Iterative solutions of three-dimensional electric fields and absorbed powers inside a human body illuminated by a horn-antenna annular phased array

The solution of the electromagnetic field induced inside an arbitrarily shaped inhomogeneous dielectric body is very important in a number of applications. This problem involves the electric field integral equation (EFIE) which includes the dyadic Green´s function with the singularity at source points. The conventional method of solving such a two- or three-dimensional problem is to use the moment method. An iterative method, which does not involve the inversion of matrices and only requires a straightforward iteration procedure and is suitable for computer programming, was first introduced by Kaye et al. (1985) to solve the magnetic field integral equation (MFIE) on the surface of a perfectly conducting body illuminated by a plane wave. In the present paper, the authors concentrate on solving the three-dimensional electric field integral equation (EFIE) inside the volume of an irregularly shaped inhomogeneous dielectric body induced by arbitrary incident waves. This iterative technique is used to solve the EFIE for two models. First, a dielectric sphere illuminated by a plane wave is calculated to compare with its exact solution. Then, a realistic three-dimensional irregularly shaped inhomogeneous human body model irradiated by an array of waveguide-horn antennas is computed.