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	Group-theoretic approach to enhancing the Fourier modal method for crossed gratings with hexagonal symmetry
	Bai, BF ; Li, LF
	2010-05-10 ; 2010-05-10
关键词	EXTRAORDINARY OPTICAL-TRANSMISSION SUBWAVELENGTH HOLE ARRAYS 2-DIMENSIONAL GRATINGS FORMULATION Optics
中文摘要	The Fourier modal method for crossed gratings with hexagonal symmetry (i.e. the symmetry possessed by a hexagon) is reformulated with a group-theoretic approach that we developed recently. In the new formulation, a crossed-grating problem is first decomposed into eight so-called symmetrical basis problems whose field distributions are the symmetry modes (four non-degenerate and the other four doubly degenerate) of the grating. Then by using the symmetry relations of the symmetry modes, we solve the symmetrical basis problems with simplification and superpose their solutions to get the solution of the original problem. It is shown that when the grating is at the (-2s, -2t)th Littrow mountings (s and t are both integers), the memory occupation in computation can be saved by 5/6 and the total computation cost is reduced to 1/48, 1/50.8, or 1/108 of the original one, depending on the incident angles. Numerical examples are given to show the effectiveness of the new formulation and verify the highly improved computational efficiency.
语种	英语 ; 英语
出版者	TAYLOR & FRANCIS LTD ; ABINGDON ; 4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/24592]
专题	清华大学
推荐引用方式 GB/T 7714	Bai, BF,Li, LF. Group-theoretic approach to enhancing the Fourier modal method for crossed gratings with hexagonal symmetry[J],2010, 2010.
APA	Bai, BF,&Li, LF.(2010).Group-theoretic approach to enhancing the Fourier modal method for crossed gratings with hexagonal symmetry..
MLA	Bai, BF,et al."Group-theoretic approach to enhancing the Fourier modal method for crossed gratings with hexagonal symmetry".(2010).

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