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The diffraction problem for a half plane with different face impedances revisited

dos Santos, A.F ; Lebre, A.B ; Teixeira, F.S

Journal of mathematical analysis and applications, 1989-06, Vol.140 (2), p.485-509 [Periódico revisado por pares]

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Título:
The diffraction problem for a half plane with different face impedances revisited
Autor: dos Santos, A.F ; Lebre, A.B ; Teixeira, F.S
Assuntos: Classical and quantum physics: mechanics and fields ; Classical field theories ; Exact sciences and technology ; Physics
É parte de: Journal of mathematical analysis and applications, 1989-06, Vol.140 (2), p.485-509
Descrição: The problem of the diffraction of an electromagnetic wave by a half plane with different face impedances is dealt with, following a rigorous approach based on the [ L 2 +( R ] 2 theory of systems of Wiener-Hopf equations with piecewise continuous presymbols. The corresponding operator is defined in spaces of physically admissible solutions, the Sobolev spaces H α +( R )× H α−1 +( R ) for α> 1 2 , and its Fredholm characteristics are determined. For 1 2 < α < 1 it is shown that the operators are invertible and their inverses are calculated. In the final section the inverse of a related operator presented by Meister and Speck is also obtained.
Editor: San Diego, CA: Elsevier Inc
Idioma: Inglês

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