Natural Regularization of the Kernels of Integral Equations for Currents

The diffraction of electromagnetic waves on a narrow linear slot cut in a bilateral impedance plane is analyzed. The integral equation for surface currents with additive kernel containing Green's functions constructed based on the impedance boundary condition is considered. It was shown by numerical simulation that the Green's functions for this configuration are bounded when source and observation points coincide. Therefore, the equation solution can be obtained without the regularization procedure. Thus, the natural regularization of the integral equation concerning the diffraction problem was substantiated due to using finite values of the surface impedance.