Effective method to solve the diffraction on periodical surface problems

This report presents the continuation and development of previous works devoted to the diffraction on periodic surfaces. It has been proposed that an effective method to solve this problem in the two-dimensional case, based on the nonstandard application of conformal mapping, is the quasistatic Green function method (QGFM). The QGFM has been improved and the problem has been reduced to the unified system of linear algebraic equations. In this report a method of evaluation of the matrix coefficient of this system is proposed.