The physical processes of electromagnetic wave scattering from strip gratings permit constructing and employing a number of radiophysical devices, such as phase shifters and polarization rotators, multifrequency filters, antennas of leaky waves and diffractional antennas, etc. In practice it is desirable to replace an expensive breadboard modeling of a device by its adequate mathematical simulation in which results can be obtained with a preset accuracy. The idea of the approach used in this paper consists in decomposing the boundary-value problem operator and isolating the operator of single-strip diffraction, with a subsequent analytical inversion of its singular static part. Currents on the strips are represented as the series in the Chebyshev polynomials with corresponding weight functions for the E-polarization, i.e. the solution involves a complete orthogonal normalized basic set which permits a rigorous account in an analytical form of the current (or field) singularities near the edges of each strip. Primary results in investigation of H-polarized wave diffraction by the periodic strip grating by means of this method were obtained in [1,2].
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