Boundary Integral Methods for Periodic Scattering Problems

  • Gunther Schmidt
Part of the International Mathematical Series book series (IMAT, volume 12)


The paper is devoted to the scattering of a plane wave obliquelyilluminating a periodic surface. Integral equation methods lead to a systemof singular integral equations over the profile. Using boundary integral techniques, we study the equivalence of these equations to the electromagneticformulation, the existence and uniqueness of solutions under general assumptions on the permittivity and permeability of the materials. In particular,new results for materials with negative permittivity or permeability are established.


Integral Equation Singular Integral Equation Boundary Integral Equation Helmholtz Equation Fredholm Operator 
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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Weierstrass Institute of Applied Analysis and StochasticsBerlinGermany

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