A double-vector integral equation method for antenna interaction with photonic band-gap materials

This paper describes a double vector-integral-equation (DOVIE) method for the modeling of antennas on photonic band-gap (PBG) materials. The proposed computational method deals with radiating-elements interacting with periodic structures The method of solution involves two stages of vector integral-equations. The first integral equation formulation is to find the Green´s function for a PBG structure. A spectral-domain moment-method is applied to the second vector integral-equation to determine the fields or currents on the antennas and the associated parameters of interest. A microstrip dipole on a PEG substrate is used to highlight the proposed numerical method.