Wave Scattering by Sparsely Filled Flat Pre Fractal Grating of Impedance Strips

The problem of the plane electromagnetic wave scattering by flat pre-fractal impedance strips' gratings is examined. For these purpose mathematical models in the form of the first kind singular integral equation systems are used. Considerable attention is focused on asymptotic model of the H-polarized electromagnetic wave scattering by sparsely filled grating, which has explicit solution. Scattered electromagnetic field in the far-zone is considered in details.