NDLI: Matched asymptotic expansion for the low-frequency scattering by a semi-circular trough in a ground plane

Content Provider	IEEE Xplore Digital Library
Author	Scharstein, R.W. Davis, A.M.J.
Copyright Year	1963
Abstract	Plane wave scattering by an electrically small circular trough cut in an infinite ground plane is solved analytically for both the TM and TE polarizations. A quasi-static solution for the inner field based upon a transformation to bipolar coordinates exploits the failure of the narrow trough to react to the detailed wave nature of the incident field and forms the starting point for the method of matched asymptotic expansions. The distant behavior of the inner field must agree with the near behavior of the outer field, which is a radiative solution of the Helmholtz equation. In addition to yielding several analytic terms of the solution in low-order powers and the logarithm of the trough wave size k/spl alpha/ the matching process provides an account of the interplay between all of the physical parameters.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	801
Ending Page	811
Page Count	11
File Size	325503
File Format	PDF
ISSN	0018926X
Volume Number	48
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2000-05-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Electromagnetic scattering Radar scattering Tellurium Integral equations Dielectrics Fourier series Convergence Polarization Electromagnetic analysis
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

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