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.


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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