volume | PIER Journals

Abstract

In this paper, a novel construction approach of characteristic basis functions (CBFs) is proposed to accelerate the traditional multilevel characteristic basis function method (MLCBFM) for the analysis of electrically large scattering problems. The solution of CBFs in the traditional MLCBFM is extremely complicated and time-consuming due to numerous reduced matrix calculation procedures. Nevertheless, in the proposed method, the CBFs can be solved directly in one step using the new construction approach, which leads to a significant reduction in computation time. Numerical simulation results have demonstrated the effectiveness of the proposed method, which achieves higher computational efficiency without any loss of accuracy than the traditional MLCBFM.

1. Harrington, Roger F., Field Computation by Moment Methods, IEEE Press, 1993.

2. Vipiana, F., P. Pirinoli, and G. Vecchi, "Wavelet-MoM analysis of 3D antennas with triangular mesh," IEEE Antennas and Propagation Society Symposium, 2004, Vol. 2, 1471-1474, Monterey, CA, USA, Jun. 2004.

3. Song, J., Cai-Cheng Lu, and Weng Cho Chew, "Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects," IEEE Transactions on Antennas and Propagation, Vol. 45, No. 10, 1488-1493, Oct. 1997.

4. Bleszynski, E., M. Bleszynski, and T. Jaroszewicz, "AIM: Adaptive integral method for solving large-scale electromagnetic scattering and radiation problems," Radio Science, Vol. 31, No. 5, 1225-1251, 1996.

5. Prakash, V. V. S. and Raj Mittra, "Characteristic basis function method: A new technique for efficient solution of method of moments matrix equations," Microwave and Optical Technology Letters, Vol. 36, No. 2, 95-100, 2003.

6. Sun, Y. F., C. H. Chan, R. Mittra, and L. Tsang, "Characteristic basis function method for solving large problems arising in dense medium scattering," IEEE Antennas and Propagation Society International Symposium. Digest. Held in conjunction with: USNC/CNC/URSI North American Radio Sci. Meeting (Cat. No.03CH37450), Vol. 2, 1068-1071, Columbus, OH, USA, Jun. 2003.

7. Wang, Xing, Lin Chen, Chunheng Liu, Ying Liu, Yi Zeng, and Zhou Xu, "An efficient hybrid method of CBFM/AIM and equivalent dipole moment for computation of electromagnetic scattering problems," IEEE Transactions on Antennas and Propagation, Vol. 72, No. 10, 8103-8108, Oct. 2024.

8. Lucente, Eugenio, Agostino Monorchio, and Raj Mittra, "An iteration-free MoM approach based on excitation independent characteristic basis functions for solving large multiscale electromagnetic scattering problems," IEEE Transactions on Antennas and Propagation, Vol. 56, No. 4, 999-1007, Apr. 2008.

9. Tanaka, Tai, Kazuki Niino, and Naoshi Nishimura, "Characteristic basis function method combined with krylov-calderón preconditioner for PMCHWT formulation," IEEE Transactions on Antennas and Propagation, Vol. 72, No. 3, 2578–2591, Mar. 2024.

10. De Gregorio, M., G. Tiberi, A. Monorchio, and R. Mittra, "Solution of wide band scattering problems using the characteristic basis function method," IET Microwaves, Antennas & Propagation, Vol. 6, No. 1, 60-66, 2012.

11. Nie, Wen-Yan and Zhong-Gen Wang, "Solution for wide band scattering problems by using the improved ultra-wide band characteristic basis function method," Progress In Electromagnetics Research Letters, Vol. 58, 37-43, 2016.

12. Wang, Zhonggen, Chenwei Li, Yufa Sun, Wenyan Nie, Pan Wang, and Han Lin, "A novel method for rapidly solving wideband RCS by combining UCBFM and compressive sensing," Progress In Electromagnetics Research C, Vol. 124, 33-42, 2022.

13. Laviada, Jaime, Fernando Las-Heras, Marcos R. Pino, and Raj Mittra, "Solution of electrically large problems with multilevel characteristic basis functions," IEEE Transactions on Antennas and Propagation, Vol. 57, No. 10, 3189-3198, 2009.

14. Chen, Xinlei, Changqing Gu, Ji Ding, Zhuo Li, and Zhenyi Niu, "Direct solution of electromagnetic scattering from perfect electric conducting targets using multilevel characteristic basis function method with adaptive cross approximation algorithm," IET Microwaves, Antennas & Propagation, Vol. 7, No. 3, 195-201, 2013.

15. Li, Chenlu, Yufa Sun, Zhonggen Wang, and Guohua Wang, "Multilevel characteristic basis function method with ACA for accelerated solution of electrically large scattering problems," Transactions of Nanjing University of Aeronautics and Astronautics, Vol. 35, No. 3, 449-454, Jun. 2018.

16. Li, Chenlu, Yufa Sun, Guohua Wang, and Zhonggen Wang, "Fast analysis for large-scale electromagnetic scattering problems by a hybrid approach," Journal of Electromagnetic Waves and Applications, Vol. 31, No. 8, 808-819, 2017.

17. Huang, Fei and Yufa Sun, "Efficient solution of electromagnetic scattering from dielectric objects via characteristic basis function method based on large-size blocks with multilevel subdivision," IEEE Access, Vol. 7, 71741-71748, 2019.

18. Fang, Xiaoxing, Qunsheng Cao, and Yi Wang, "Accelerated direct solver with multiscale compressed block decomposition and multilevel characteristic basis function method," IEEE Antennas and Wireless Propagation Letters, Vol. 19, No. 12, 2226-2229, 2020.

19. Park, Chan-Sun, Ic-Pyo Hong, Inkyun Jung, and Jong-Gwan Yook, "A fast computation of far interactions in MLCBFM for electromagnetic analysis of large structures," 2018 International Symposium on Antennas and Propagation (ISAP), 1-2, Busan, Korea, Oct. 2018.

20. Park, Chan-Sun, Ic-Pyo Hong, Yoon-Jae Kim, and Jong-Gwan Yook, "Acceleration of multilevel characteristic basis function method by multilevel multipole approach," IEEE Transactions on Antennas and Propagation, Vol. 68, No. 10, 7109-7120, May 2020.

21. Kim, Inhwan, Hyeong-Rae Im, Youngjae Ryu, Ic-Pyo Hong, Hyunsoo Lee, and Jong-Gwan Yook, "Investigation on multilevel characteristic basis function method using PMCHWT formulation for multi-dielectric and PEC composite structures," 2024 International Symposium on Antennas and Propagation (ISAP), 1-2, Incheon, Korea, Nov. 2024.

22. 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, Feb. 2024.

23. 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.

24. Galerkin, B. G., "On electrical circuits for the approximate solution of the Laplace equation," Vestnik Inzh, Vol. 19, 897-908, 1915.

Dr. Mingrui Ou

Dr. Yufa Sun

Dr. Ling Yao

Dr. Pan Wang