Scattering of TE Wave on Screened Pre-Cantor Grating Based on Hypersingular Integral Equations

摘要

In this paper a diffraction problem of a plane E-polarized wave on screened pre-Cantor grating is considered. A discrete mathematical model of this diffraction problem has been developed with the help of the specific quadrature formulas with the nodes in the nulls of Chebyshev polynomials. Using the parametric representations of hypersingular integral operator and integral operator with logarithmic singularity in the kernel, a hypersingular integral equation has been proposed. Besides, an effective discrete singularities method which has been applied to the numerical experiment of developed mathematical model has been proved to be one of the most efficient ways to solve such type of diffraction problems.