volume | PIER Journals

Abstract

In this paper, the characteristic basis function method (CBFM) is accelerated to calculate the monostatic and bistatic normalized radar cross sections from one-dimensional highly-conducting sea surfaces in the microwave bands (C and Ku). In the framework of the two-scale asymptotic model, the subsurface length of the block is judiciously derived to contain all the surface curvature components (small scale) and the associated PBFs, assumed to be identical for all blocks, are rapidly calculated from the Kirchhoff approximation. In addition, the reduced matrix calculation is accelerated by neglecting the interactions between far blocks and by introducing a roughness slight approximation (matrix-matrix products can be done from fast Fourier transforms), which also allows us to expedite the resolution of the linear system since the matrix is sparse. Numerical results show the efficiency of CBFM-KA.

1. Voronovich, A., "Small-slope approximation for electromagnetic wave scattering at a rough interface of two dielectric half-spaces," Waves in Random Media, Vol. 4, No. 3, 337, 1994. Google Scholar

2. Elfouhaily, Tanos Mikhael and Charles-Antoine Guérin, "A critical survey of approximate scattering wave theories from random rough surfaces," Waves in Random Media, Vol. 14, No. 4, R1, 2004. Google Scholar

3. Bourlier, C. and N. Pinel, "Numerical implementation of local unified models for backscattering from random rough sea surfaces," Waves in Random and Complex Media, Vol. 19, No. 3, 455-479, 2009. Google Scholar

4. Pinel, N. and C. Boulier, Electromagnetic Wave Scattering from Random Rough Surfaces: Asymptotic Models, John Wiley & Sons, 2013.

5. Bourlier, C., Radar Propagation and Scattering in A Complex Maritime Environment: Modeling and Simulation from MatLab, Elsevier, 2018.

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

7. Tsang, Leung, Jin Au Kong, Kung-Hau Ding, and Chi On Ao, Scattering of Electromagnetic Waves: Numerical Simulations, John Wiley & Sons, 2004.

8. Bourlier, C., N. Pinel, and G. Kubické, Method of Moments for 2D Scattering Problems: Basic Concepts and Applications, John Wiley & Sons, 2013.

9. Holliday, D., L. L. DeRaad, and G. J. St-Cyr, "Forward-backward: A new method for computing low-grazing angle scattering," IEEE Transactions on Antennas and Propagation, Vol. 44, No. 5, 722, 1996. Google Scholar

10. Chou, Hsi-Tseng and Joel T. Johnson, "A novel acceleration algorithm for the computation of scattering from rough surfaces with the forward-backward method," Radio Science, Vol. 33, No. 5, 1277-1287, 1998. Google Scholar

11. 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. Google Scholar

12. Yagbasan, Atacan, Celal Alp Tunc, Vakur B. Erturk, Ayhan Altintas, and Raj Mittra, "Characteristic basis function method for solving electromagnetic scattering problems over rough terrain profiles," IEEE Transactions on Antennas and Propagation, Vol. 58, No. 5, 1579-1589, 2010. Google Scholar

13. Bourlier, Christophe, "Rough layer scattering filled by elliptical cylinders from the method of moments combined with the characteristic basis function method and the kirchoff approximation," Journal of the Optical Society of America A, Vol. 38, No. 10, 1581-1593, 2021. Google Scholar

14. Laviada, Jaime, Marcos R. Pino, and Fernando Las-Heras, "Generation of excitation-independent characteristic basis functions for three-dimensional homogeneous dielectric bodies," IEEE Transactions on Antennas and Propagation, Vol. 59, No. 9, 3318-3327, 2011. Google Scholar

15. Li, Chao and Raj Mittra, "Characteristic basis function method for fast analysis of 3-D scattering from objects buried under rough surfaces," IEEE Transactions on Geoscience and Remote Sensing, Vol. 57, No. 8, 5252-5265, 2019. Google Scholar

16. Bourlier, Christophe, "Characteristic Basic Function Method accelerated by a new Physical Optics approximation for the scattering from a dielectric object," Progress In Electromagnetics Research B, Vol. 103, 177-194, 2023. Google Scholar

17. Wright, J., "A new model for sea clutter," IEEE Transactions on Antennas and Propagation, Vol. 16, No. 2, 217-223, Mar. 1968. Google Scholar

18. Yuan, Jing and Hongxia Ye, "Modeling of EM scattering from 1D random rough surface with common characteristic basis function method," 2020 IEEE MTT-S International Wireless Symposium (IWS), 1-3, Shanghai, China, Sep. 2020.

19. Tsang, L., C. H. Chan, and H. Sangani, "Banded matrix iterative approach to Monte-Carlo simulations of scattering of waves by large-scale random rough surface problems: TM case," Electronics Letters, Vol. 29, No. 2, 166-167, 1993. Google Scholar

20. Tsang, L., C. H. Chan, H. Sangani, A. Ishimaru, and P. Phu, "A banded matrix iterative approach to Monte Carlo simulations of large-scale random rough surface scattering: TE case," Journal of Electromagnetic Waves and Applications, Vol. 7, No. 9, 1185-1200, 1993. Google Scholar

21. Tsang, Leung, C. H. Chan, Kyung Pak, and H. Sangani, "Monte-Carlo simulations of large-scale problems of random rough surface scattering and applications to grazing incidence with the BMIA/canonical grid method," IEEE Transactions on Antennas and Propagation, Vol. 43, No. 8, 851-859, 1995. Google Scholar

22. 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, 2008. Google Scholar

23. Elfouhaily, T., B. Chapron, K. Katsaros, and D. Vandemark, "A unified directional spectrum for long and short wind-driven waves," Journal of Geophysical Research: Oceans, Vol. 102, No. C7, 15781-15796, 1997. Google Scholar

24. Thorsos, Eric I., "The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum," The Journal of the Acoustical Society of America, Vol. 83, No. 1, 78-92, 1988. Google Scholar

25. Abromowitz, M. and I. A. Stegun, Handbook of Mathematical Functions, Dover publications, Inc., New York, 1970.

Prof. Christophe Bourlier