Basic Ideas and Advantages of the Method of Analytical Regularization in Wave Optics: Overview

By the method of analytical regularization (MAR) we understand a family of techniques casting the electromagnetic boundary-value problems to the Fredholm second-kind infinite-matrix equations, with or without intermediate stage of the Fredholm second kind integral equation (IE). This approach possesses many merits however is rarely used in computational optics and photonics. In the optical, infrared and THz ranges, perfect electrical conductor (PEC) condition cannot be used to approximate even noble-metal scatterers. Therefore for thick material bodies the most universal and reliable computational instrument of MAR is Muller boundary IE. Still thinner-than-wavelength material screens can be characterized with effective (i.e. resistive, dielectric, and impedance) boundary conditions, which allow adapting the MAR solutions previously developed in the scattering by PEC zero-thickness screens. In any case MAR enables numerically exact analysis of both the scattering and the absorption of optical, infrared and THz waves by various scatterers made of graphene, dielectrics and metals.