Parallel Hybrid Method of HOMoM–MLFMA for Analysis of Large Antenna Arrays on an Electrically Large Platform

The higher order method of moments (HOMoM) with a direct solver is hybridized with the multilevel fast multipole algorithm given the multiscale nature of airborne antenna arrays. The Poggio-Miller-Chang-Harrington-Wu formulation and the combined filed integral equation are solved for modeling metallic/dielectric antennas on a conducting platform. To accelerate the outer iteration between the two algorithms, the lower/upper decomposed matrix in HOMoM is reused and the initial values of current coefficients are properly set. Furthermore, a computational scheme based on the high-performance computing technique is designed to improve the hybrid method. A large model of a 2132-element microstrip array mounted on a 1020-wavelength airplane is accurately simulated.