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Transverse electric wave scattering by two‐dimensional surfaces of arbitrary shape in the presence of a wedge
Author(s) -
Zheng Dalian,
Michalski Krzysztof A.,
Crowell Kelly J.,
Nevels Robert D.
Publication year - 1990
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/rs025i005p00721
Subject(s) - wedge (geometry) , eigenfunction , transverse plane , physics , lorentz transformation , integral equation , electric field , scattering , lorenz gauge condition , coulomb , mathematical analysis , plane wave , quantum electrodynamics , gauge fixing , mathematics , gauge theory , classical mechanics , optics , eigenvalues and eigenvectors , quantum mechanics , gauge boson , structural engineering , engineering , electron
Two forms of the so‐called mixed‐potential electric field integral equation (MPIE) are developed for two‐dimensional, perfectly conducting (PC) surfaces of arbitrary shape in the presence of an infinite, PC wedge, subject to transverse electric excitation. One of the MPIEs is based on the Coulomb gauge while the other employs the Lorentz gauge. In either case the effect of the wedge is incorporated in the integral equation by means of the appropriate Green's functions, leaving the current distribution on the arbitrary surface as the only unknown. The Green's functions are derived by the eigenfunction expansion technique. A well‐established moment method procedure is adapted to numerically solve both forms of the MPIE. Computed results are presented for several cases of interest, and the relative merits of the Coulomb and Lorentz gauge MPIEs are discussed.