Abstract
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.
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Schmidt, G. (2010). Boundary Integral Methods for Periodic Scattering Problems. In: Laptev, A. (eds) Around the Research of Vladimir Maz'ya II. International Mathematical Series, vol 12. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-1343-2_16
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DOI: https://doi.org/10.1007/978-1-4419-1343-2_16
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