Calculation of impedance of a sharp plasma boundary with a mixed-type electron scattering in anomalous skin-effect conditions

Some aspects of calculation of impedance change caused by oblique incidence of electromagnetic wave on a sharp plasma boundary with mixed-type electron scattering in anomalous skin effect (ASE) conditions are considered. Though the corresponding Riemann-Hilbert boundary problem can be reduced to the integral equations of the Fredholm type, formal limit transition to extreme ASE causes kernels singularity. The transformation of the equations to ones with bounded kernels is made by means of partial inversion of the integral operator.