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Integral equation methods from grating theory to photonics: an overview and new approaches for conical diffraction. (English) Zbl 1221.78050

In the present paper, the boundary integral equation method is used for the investigation of diffraction gratings of different kinds as well as for photonic crystal diffraction gratings. The main settings are a conical mounting with one profile and separated multilayer gratings with photonics inclusions. In the final part of this paper, numerical experiments illustrate the abstract results. In particular, the transmission for conical incidence is studied at a blazed grating with large period-to-wavelength ratio.

MSC:

78M15 Boundary element methods applied to problems in optics and electromagnetic theory
65R20 Numerical methods for integral equations
78A45 Diffraction, scattering
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