Parallel Method Of Moments Research Articles

Simulation of Airborne Antenna Array Layout Problems Using Parallel Higher-Order MoM

The parallel higher-order Method of Moments based on message passing interface (MPI) has been successfully used to analyze the changes in radiation patterns of a microstrip patch array antenna mounted on different positions of an airplane. The block-partitioned scheme for the large dense MoM matrix and a block-cyclic matrix distribution scheme are designed to achieve excellent load balance and high parallel efficiency. Numerical results demonstrate that the rigorous parallel Method of Moments can efficiently and accurately solve large complex electromagnetic problems with composite structures.

Composite Scattering of a Plasma-Coated Target Above Dispersive Sea Surface by the ADE-FDTD Method

In this letter, the composite scattering of a plasma-coated target above a randomly rough sea surface is investigated by the finite-difference time-domain (FDTD) method with pulsed wave excitation. Both sea water and plasma layer are regarded as isotropic and dispersive media, and they satisfy the Debye model and the Drude model, respectively. The auxiliary differential equation (ADE) technique is incorporated into the FDTD scheme to deal with the dispersive media. To ensure the feasibility of our present method, the scattering of a perfect electrically conducting target without coating above dispersive sea surface by the ADE-FDTD method is compared with the result obtained by the parallel method of moments, which requires an individual run for every frequency of interest. Finally, the normalized radar cross section of a plasma-coated target above rough sea surface is calculated and analyzed for different parameters in detail.

RCS Computation by Parallel MoM Using Higher-Order Basis Functions

A Message-Passing Interface (MPI) parallel implementation of an integral equation solver that uses the Method of Moments (MoM) with higher-order basis functions has been proposed to compute the Radar Cross-Section (RCS) of various targets. The block-partitioned scheme for the large dense MoM matrix is designed to achieve excellent load balance and high parallel efficiency. Some numerical results demonstrate that higher-order basis in this parallelized scheme is more efficient than the conventional RWG method and able to efficiently analyze RCS of various electrically large platforms.

Solution of CFIE-JMCFIE Using Parallel MOM for Scattering by Dielectrically Coated Conducting Bodies

In this paper, we apply the parallel method of moments (MOM) to solve CFIE-JMCFIE for scattering by three-dimensional (3-D) conducting bodies of arbitrary shape coated with dielectric material. We first derive the CFIE-JMCFIE formulation, in which the traditional combined field integral equation (CFIE) is applied to conducting surface and the electric, and magnetic current combined field integral equation (JMCFIE) is applied to the interface between the dielectric material coating and external medium. 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 CFIE-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.

Analysis of a Large Scale Narrow–Wall Slotted Waveguide Array by Parallel MoM Out-of-Core Solver using the Higher Order Basis Functions

A large scale low-profile traveling-wave narrow-wall slotted waveguide array with 2160 slots is analyzed by parallel method of moments (MoM) out-of-core solver based on the higher order basis functions (HOBs). Its accuracy is validated through comparison with the finite element method (FEM) adopted in the commercial software Ansoft HFSS. An out-of-core two-dimensional block-cyclic distribution scheme for the large dense full matrix filling and an out-of-core LU (lower/upper) decomposition matrix equation solver are utilized under the message passing interface (MPI). Numerical results are shown to demonstrate the memory cost effectiveness, time efficiency of the proposed method and its applicability. The method presented in this paper is able to solve challenging realistic problems in large scale.

Numerical Simulations of Electromagnetic Scattering from 2D Rough Surface: Geometric Modeling by Nurbs Surface

An efficient geometric modeling method has been proposed for investigation on the properties of the electromagnetic (EM) scattering from two-dimensional (2D) rough surface. In this approach, the plane surface related to the rough surface is firstly modeled by the non-uniform rational B-spline (NURBS) surface through the computer aided geometric design (CAGD). Then the rough surface is reconstructed with the parameters of the plane surface and its height function. The method of moments (MOM) is adopted to solve the electric field integral equation (EFIE) with the rooftop basis function and line matching technique. Moreover, based on the message passing interface (MPI) platform, the parallel MOM algorithm is presented to reduce the simulation time of a single-processor. The conjugate gradient method (CGM) is developed to solve the matrix equation and parallelized with the impedance matrix divided to different processors by lines according to the property of MPI. The validity of this approach is shown by comparing to the flat triangular patch. Some numerical simulations are also exhibited and analyzed.

Study on 1D large-scale rough surface EM scattering at low grazing incident angle by parallel MOM based on PC clusters

Based on message passing interface (MPI) of the PC clusters, the parallel method of moment (MOM) is first investigated for the electromagnetic (EM) scattering from one-dimensional (1D) large-scale PEC Gaussian rough surface at low grazing incident angle. The conjugate gradient method (CGM) for solving MOM matrix equation is parallelised according to the property of MPI in this work. The parallel computational efficiency and effectivity are then validated by several numerical experiments, in which it is proved that the proposed method supplies a novel technique for solving 1D large-scale rough surface EM-scattering problem. Finally the influences of root mean square (rms) height, the correlation length and the polarisation on the bistatic scattering coefficient (BSC) and backscattering coefficients for low grazing incidence are also discussed.

Parallel MoM Using Higher-Order Basis Functions and PLAPACK In-Core and Out-of-Core Solvers for Challenging EM Simulations

Typically, the problem size that can be solved by the Method of Moments (MoM) is limited by the amount of RAM installed in the computer. To reduce the number of unknowns for MoM, higher-order polynomial functions have been introduced as the basis functions. To extend the capability of the MoM code, this paper presents a new development: the use of a new parallel out-of-core solver called PLAPACK. The PLAPACK library package offers benefits that are not available in the more commonly used ScaLAPACK libraries. Numerical results on a typical computer platform for two different challenging electromagnetic problems show that the PLAPACK out-of-core solver introduced here is a very efficient way to deal with large matrix equations. The implementation of these advancements creates a powerful tool for the efficient computational electromagnetic solution of large and complex real-world problems.

Study of MPI based on parallel MOM on PC clusters for EM-beam scattering by 2-D PEC rough surfaces

This paper firstly applies the finite impulse response filter (FIR) theory combined with the fast Fourier transform (FFT) method to generate two-dimensional Gaussian rough surface. Using the electric field integral equation (EFIE), it introduces the method of moment (MOM) with RWG vector basis function and Galerkin's method to investigate the electromagnetic beam scattering by a two-dimensional PEC Gaussian rough surface on personal computer (PC) clusters. The details of the parallel conjugate gradient method (CGM) for solving the matrix equation are also presented and the numerical simulations are obtained through the message passing interface (MPI) platform on the PC clusters. It finds significantly that the parallel MOM supplies a novel technique for solving a two-dimensional rough surface electromagnetic-scattering problem. The influences of the root-mean-square height, the correlation length and the polarization on the beam scattering characteristics by two-dimensional PEC Gaussian rough surfaces are finally discussed.

STUDY ON EM SCATTERING FROM 2-D TARGET ABOVE 1-D LARGE SCALE ROUGH SURFACE WITH LOW GRAZING INCIDENCE BY PARALLEL MOM BASED ON PC CLUSTERS

Abstract—Based on message passing interface (MPI) of the PC Clusters, the parallel method of moment (MOM) is applied to the electromagnetic (EM) scattering from one dimensional (1-D) large scale PEC Gaussian rough surface with two dimensional (2-D) PEC cylinder above it with low grazing incidence. The conjugate gradient method (CGM) for solving MOM matrix equation is parallelized according to the property of MPI in this work. The parallel computational efficiency and validity are shown by several numerical simulations, in which it is proved that the proposed method supplies a novel technique for solving the problem of the composite EM scattering for a 2-D target above 1-D large scale rough surface. Finally, the influences of root mean square (rms) height, the correlation length of the Gaussian surface, the size and the altitude of the cylinder, the polarization on the bistatic scattering coefficient (BSC) for low grazing incidence are also discussed in detail.

Using Parallel Processing as a Computational Tool to Solve Multi-Plate Electromagnetic Scattering Problems

The Parallel Method of Moments (PMoM) technique is used to solve electrically large multi-plate scattering problems. After introducing the PMoM, an integral equation formulation in conjunction with an entire domain Galerkin technique is employed to analyse the multi-plate scattering problem. The resulting algorithm parallelisation enables for the proposed approach to be applied above the resonance region. Numerical results and computational times concerning a specific worked example are presented, using High Performance Computing purely as a computational tool.

Extension of method of moments for electrically large structures based on parallel computations

An integral equation formulation in conjunction with a novel parallel method of moments (PMoM) is proposed to analyze the response of electrically large structures, consisting of conducting or dielectric parts, to a time harmonic excitation. The inherent parallelism of the introduced technique allows for the results to be obtained with minimal addition to the sequential code programming effort. Two indicative electromagnetic compatibility applications are presented, while the applicability/suitability of diverse high performance computing (HPC) platforms is judged, based on both performance obtained and ease of code portation.