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Symmetries of cross-polarization diffraction coefficients of gratings
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TLDR
An analytical proof is given to show that the observed identity is merely a manifestation of the electromagnetic reciprocity theorem for the 0th-order diffraction of symmetrical gratings.Abstract:
In a recent paper [J. Opt. Soc. Am. A16, 1108 (1999)] Logofǎtu et al. demonstrated by experimental and numerical evidence that the 0th-order cross-polarization (s to p and p to s) reflection coefficients of isotropic, symmetrical, surface-relief gratings in conical mount are identical. Here an analytical proof is given to show that the observed identity is merely a manifestation of the electromagnetic reciprocity theorem for the 0th-order diffraction of symmetrical gratings. The above result is further generalized to bianisotropic gratings, to the 0th-order cross-polarization transmission coefficients, and to the mth-order reflection and transmission coefficients when the wave vector of the incident plane wave and the negative of the wave vector of the mth reflected order are symmetrical with respect to the plane perpendicular to the grating grooves.read more
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References
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Journal ArticleDOI
Identity of the cross-reflection coefficients for symmetric surface-relief gratings
TL;DR: In this paper, the zeroth-order cross-reflection coefficients of a surface-relief grating are shown to be equal from experimental evidence and numerical evidence by use of rigorous coupled-wave analysis simulations.
Journal ArticleDOI
Analysis of planar waveguide grating couplers with double surface corrugations of identical period
TL;DR: In this paper, a planar waveguide grating couplers with double surface corrugations of identical period were analyzed using the ray-optics technique and by using the rigorous diffraction grating theory.
Journal ArticleDOI
The Reciprocity Theorem for Corrugated Surfaces Used in Conical Diffraction Mountings
P. Vincent,M. Nevière +1 more
TL;DR: In this article, the reciprocity theorem for gratings used in classical diffraction is generalized to the case where the incident wave propagates outside the cross-section plane of the grating (conical diffraction).