Modifications of the Integral Equation Technique in the Modeling of the Plane EM Wave Scattering by a Flat Impedance Strips' Grating

Two different modifications of the integral equation technique are presented for correct modeling of the plane electromagnetic wave scattering by flat grating of finite number of impedance strips. The first modification is reworked to examine the plane E-polarized wave scattering problem. The second modification is reworked to studying of the plane H-polarized wave scattering problem. These modifications give the possibility to rework full-wave flat impedance strips gratings theory. Considerable attention is focused on asymptotic models of the plane EM wave scattering by sparsely filled pre-fractal strip grating. In that case corresponding integral equations' systems have explicit solutions. Scattered electromagnetic field in the far-zone can be successfully analyzed on the base of the asymptotic electrically narrow strip models.