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A Transmission Problem in the Scattering of Electromagnetic Waves by a Penetrable Object

Torres, Rodolfo H.
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Abstract
Layer-potential techniques are used to study a transmission problem arising in the scattering of electromagnetic waves by a penetrable object. The method proposed does not involve the use of the calculus of pseudodifferential operators and hence it can be applied in domains with very little regularity. The solutions are represented as a combination of a curl and a double curl of a single layer-potential operator. The work relies on the important harmonic-analysis tools developed in recent years to study boundary-value problems in domains with minimal regularity assumptions.
Description
This is the published version, also available here: http://dx.doi.org/10.1137/S0036141094267388.
Date
1996-10-05
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Society for Industrial and Applied Mathematics
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Keywords
Maxwell equations, reduced wave equation, layer-potential methods, transmission problems, scattering theory, nonsmooth domains
Citation
Torres, Rodolfo H. "A transmission problem in the scattering of electromagnetic waves by a penetrable object." (1996) SIAM J. Math. Anal., 27(5), 1406–1423. (18 pages). http://dx.doi.org/10.1137/S0036141094267388.
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