Multicoated gratings: a differential formalism applicable in the entire optical region
Multicoated gratings: a differential formalism applicable in the entire optical region
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DOI：
10.1364/josa.72.000839
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发表时间：
1982-07
影响因子：
--
通讯作者：
J. Chandezon;M. Dupuis;G. Cornet;D. Maystre
中科院分区：
文献类型：
--
作者：
J. Chandezon;M. Dupuis;G. Cornet;D. Maystre
本文提出了一种新的多层膜光栅对平面电磁波衍射的理论。它的基本特征在于使用一个坐标系，将所有界面映射到平行平面上。在这个新系统中使用麦克斯韦方程导致具有常系数的微分方程的线性系统，其解通过计算每个介质中的矩阵的本征值和本征向量而获得。通过经典的标准，我们的数值结果已被发现一般是准确的1%以内。严重的数值困难所遇到的高导电金属光栅的微分形式主义完全消失，无论光学区域。此外，我们的计算机代码提供了准确的结果，金属光栅覆盖的许多调制介质涂层或高度调制的光栅。我们给出两种应用。第一个问题是在调制的金属基底上使用介电涂层，以最大限度地减少能量的吸收。相反，第二个描述了使用高度调制的金属光栅来增加这种吸收。
We present a new formalism for the diffraction of an electromagnetic plane wave by a multicoated grating. Its basic feature lies in the use of a coordinate system that maps all the interfaces onto parallel planes. Using Maxwell’s equations in this new system leads to a linear system of differential equations with constant coefficients whose solution is obtained through the calculation of the eigenvalues and eigenvectors of a matrix in each medium. Through classical criteria, our numerical results have been found generally to be accurate to within 1%. The serious numerical difficulties encountered by the previous differential formalism for highly conducting metallic gratings completely disappear, whatever the optical region. Furthermore, our computer code provides accurate results for metallic gratings covered by many modulated dielectric coatings or for highly modulated gratings. We give two kinds of applications. The first concerns the use of dielectric coatings on a modulated metallic substrate to minimize the absorption of energy. Conversely, the second describes the use of highly modulated metallic gratings to increase this absorption.