Parallel Mom Solution of Jmcfie for Scattering by 3-D Electrically Large Dielectric Objects

Abstract

Abstract-In this paper, we apply the parallel method of moments (MOM) to solve the Electric and Magnetic Current Combined Field Integral Equation (JMCFIE) for scattering by large, three-dimensional (3-D), arbitrarily shaped, homogeneous dielectric objects. We first derive the JMCFIE formulation which produces well-conditioned matrix equation when the MOM with Galerkin's type testing and RaoWilton-Glisson (RWG) functions is applied. We then develop a parallel conjugate gradient (CG) method on personal computer (PC) clusters using message passing interface (MPI) for solving the matrix equation obtained with JMCFIE. The matrix is decomposed by the row and stored in distributed memory of the node. Several numerical results are presented to demonstrate the accuracy and capability of the proposed method.

A computational method for modeling arbitrary junctions employing different surface integral equation formulations for three-dimensional scattering and radiation problems

“…The parameters in (A7) which allow to obtain the five considered formulations can be consulted in Table A1. These formulations are known as Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) [16][17][18][19], combined tangential formulation (CTF) [14,19], combined normal formulation (CNF) [14,19], modified normal Müller formulation (MNMF) [20], and electric and magnetic current combined-field integral equation (JMCFIE) [9,[21][22][23][24]. Further formulation collections which incorporate other stable formulations can be consulted in [15,19,25,26].…”

Acceleration Techniques for Analysis of Microstrip Structures

“…Achievements of computer technology allow different ways to speed up calculation of electromagnetic problems. For example Cui et al in [13] and Jobava et al in [14] applying MoM to PC clusters for calculation correspondently of scattering by large 3D objects and currents distribution. Ergul and Gurel in [15] also use computer cluster to solve scattering problems.…”

Implicit Space Mapping Applied to the Synthesis of Antenna Arrays

“…The accurate calculation and fast optimization for array synthesis can be made as a result of the rapid improvement of the computer's processing performance. In order to calculate the radiation more accurately and take into account the element coupling (mutual coupling between elements), some numerical methods such as the method of moments (MoM) [4][5][6], the finite difference time domain (FDTD) and the finite element method (FEM) [7] are combined with optimization algorithms (e.g., GA, PSO) [8][9][10][11][12]. In spite of this combination, problems for which great computational time is needed to accurately simulate each possible solution remain yet excessively costly.…”