GREENS-FUNCTION FOR ARBITRARILY-SHAPED DIELECTRIC BODIES OF REVOLUTION

In this paper, a solution is developed to calculate the electric field at one point in space due to an electric dipole exciting an arbitrari ly shaped dielectric body of revolution (BOR). Specifically, the elect ric field is determined from the solution of coupled surface integral equations (SIE) for the induced surface electric and magnetic currents on the dielectric body excited by an elementary electric current dipo le source. Both the interior and exterior fields to the dielectric BOR may be accurately evaluated via this approach. For a highly lossy die lectric body, the numerical Green's function is also obtainable from a n approximate integral equation (AIE) based on a surface boundary cond ition. If this equation is solved by the method of moments, significan t numerical efficiency over SIE is realized. Numerical results obtaine d by both SIE and AIE approaches agree with the exact solution for the special case of a dielectric sphere. With this numerical Green's func tion, the complicated radiation and scattering problems in the presenc e of an arbitrarily shaped dielectric BOR are readily solvable by the method of moments.