Integral Equation Method For3-D Electromagnetic Modeling In Transverse Isotropic Medium

Compute and analysis on electromagnetic field have gradually developed to havesignificant application in many theoretical and practical fields, since the basic lawswere found. Integral equation method is widely used in3-D electromagnetic fieldnumerical simulation as an important method, and its key to the application is to solvethe corresponding Green function, so the problems on the simulation ofelectromagnetic fields in transverse isotropic medium discussed in this paper involvestwo major problems: the introduction and computation of Green function the integralequation..Theory of transmission line is used in the solution of dyadic Green’s function ofelectromagnetic field in isotropic medium, first of all, Maxwell’s equations areconvert by Fourier transform from spatial domain into frequency domain, we get twosets of scalar transmission line equations which are independent to be solved, then thesolutions are transformed to get the solution of dyadic Green’s function in spatialdomain by inverse Fourier transformation in form of Sommerfeld integrals. We useiteration method to solve the integral equations in order to reduce computation timeand memory footprint. In this paper we introduce point iteration method and blockiteration method. Contraction operator is introduced to ensure the convergence of theiteration in arbitrary conductivity and frequency distribution. Numerical simulationresults show that the anisotropy increases the scattering of electromagnetic field byabnormal bodies, varies of internal resistance with space of the abnormal body cancause changes of symmetry of electromagnetic response curves.