Lattice sums for off-axis electromagnetic scattering by gratings.
Lattice sums for off-axis electromagnetic scattering by gratings.
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光栅离轴电磁散射的晶格和。
DOI：
10.1103/physreve.50.3143
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发表时间：
1994
期刊：
影响因子：
--
通讯作者：
McPhedran
中科院分区：
文献类型：
--
作者：
Nicorovici;McPhedran
我们考虑了格林函数的空间域和谱域形式，适用于在沿x轴取向的单周期结构或光栅上以xy平面一般角度入射的平面波的电磁衍射。我们将格林函数的空间形式和光谱形式等同起来，从而建立了斜入射下光栅点阵和的表达式。我们还得到了格和之间的一组恒等式。我们在格林函数的表达式中使用这些格和，我们证明了它的计算速度很快，如果需要知道这个函数在几个点上的值，对于小的y值。
We consider both the spatial domain and spectral domain forms of the Green’s function, appropriate in the electromagnetic diffraction of a plane wave incident at a general angle in the xy plane on a singly periodic structure, or grating, oriented along the x axis. We equate the spatial and spectral forms of the Green’s function, and so establish expressions from which grating lattice sums can be evaluated for oblique incidence. We also obtain a set of identities among the lattice sums. We use these lattice sums in an expression for the Green’s function, which we show to be computationally fast, if knowledge of this function at several points is required, for small values of y.