DEVELOPMENT OF APPROXIMATIONS FOR A FAST-METHOD OF MOMENTS TECHNIQUE BASED ON NORMAL MODES

A FAST NEW APPROXIMATION FOR THE METHOD OF MOMENTS SOLUTION OF ELECTROMAGNETIC RESPONSE PROBLEMS IS PROPOSED. THE NEW APPROACH IS BASED ON SEPARATION OF THE PROBLEM INTO A GLOBAL RESPONSE SET DEPENDENT ON NORMAL MODES, AND A LOCAL RESPONSE DEPENDENT ON GEOMETRICAL OPTICS. THE EFFORTS OF NEGLECTING THE LOCAL RESPONSE TERM ALONG WITH OTHER APPROXIMATIONS WILL BE INVESTIGATED TO QUALITFY THE RESULTING ERROR AND PERFORMANCE. THIS NEW TECHNIQUE IS EXPECTED TO BE AS MUCH AS 1000 TIMES FASTER THAN CONVENTIONAL METHOD-OF-MOMENTS FORMULATIONS FOR TYPICAL PROBLEMS. THE FEASIBILITY OF EXTENDING THIS APPROACH TO MORE COMPLEX GEOMETRIES AND TO HYBRID SOLUTION TECHNIQUES, WHERE THE FAST RESPONSE SOLUTION IS OVERLAID INTO ANOTHER SOLUTION TECHNIQUE SUCH AS A NON-LINEAR FINITE DIFFERENCE COMPUTATION, WILL BE EVALUATED.