NDLI: Two-Term Ritz–Galerkin Solution for the Low Frequency Scattering by a Rectangular Trough in a Soft Ground Plane

Content Provider	IEEE Xplore Digital Library
Author	Scharstein, R.W. Keen, J.M. Faircloth, D.L.
Copyright Year	1963
Abstract	An analytic form is derived for the diffracted field that originates when a transverse-magnetic plane-wave excites a rectangular trough cut in a ground plane. The low-frequency analysis is valid for trough apertures that are less than half a free-space wavelength in width. Trough depth is arbitrary. The quasi-static nature of the long wave problem is exploited by approximating the aperture field as a complex superposition of decoupled symmetric and antisymmetric solutions to Laplace's equation in the vicinity of the aperture, subject to Dirichlet boundary conditions. Geometrical contributions to the final algebraic expressions for the two aperture coefficients arise from two sources: A rapidly convergent series governs the aperture interaction with the trough modes and the effect of the half-space is embodied in a small number of terms of low powers in kappaalpha and factors of In kappaalpha.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	1993
Ending Page	2001
Page Count	9
File Size	486347
File Format	PDF
ISSN	0018926X
Volume Number	56
Issue Number	7
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-07-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Frequency Apertures Electromagnetic scattering Laplace equations Boundary conditions Electromagnetic diffraction Tellurium Integral equations Electromagnetic wave polarization variational Aperture diffraction edge condition quasistatic scattering
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

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