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Pseudodecoupling ansatz for electromagnetic aperture coupling in three dimensions
Author(s) -
Ziolkowski Richard W.,
Johnson William A.
Publication year - 1987
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/rs022i002p00169
Subject(s) - ansatz , boundary value problem , scattering , electromagnetic field , coupling (piping) , maxwell's equations , aperture (computer memory) , physics , homogeneous , mathematical analysis , gauge (firearms) , enhanced data rates for gsm evolution , electromagnetic radiation , boundary (topology) , classical mechanics , optics , mathematics , quantum mechanics , acoustics , statistical physics , computer science , telecommunications , mechanical engineering , archaeology , history , engineering
Hertzian potentials are commonly used to describe the scattering of electromagnetic waves in three dimensions. However, when apertures are present in the scattering object, mixed boundary conditions arise and the TE and TM modes of the scattered field become coupled. Numerous attempts to decouple these TE and TM modes have led to solutions of Maxwell's equations which fail to satisfy Meixner's edge conditions. It has been found that by introducing additional gauge potentials which are homogeneous solutions of the boundary condition equations, a pseudodecoupling of the TE and TM modes can be achieved while still satisfying Meixner's edge conditions.

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