Computationally efficient solution for finding the current density on the illuminated and shadow sides of an infinitely thin circular disk

Background. The article is devoted to the development of a computationally efficient numerical solution to the diffraction problem on an infinitely thin ideally conducting circular disk. The main attention is paid to the problem of finding the distribution of the surface current density on each side of the disk separately, which has remained undiscovered in other well-known studies. The aim of this paper is to eliminate this disadvantage by forming a computationally efficient algorithmic solution based on the method of moments and allowing numerically to set a smooth approximation of the surface current density on the illuminated and shadow sides of an infinitely thin ideally conducting circular disk.