We consider the scattering of timeβharmonic acoustic plane waves by a crack buried in a piecewise homogeneous medium. The integral representation for a solution is obtained in the form of potentials by using Green's formula. The density in potentials satisfies the uniquely solvable Fredholm integral
The method of integral equation for scattering problem with a mixed crack
β Scribed by Guozheng Yan
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 138 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1466
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β¦ Synopsis
We consider the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having a mixed open crack (or arc) in R 2 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 . 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.
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