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Guided-mode resonances in planar dielectric-layer diffraction gratings

โœ Scribed by Wang, S. S.; Magnusson, R.; Bagby, J. S.; Moharam, M. G.


Book ID
115386848
Publisher
Optical Society of America
Year
1990
Tongue
English
Weight
496 KB
Volume
7
Category
Article
ISSN
1084-7529

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โœฆ Synopsis


The guided-mode resonance behavior of the evanescent and propagating fields associated with an unslanted, planar diffraction grating is studied by means of the rigorous coupled-wave theory. For weakly modulated gratings, the condition on the guided-mode wave number of the corresponding unmodulated dielectric-layer waveguide may be used to predict the range of the incident angle or wavelength within which the resonances can be excited. Furthermore, the locations of the resonances are predicted approximately by the eigenvalue equation of the waveguide. As the modulation amplitude increases, the location and shape of the resonances are described in detail by the rigorous coupled-wave theory. The results presented demonstrate that the resonances can cause rapid variations in the intensity of the external propagating diffracted waves.


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## Abstract A single integralโ€equation formulation based on multilayered media Green's functions is presented and applied to 2โ€D dielectric grating problems. Its advantage over previous formulations based on freeโ€space Green's functions is that, here, the unknowns appear only on the surfaces of the