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Time-harmonic electromagnetic fields in thin chiral curved layers. (English) Zbl 0913.35131

The authors prove uniqueness and existence of the solution to the diffraction problem by a layer of chiral material covering a perfectly conducting medium. Assuming that the thickness of the layer is sufficiently small compared to the wavelength of the incident radiation, there are derived impedance boundary conditions which can be used, along with the radiation condition, to compute the scattered field without requiring detailed modeling of the field quantities inside the chiral coating. This procedure permits accurate numerical calculations of the scattered wave for chiral coatings as in the achiral case. The starting points of this paper are the Maxwell equations and the constitutive relations for the chiral layer.

MSC:

35Q60 PDEs in connection with optics and electromagnetic theory
35C15 Integral representations of solutions to PDEs
31B10 Integral representations, integral operators, integral equations methods in higher dimensions
45B05 Fredholm integral equations
45L05 Theoretical approximation of solutions to integral equations
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