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Diffraction in the high frequency regime by a thin layer of dielectric material. I: The equivalent impedance boundary condition. (English) Zbl 0959.78009

Using the technique of pseudodifferential calculus the author introduces an impedance boundary condition which locally replaces a thin layer of material with dielectric absorbing constants. This condition is a generalization of the well-known Leontovich impedance condition and takes into account the curvature of the body and the angle of incidence of the incident wave.

MSC:

78A45 Diffraction, scattering
35S15 Boundary value problems for PDEs with pseudodifferential operators
35Q60 PDEs in connection with optics and electromagnetic theory
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