Electromagnetic interaction of a single strip with a plane semi-infinite grating

The problem of interaction of a single strip with a plane semi-infinite grating is considered. It is reduced to a system of operator equations relatively spectral functions of scattered field. Field scattered by the structure may be represented as a superposition of fields with discrete (plane waves) and continuous spectrum (cylindrical wave). So, the kernel-function of the reflection operator may have singularities at the points which correspond to the cut-off frequencies of plane waves. For elimination of singularities in the equations the regularization procedure is performed. Numerical results are presented.