The method of integral equation for scattering problem with a mixed crack |
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| Authors: | Guozheng Yan |
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| Institution: | Faculty of Mathematics and Statistics, Central China Normal University, Wuhan 430079, P.R. China |
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| Abstract: | We consider the scattering of an electromagnetic time‐harmonic plane wave by an infinite cylinder having a mixed open crack (or arc) in R2 as the cross section. The crack is made up of two parts, and one of the two parts is (possibly) coated by a material with surface impedance λ. We transform the scattering problem into a system of boundary integral equations by adopting a potential approach, and establish the existence and uniqueness of a weak solution to the system by the Fredholm theory. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | Helmholtz equation scattering problem boundary integral equation |
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