A surface integral equation method for EM modelling

Abstract

Since the early seventies, integral equations have been used in solving the boundary value problems that arise in the course of using either natural or artificial EM fields for studying earth structure. However the use of thick-body surface integral equation (SIE) techniques, in which the effect of a scatterer is represented by a surficial distribution of tangential electric and magnetic dipole moment density has been limited. There has been some theoretical treatment given to the method in the Russian literature (Dmitriev and Zakharov 1970; Tabarovsky 1975), but numerical results have been published only by Parry and Ward (1971), and Won and Kuo (1975), who each applied the technique to the case of the excitation of a 2-D body by a 2-D field, though both confined their numerical examples to the E-polarization case (electric field parallel to the conductor axis).