Iterative Multiregion Research Articles

Time-Domain Iterative Multiregion Technique for 3-D Scattering and Radiation Problems

Integration of the finite-difference time-domain (FDTD) method into the iterative multiregion (IMR) technique, an iterative approach used to solve large-scale electromagnetic scattering and radiation problems, is presented in this paper. The idea of the IMR technique is to divide a large problem domain into smaller subregions, solve each subregion separately, and combine the solutions of subregions after introducing the effect of interaction to obtain solutions at multiple frequencies for the large domain. Solutions of the subregions using frequency domain solvers has been the preferred approach as such; solutions using time domain solvers require computationally expensive bookkeeping of time signals. In this paper, we present an algorithm that makes it feasible to use the FDTD method, a time domain numerical technique, in the IMR technique to obtain solutions at a prespecified number of frequencies in a single simulation. A hybrid method integrated into the IMR technique is also presented in this paper. This hybrid method combines the desirable features of the FDTD method and the method of moments (MoM) to solve radiation problems more efficiently. As a result, a considerable reduction in memory storage requirements and computation time is achieved.

A generalized iterative multiregion technique to solve the nonhomogeneous electromagnetic wave equation

AbstractThis article presents a generalization of the iterative multiregion technique applied in solving the nonhomogeneous wave equation. A formal proof that this procedure converges independently of the numerical method applied to each sub‐domain and an error estimate are presented by applying the iterative method directly on the electromagnetic governing equations. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 1921–1926, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.22629

Electromagnetic Scattering Using the Iterative Multiregion Technique

In this work, an iterative approach using the finite difference frequency domain method is presented to solve the problem of scattering from large-scale electromagnetic structures. The idea of the proposed iterative approach is to divide one computational domain into smaller subregions and solve each subregion separately. Then the subregion solutions are combined iteratively to obtain a solution for the complete domain. As a result, a considerable reduction in the computation time and memory is achieved. This procedure is referred to as the iterative multiregion (IMR) technique. Different enhancement procedures are investigated and introduced toward the construction of this technique. These procedures are the following: 1) a hybrid technique combining the IMR technique and a method of moment technique is found to be efficient in producing accurate results with a remarkable computer memory saving; 2) the IMR technique is implemented on a parallel platform that led to a tremendous computational time saving; 3) together, the multigrid technique and the incomplete lower and upper preconditioner are used with the IMR technique to speed up the convergence rate of the final solution, which reduces the total computational time. Thus, the proposed iterative technique, in conjunction with the enhancement procedures, introduces a novel approach to solving large open-boundary electromagnetic problems including unconnected objects in an efficient and robust way. Contents: Basics of the FDFD Method / IMR Technique for Large-Scale Electromagnetic Scattering Problems: 3D Case / IMR Technique for Large-Scale Electromagnetic Scattering Problems: 2D Case / The IMR Algorithm Using a Hybrid FDFD and Method of Moments Technique / Parallelization of the Iterative Multiregion Technique / Combined Multigrid Technique and IMR Algorithm / Concluding Remarks / Appendices

Plane Wave Scattering From Three Dimensional Multiple Objects Using the Iterative Multiregion Technique Based on the FDFD Method

An iterative approach using the finite difference frequency domain method is presented in this paper in order to solve the problem of scattering from large three-dimensional electromagnetic scatterers. The idea of iterative multiregion technique is introduced to divide one computational domain into smaller subregions and solve each subregion separately. Then the subregion solutions are combined iteratively to obtain a solution for the complete domain. As a result, a considerable reduction in the computation time and memory has been achieved.

Iterative multiregion technique for large‐scale electromagnetic scattering problems: Two‐dimensional case

One of the methods to solve large electromagnetic problems is to divide the computational domain into smaller subregions and solve each subregion separately. Then the subregion solutions are combined to obtain a solution for the complete domain. In this paper, an iterative approach using the finite difference frequency domain method is presented to solve the problems that can be divided into separated subregions.