching method of moment codes
Author(s) -
Johnson Joel T.
Publication year - 1997
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 - 10.1029/97rs00428
Subject(s) - gaussian beam , moment (physics) , discretization , point set registration , beam (structure) , method of moments (probability theory) , gaussian , integral equation , mathematics , mathematical analysis , scattering , gaussian surface , boundary value problem , surface (topology) , point (geometry) , optics , physics , geometry , electric field , classical mechanics , statistics , quantum mechanics , estimator
An approximate analytical solution for electric surface currents induced on a planar dielectric half‐space by a normally incident Gaussian beam is presented. This solution provides a useful tool for testing discretization methods in point matching moment method codes for penetrable rough surface scattering which use a Gaussian beam “tapered” incident field to avoid edge effects. For one example case illustrated, the surface current solution obtained can be shown to satisfy standard impedance boundary condition integral equations at the beam center to within 0.01% accuracy, and a separation of individual term contributions to the entire integral equation enables a detailed check of moment method discretization procedures to be performed.