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Journal Articles SIAM Journal on Control and Optimization Year : 2002

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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Dates and versions

hal-01205880 , version 1 (29-09-2015)
hal-01205880 , version 2 (14-02-2017)

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Cite

Gang Bao, David Dobson, Karim Ramdani. A constraint on the maximum reflectance of rapidly oscillating dielectric gratings. SIAM Journal on Control and Optimization, 2002, 40 (6), pp.1858-1866. ⟨10.1137/S036301290037435X⟩. ⟨hal-01205880v2⟩

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