Adapting the method of analytical regularization to computational wave optics: Brief overview

The method of analytical regularization (MAR) is the conversion of electromagnetic field problems to the Fredholm second kind integral equations (IEs) and finally to the Fredholm second-kind infinite-matrix equations. It is still underestimated in computational optics and photonics despite many remarkable merits, which we discuss taking into account specific features of material properties of metals and dielectrics in the visible range and graphene in THz and infrared ranges. In these ranges, perfect electrical conductors (PEC) cannot be used to approximate realistic scatterers. Therefore the most reliable computational instrument is the Muller IE for a penetrable body. It is also possible to modify the solutions based on MAR, previously developed in the scattering by PEC zero-thickness screens, to analyze thinner-than-wavelength material screens: resistive, dielectric, and impedance. This opens a way for a numerically exact analysis of not only the scattering but also the absorption of THz and optical waves by the penetrable and impenetrable scatterers made of graphene, dielectrics and metals.