Operator method in the problem of wave diffraction by flat semi-infinite strip grating

S. N. Vorobyov
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Abstract

The electromagnetic (EM) wave scattering by a flat semi-infinite grating (SIG) of metal strips is studied by the operator method. The nonlinear equation in terms of the operator of reflection from SIG is built using the translation property of a periodical SIG. The approximate analytical solution at the assumption that strips are narrow and spaced sparsely is obtained by the steepest-descent method. This representation can be used as the initial approach for an iteration procedure of the numerical solution in general case.
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平面半无限条形光栅波衍射问题的算符法
用算子法研究了金属条平面半无限光栅对电磁波的散射。利用周期SIG的平移性质,建立了关于SIG反射算子的非线性方程,并利用最陡下降法得到了假设条带窄且间距稀疏时的近似解析解。一般情况下,这种表示可以作为数值解迭代过程的初始方法。
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