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2026-08-31
Fast Monostatic Scattering Analysis of Large-Scale Periodic Arrays Using an MMV-CS-CM-SED Method
By
Progress In Electromagnetics Research C, Vol. 173, 83-91, 2026
Abstract
Conventional methods face prohibitive computational overhead for multi-aspect monostatic scattering analysis of large-scale finite periodic arrays (LFPAs) due to repetitive preprocessing and full-matrix inversion under wide-angle multiple-incidence scenarios. To meet this challenge, this paper proposes an efficient multi-measurement vector compressive sensing framework combined with characteristic mode subdomain extraction (MMV-CS-CM-SED). It extracts excitation-independent CM-SED basis functions from a coupled subarray, forming a reusable sparse dictionary. Furthermore, we introduce a uniform spatial sampling strategy based on golden-section low-discrepancy sequences, which drastically reduces matrix filling by extracting only a small portion of impedance matrix rows. Finally, the method leverages the joint sparsity of multi-angle coefficients through an MMV model to accelerate the solution process. Numerical results demonstrate that, compared to the accurate subdomain entire-domain (ASED) and method of moments (MoM), the proposed method achieves high radar cross section (RCS) accuracy while reducing total matrix filling and computational time by over 70%, validating its efficiency and accuracy for large-scale array electromagnetic analyses.
Citation
Yukun Ding, Zhonggen Wang, Wenyan Nie, and Quan Sun, "Fast Monostatic Scattering Analysis of Large-Scale Periodic Arrays Using an MMV-CS-CM-SED Method," Progress In Electromagnetics Research C, Vol. 173, 83-91, 2026.
doi:10.2528/PIERC26070202
References

1. Ou, Mingrui, Yufa Sun, Fei Huang, and Pan Wang, "Enhancing ASED basis function method with compressive sensing for fast analysis of large-scale finite periodic arrays," Microwave and Optical Technology Letters, Vol. 67, No. 3, e70168, 2025.
doi:10.1002/mop.70168        Google Scholar

2. Xiao, Ke, Fei Zhao, Shun-Lian Chai, Jun-Jie Mao, and Joshua Le-Wei Li, "Scattering analysis of periodic arrays using combined CBF/P-FFT method," Progress In Electromagnetics Research, Vol. 115, 131-146, 2011.
doi:10.2528/pier11020601        Google Scholar

3. Harrington, R. F., Field Computation by Moment Methods, Macmillan, New York, 1968.

4. Rao, S., D. Wilton, and A. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Transactions on Antennas and Propagation, Vol. 30, No. 3, 409-418, 1982.
doi:10.1109/tap.1982.1142818        Google Scholar

5. Matekovits, Ladislau, Valeriu Adrian Laza, and Giuseppe Vecchi, "Analysis of large complex structures with the synthetic-functions approach," IEEE Transactions on Antennas and Propagation, Vol. 55, No. 9, 2509-2521, 2007.
doi:10.1109/tap.2007.904073        Google Scholar

6. Matekovits, L., G. Vecchi, G. Dassano, and M. Orefice, "Synthetic function analysis of large printed structures: The solution space sampling approach," IEEE Antennas and Propagation Society International Symposium. 2001 Digest. Held in Conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.01CH37229), Vol. 2, 568-571, Boston, MA, USA, 2001.
doi:10.1109/APS.2001.959787

7. Wang, Zhong-Gen, Wen-Yan Nie, and Han Lin, "Characteristic basis functions enhanced compressive sensing for solving the bistatic scattering problems of three-dimensional targets," Microwave and Optical Technology Letters, Vol. 62, No. 10, 3132-3138, 2020.
doi:10.1002/mop.32432        Google Scholar

8. Konno, Keisuke, Qiang Chen, and Robert J. Burkholder, "Numerical analysis of large-scale finite periodic arrays using a macro block-characteristic basis function method," IEEE Transactions on Antennas and Propagation, Vol. 65, No. 10, 5348-5355, 2017.
doi:10.1109/tap.2017.2736526        Google Scholar

9. Lu, Wei Bing, Tie Jun Cui, Zhi Guo Qian, Xiao Xing Yin, and Wei Hong, "Accurate analysis of large-scale periodic structures using an efficient sub-entire-domain basis function method," IEEE Transactions on Antennas and Propagation, Vol. 52, No. 11, 3078-3085, 2004.
doi:10.1109/tap.2004.835143        Google Scholar

10. Du, Ping, Peng Di Xu, and Sheng Zhang, "An efficient wideband analysis method based on ASED basis function method and improved fir for large-scale finite periodic structures," 2019 International Symposium on Antennas and Propagation (ISAP), 1-3, Xi'an, China, 2019.

11. Du, Ping, Gang Zheng, Cheng Wang, and Wei Jie Fu, "Efficient wideband computation of electromagnetic scattering by finite periodic structures combining ASED basis function with frequency-independent reaction," IEEE Antennas and Wireless Propagation Letters, Vol. 17, No. 2, 234-237, 2018.
doi:10.1109/lawp.2017.2781739        Google Scholar

12. Cheng, G. S. and Chao-Fu Wang, "A novel periodic characteristic mode analysis method for large-scale finite arrays," IEEE Transactions on Antennas and Propagation, Vol. 67, No. 12, 7637-7642, 2019.
doi:10.1109/tap.2019.2934781        Google Scholar

13. Wang, Zhonggen, Pan Wang, Yufa Sun, and Wenyan Nie, "Fast analysis of bistatic scattering problems for three-dimensional objects using compressive sensing and characteristic modes," IEEE Antennas and Wireless Propagation Letters, Vol. 21, No. 9, 1817-1821, 2022.
doi:10.1109/lawp.2022.3181602        Google Scholar

14. Guo, Fei, Zhonggen Wang, Yufa Sun, Wenyan Nie, Pan Wang, and Juan Wu, "Novel characteristic mode basis functions accelerating iteration convergence of CMM for analyzing electromagnetic scattering problems," Applied Computational Electromagnetics Society Journal (ACES), Vol. 38, No. 8, 594-601, 2023.
doi:10.13052/2023.aces.j.380806        Google Scholar

15. Candes, Emmanuel J. and Michael B. Wakin, "An introduction to compressive sampling," IEEE Signal Processing Magazine, Vol. 25, No. 2, 21-30, 2008.
doi:10.1109/msp.2007.914731        Google Scholar

16. Wang, Zhe, Bing-Zhong Wang, and Wei Shao, "Efficient construction and solution of MoM matrix equation with compressed sensing technique," Journal of Electromagnetic Waves and Applications, Vol. 29, No. 5, 683-692, 2015.
doi:10.1080/09205071.2015.1014574        Google Scholar

17. Xiang, Jianhao, Zhonggen Wang, Haoran Yuan, and Wenyan Nie, "Energy-based adaptive Krylov subspace basis functions method for solving bistatic scattering problems," Progress In Electromagnetics Research C, Vol. 158, 151-159, 2025.
doi:10.2528/pierc25062903        Google Scholar

18. Wang, Zhonggen, Fei Guo, Wenyan Nie, Yufa Sun, and Pan Wang, "Principal component analysis accelerated the iterative convergence of the characteristic mode basis function method for analyzing electromagnetic scattering problems," Progress In Electromagnetics Research M, Vol. 117, 129-138, 2023.
doi:10.2528/pierm23041504        Google Scholar

19. Xiang, Wei, Wu Yang, and Weibing Lu, "Fast subentire-domain basis functions method for analysis of composite finite periodic structures with dielectric-conductor cells," IEEE Antennas and Wireless Propagation Letters, Vol. 22, No. 2, 233-237, 2023.
doi:10.1109/lawp.2022.3207508        Google Scholar

20. Guo, Fei, Tian Liu, Bingbing Song, Wu Yang, and Weibing Lu, "Efficient analysis of electromagnetic scattering in large-scale finite periodic structures using characteristic modes," IEEE Antennas and Wireless Propagation Letters, Vol. 24, No. 12, 4970-4974, 2025.
doi:10.1109/lawp.2025.3618173        Google Scholar

21. Cotter, S. F., B. D. Rao, Kjersti Engan, and K. Kreutz-Delgado, "Sparse solutions to linear inverse problems with multiple measurement vectors," IEEE Transactions on Signal Processing, Vol. 53, No. 7, 2477-2488, 2005.
doi:10.1109/tsp.2005.849172        Google Scholar

22. Ou, Mingrui, Yufa Sun, Zhonggen Wang, and Pan Wang, "Multiple-measurement-vectors compressive sensing enhanced CBFM for analyzing wide-angle scattering problems of three-dimensional objects," IEEE Antennas and Wireless Propagation Letters, Vol. 24, No. 7, 1635-1639, 2025.
doi:10.1109/lawp.2025.3543592        Google Scholar

23. Qi, Qi, Yunuo Fan, Xinyuan Cao, Yi Liu, Meng Kong, Zhixiang Huang, and Xianliang Wu, "An improved compressive sensing-based model for efficient analysis of monostatic electromagnetic scattering problems," IEEE Microwave and Wireless Technology Letters, Vol. 35, No. 4, 388-391, 2025.
doi:10.1109/lmwt.2025.3537296        Google Scholar

24. Ou, Mingrui, Yufa Sun, and Chaofan Shi, "Compressive sensing enhanced multilevel characteristic basis function method for analyzing electrically large scattering problems," IEEE Antennas and Wireless Propagation Letters, Vol. 23, No. 2, 593-597, 2024.
doi:10.1109/lawp.2023.3330820        Google Scholar

25. Zhang, Huan Huan, Wei E. I. Sha, and Li Jun Jiang, "Fast monostatic scattering analysis based on Bayesian compressive sensing," 2017 International Applied Computational Electromagnetics Society Symposium --- Italy (ACES), 1-2, Firenze, Italy, 2017.
doi:10.23919/ROPACES.2017.7916425

26. Chen, Yikai and Chao-Fu Wang, "Characteristic mode theory for dielectric resonators," Characteristic Modes: Theory and Applications in Antenna Engineering, 143-185, Wiley 2015.
doi:10.1002/9781119038900.ch4        Google Scholar