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Inverse scattering for an exterior Dirichlet problemScattering caused by a metallic cylinder in the field of a wire carrying a periodic current is studied, with a view to determining the location and shape of the cylinder in light of far field measurements between the cylinder and the wire. The associated direct problem is the exterior Dirichlet problem for the Helmholtz equation in two dimensions, and an improved low frequency estimate for its solution by integral equation methods is shown by inverse scattering calculations to be accurate to this estimate. The far field measurements are related to low frequency boundary integral equations whose solutions may be expressed in terms of a mapping function for the exterior of the unknown curve onto the exterior of a unit disk. The conformal transformation's Laurent expansion coefficients can be related to those of the far field, the first of which leads to the calculation of the distance between the source and the cylinder, while the other coefficients are determined by placing the source in a different location.
Document ID
19830029276
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Hariharan, S. I.
(Institute for Computer Applications in Science and Engineering Hampton, VA, United States)
Date Acquired
August 11, 2013
Publication Date
October 1, 1982
Publication Information
Publication: Quarterly of Applied Mathematics
Volume: 40
Subject Category
Physics (General)
Accession Number
83A10494
Funding Number(s)
CONTRACT_GRANT: NAS1-16394
CONTRACT_GRANT: NAS1-15810
Distribution Limits
Public
Copyright
Other

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