High-order effective-medium theory of subwavelength gratings in classical mounting: application to volume holograms
High-order effective-medium theory of subwavelength gratings in classical mounting: application to volume holograms
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DOI：
10.1364/josaa.15.001843
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发表时间：
1998-07-01
影响因子：
1.9
通讯作者：
Hugonin, JP
中科院分区：
文献类型：
--
作者：
Lalanne, P;Hugonin, JP
我们推导出封闭形式的表达式的有效折射率的亚波长光栅的四阶和二阶TE和TM偏振，分别。这些表达式是有效的任意光栅结构，是一个概括的层状光栅与一个凹槽每个周期（通常称为一个结构的两个组件分层介质）以前的结果。有效介质理论的预测仔细验证与精确的电磁理论倾斜和非倾斜正弦调制体光栅和经典安装。它示出，即使对于大的周期波长比附近的截止值，形式的双折射准确地预测在任何角度的入射。(C)1998年美国光学学会。
We derive closed-form expressions for the effective index of subwavelength gratings up to the fourth and the second order for TE and TM polarization, respectively. These expressions are valid for arbitrary grating structures and are a generalization of previous results obtained for lamellar gratings with one groove per period (a structure often called a two-component layered medium). The effective-medium-theory predictions are carefully validated with exact electromagnetic theories for slanted and unslanted sinusoidally modulated volume gratings and for classical mounting. It is shown that, even for large period-to-wavelength ratios near the cutoff value, the form birefringence is accurately predicted at any angle of incidence. (C) 1998 Optical Society of America.