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A constraint on the maximum reflectance of rapidly oscillating dielectric gratings

Abstract : When considering optimal design problems involving diffraction gratings, it is useful to have some a priori characterization of the range of possible reflectances one can achieve for given material parameters. Here we consider the limiting case of a rapidly oscillating dielectric grating and show that such gratings can have reflectance no greater than that of a flat interface, regardless of the shape of the grating interface.
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Gang Bao, David Dobson, Karim Ramdani. A constraint on the maximum reflectance of rapidly oscillating dielectric gratings. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2002, 40 (6), pp.1858-1866. ⟨10.1137/S036301290037435X⟩. ⟨hal-01205880v2⟩

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