Reducing the number of unknowns in the FFT-employed BOR EM scattering problems

Computational Electromagnetic (CEM) techniques have become an indispensable tool in efficient EM modeling, analysis and design process. EM subsurface scattering is a broad field of research with varying degree of complexity. Due level of the obscurity involved in the subsurface scattering investigation, it is therefore considered imperative to explore this problem area of EM for better insight through CEM-based study and models. In this paper, frequency domain CEM techniques are studied which have been tested to provide solution for subsurface scattering problems in terrestrial environments. The development of CEM methods for comparatively more complex problems of scattering from embedded non-metallic inhomogeneity in lossy, rough and layered media remains the focus of this article. The objective here is to provide an overview of CEM development by selecting few examples from the wide area of subsurface EM scattering.

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A novel high order MoM/PO hybrid method for 3D EM scattering problems

2006 Asia-Pacific Microwave Conference ◽

10.1109/apmc.2006.4429788 ◽

2006 ◽

Author(s):

Shuguang Liu ◽

Xiaojuan Zhang

Keyword(s):

Hybrid Method ◽

High Order ◽

Em Scattering ◽

Scattering Problems ◽

3D Em

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Fast solver for uncertainty EM scattering problems by the perturbed-based MLFMA

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2020.10.020 ◽

2021 ◽

Vol 122 ◽

pp. 168-175

Author(s):

Yu-Sheng Li ◽

Jun Wan ◽

Zi He ◽

Ru-Shan Chen

Keyword(s):

Em Scattering ◽

Scattering Problems ◽

Fast Solver

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An efficient solver for the numerical solution of EM scattering problems by many small dielectric circular obstacles

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.08.010 ◽

2020 ◽

Vol 147 ◽

pp. 88-100

Author(s):

Sayer O. Alharbi ◽

Saleh M. Alzahrani

Keyword(s):

Numerical Solution ◽

Em Scattering ◽

Scattering Problems ◽

Efficient Solver

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The MLFMA Equipped with a Hybrid Tree Structure for the Multiscale EM Scattering

International Journal of Antennas and Propagation ◽

10.1155/2014/281303 ◽

2014 ◽

Vol 2014 ◽

pp. 1-6 ◽

Cited By ~ 3

Author(s):

Wei-Bin Kong ◽

Hou-Xing Zhou ◽

Wei-Dong Li ◽

Guang Hua ◽

Wei Hong

Keyword(s):

Near Field ◽

Bottom Layer ◽

Tree Structure ◽

Memory Requirement ◽

Storage Efficiency ◽

Em Scattering ◽

Scattering Problems ◽

Single Tree ◽

Multiscale Problem ◽

Fast Multipole Algorithm

We present an efficient strategy for reducing the memory requirement for the near-field matrix in the multilevel fast multipole algorithm (MLFMA) for solving multiscale electromagnetic (EM) scattering problems. A multiscale problem can obviously lower the storage efficiency of the MLFMA for the near-field matrix. This paper focuses on overcoming this shortcoming to a certain extent. A hybrid tree structure for the MLFMA that possesses two kinds of bottom-layer boxes with different edge sizes will be built to significantly reduce the memory requirement for the near-field matrix in the multiscale case compared with the single-tree-structure technique. Several numerical examples are provided to demonstrate the efficiency of the proposed scheme in the multiscale EM scattering.

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