E-polarized wave scattering by strip grating

Discusses 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 a 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.