The H-polarized plane wave scattering by the infinite double-layer strip grating with several strips removed in every layer is considered. The scattered field is represented as a sum of the field of currents on the ideally periodic double-layer grating and field of correction currents excited due to the absence of strips. The Fourier amplitudes of these fields are obtained from the singular integral equation with additional conditions. The solution is rigorous. Numerical results for the near and far fields are presented.

中文翻译：

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双层无限条光栅每层去除数条光栅散射奇异积分方程的方法

考虑了每层去除若干条带的无限双层条带光栅的H偏振平面波散射。散射场表示为理想周期性双层光栅上的电流场和由于没有条带而激发的校正电流场的总和。这些场的傅立叶振幅是从具有附加条件的奇异积分方程中获得的。解决办法很严格。给出了近场和远场的数值结果。