An Efficient Hybrid Algorithm Combining Skeletonization <i>MoM</i> –PO and EDM for Solving Electromagnetic Radiation of Large-Scale Targets

The method of moments–physical optics (<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">MoM</i>–PO) algorithm, when applied to antenna arrays or antennas with complex surrounding structures, leads to a significant increase in the number of unknowns in the <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">MoM</i> region, resulting in higher memory consumption and reduced computational efficiency. To address this issue, a novel hybrid numerical method combining the skeletonization <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">MoM</i>–PO and equivalent dipole moment (SKE-PO–EDM) is proposed for efficient electromagnetic (EM) radiation analysis of antennas mounted on electrically large structures. Using the interpolation decomposition (ID) method, the skeleton basis functions for both the <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">MoM</i> and PO regions are derived separately, and the far-field interactions are compressed into the coupling between the skeleton basis functions. In addition to the self-impedance matrix and mutual-impedance matrix, the hybrid scheme introduces an innovative skeleton extraction technique suitable for the coupling matrix. After extracting the skeleton basis functions, the calculation of the impedance matrix elements is subsequently accelerated by EDM. Several numerical results show that the proposed approach significantly reduces both computation time and memory usage, while maintaining high accuracy.

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Journal
IEEE Transactions on Antennas and Propagation
Published
2025-08-12
DOI
https://doi.org/10.1109/tap.2025.3596315
Primary Topic
Optical Systems and Laser Technology
Type
article
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article

An Efficient Hybrid Algorithm Combining Skeletonization MoM –PO and EDM for Solving Electromagnetic Radiation of Large-Scale Targets

Jiahui Wu, Chunheng Liu, Xiang-Gang Ma, Xing Wang et al.
IEEE Transactions on Antennas and Propagation
Optical Systems and Laser Technology
article

An Efficient Hybrid Algorithm Combining Skeletonization MoM –PO and EDM for Solving Electromagnetic Radiation of Large-Scale Targets

Jiahui Wu, Chunheng Liu, Xiang-Gang Ma, Xing Wang, Ying Liu, Zhou Xu
article en

Abstract

The method of moments–physical optics (<italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">MoM</i>–PO) algorithm, when applied to antenna arrays or antennas with complex surrounding structures, leads to a significant increase in the number of unknowns in the <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">MoM</i> region, resulting in higher memory consumption and reduced computational efficiency. To address this issue, a novel hybrid numerical method combining the skeletonization <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">MoM</i>–PO and equivalent dipole moment (SKE-PO–EDM) is proposed for efficient electromagnetic (EM) radiation analysis of antennas mounted on electrically large structures. Using the interpolation decomposition (ID) method, the skeleton basis functions for both the <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">MoM</i> and PO regions are derived separately, and the far-field interactions are compressed into the coupling between the skeleton basis functions. In addition to the self-impedance matrix and mutual-impedance matrix, the hybrid scheme introduces an innovative skeleton extraction technique suitable for the coupling matrix. After extracting the skeleton basis functions, the calculation of the impedance matrix elements is subsequently accelerated by EDM. Several numerical results show that the proposed approach significantly reduces both computation time and memory usage, while maintaining high accuracy.

IEEE Transactions on Antennas and PropagationVol. 73(11)
Xidian University (CN)
Affordable and clean energy
Openalex Percentile: Top 81%
Optical Systems and Laser Technology
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