Analytical solutions of 2D grating diffraction: GSM versus Rayleigh hypothesis

机译：二维光栅衍射的解析解：GSM与瑞利假设

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The complete analytical solution of the diffraction problem of an arbitrary incident wave by a 2D grating of arbitrary k-vectors is provided unider the Rayleigh hypothesis. It is furthermore shown by deriving an analytical solution from the exact Generalized Source Method (GSM) in the limit of small grating amplitude that the Rayleigh and the exact methods lead to the same analytical results. This proves that the results given by the Rayleigh method in the limit of shallow grooves are exact whatever the groove profile.

机译：根据瑞利假设，提供了由任意k矢量的2D光栅对任意入射波的衍射问题的完整解析解。此外，通过从精确的广义源方法（GSM）导出分析解决方案来证明，在小光栅幅度的限制下，瑞利法和精确方法得出的分析结果相同。这证明了瑞利方法给出的在浅沟槽极限范围内的结果是精确的，无论沟槽轮廓如何。

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来源
《Conference on Optical Design and Engineering; Sep 30-Oct 3, 2003; St.Etienne, France》|2003年|p.683-694|共12页
会议地点 St. Etienne(FR)
作者
Alexandre V. Tishchenko;
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作者单位

TSI Laboratory, University Jean Monnet, 42100 Saint-Etienne, France;

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会议组织
原文格式 PDF
正文语种 eng
中图分类无线电电子学、电信技术;
关键词
diffraction grating; analytical solution; rayleigh hypothesis;

机译：衍射光栅;解析解;瑞利假设;

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Analytical solutions of 2D grating diffraction: GSM versus Rayleigh hypothesis

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