Scattering and diffraction of TM modes on a grating consisting of a finite number of pre-fractal thin impedance strips

In this paper considered of scattering and diffraction of TM modes on a grating consisting of a finite number of pre-fractal thin impedance strips. Boundary hypersingular integral equations have been developed. Therefore, discrete mathematical model of this problem has been constructed and on this base the numerical experiment has been carried out with the help of efficient discrete singularities method.