Scattering by buried dielectric objects: volumetric integral equation approach

The application of the volumetric integral equation (VIE) method to the solution of the problem of scattering from a three-dimensional object buried in a dielectric half-space is outlined. The VIE method described and applied in this paper is basically an extension of that proposed by Richmond and originally applied to dielectric bodies in free space. The approximate solution of the integral equation for the total electric field is performed by discretizing the dielectric body and reducing the equation itself to a linear system. The computation of the coefficients of this latter system involves the evaluation and multiple integration of the suitable dyadic Green´s function. Through some analytical considerations and the use of efficient automatic integrators, a computational time reduction is obtained