23 July 1993 Anomalous behaviour of reflecting diffraction gratings for Te and Tm polarizations
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Proceedings Volume 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology; 198370 (1993) https://doi.org/10.1117/12.2308671
Event: 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 1993, Budapest, Hungary
Abstract
The periodic structures with anisotropic materials have been interested in the integrated optics and a few ap- proaches have been devoted to the anisotropic dielectric gratings. We previously reported a rigorous method 1 formulated in the matrix differential equations for the anisotropic dielectric gratings. However this rigorous method costs us large memory capacity and long calculation time because of the huge size of the coupling matrix to describe the gratings consisting of anisotropic media. In this paper an economical numerical method is proposed for ana- lyzing anisotropic gratings by using eigenvalue problems of the coupling matrix. The dielectric tensors describing completely anisotropic media may be generally able to have independent matrix elements. However we seldom or never come across such a grating with completely anisotropic tensors in the region of optical wavelength. Therefore we classify the anisotropic tensor into three categories, Equatorial, Longitudinal and Polar types. Then we propose an economical numerical method for the dielectric gratings with the three types of the permittivity tensor, where the matrix size of the differential equations describing the anisotropic gratings reduce by half or quarter. This method is very convenient to save the computation cost without a decline in the calculated accuracy, and also useful to make the physical meaning of the coupling matrix clear.
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Silvia A. Ledesma, "Anomalous behaviour of reflecting diffraction gratings for Te and Tm polarizations", Proc. SPIE 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 198370 (23 July 1993); doi: 10.1117/12.2308671; https://doi.org/10.1117/12.2308671
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