Phenomenological theory of filtering by resonant dielectric gratings

被引:67
作者
Fehrembach, AL [1 ]
Maystre, D [1 ]
Sentenac, A [1 ]
机构
[1] Fac Sci & Tech St Jerome, CNRS, UMR 6133, Inst Fresnel, F-13397 Marseille 20, France
来源
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2002年 / 19卷 / 06期
关键词
D O I
10.1364/JOSAA.19.001136
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Using a phenomenological theory of diffraction gratings made by perturbing a planar waveguide allows us to deduce important properties of the sharp filtering phenomena generated by this kind of structure when the incident light excites a guided wave. It is shown that the resonance phenomenon occurring in these conditions acts on one of the two eigenvalues of the Hermitian reflection matrix only As a consequence, we deduce a mathematical expression of the reflectivity and demonstrate that high-efficiency filtering of unpolarized light requires the simultaneous excitation of two uncoupled guided waves. Numerical examples are given. (C) 2002 Optical Society of America.
引用
收藏
页码:1136 / 1144
页数:9
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