On the analytical regularization method in scattering and diffraction

This chapter describes the principal ideas and more advanced techniques of the analytical regularization method (ARM) and the semi-inversion procedure (SIP) particularly as they apply to the integral and integro-differential equations that arise in scattering and diffraction problems in electromagnetics. The purpose of this chapter is to present a clear and unified treatment of the ARM and SIP approaches that draws on some recent developments using the language of pseudo-differential operators, while clarifying its rigorous application to boundary value problems (BVP) of electromagnetics.