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2023-11-22
Characteristic Basic Function Method Accelerated by a New Physical Optics Approximation for the Scattering from a Dielectric Object
By
Progress In Electromagnetics Research B, Vol. 103, 177-194, 2023
Abstract
This paper presents an efficient algorithm to calculate the primary basis functions (PBFs) of the characteristic basis function method (CBFM) for the scattering from a dielectric object. The use of the Poggio-Miller-Chang-Harrington-Wu (PMCHW) integral equation discretized by the Galerkin method of moments (MoM) with Rao-Wilton-Glisson basis functions leads to solving a linear system. For a collection of incident waves and for a given block, the CBFM needs to invert the whole PMCHW self-impedance matrix to calculate the PBFs. By decomposing the PMCHW impedance matrix into four sub-matrices of halved sizes, related to the electric and magnetic surface currents and their coupling, the computation of the PBFs is accelerated by using the impedance matrix derived from the electric field integral equation (EFIE) combined with the physical optics (named POZ) approximation. In addition, the PO developed by Jakobus and Landstorfer [35], named POJ and valid for a perfectly-conducting scatterer, is extended to a dielectric surface. Recently, the MECA (modified equivalent current approximation, Li and Mittra [29]) based on the tangent plane or Kirchhoff approximation, has also been applied to expedite the PBF calculation. The presented method, HCBFM-POZ (H means halved), accelerated by the adaptive cross approximation (ACA), is tested and compared with CBFM-MECA and HCBFM-POJ on a cube and on a sphere. The numerical results show that HCBFM-POZ is valid for both the shapes, whereas the CBFM-MECA and HCBFM-POJ are not valid on a sphere.
Citation
Christophe Bourlier, "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.
doi:10.2528/PIERB23041304
References

1. Harrington, R. F., Field Computation by Moment Method, Macmillan, New York, 1968.

2. Gibson, W. C., The Method of Moments in Electromagnetics, Chapman and Hall/CRC, London, 2008.

3. Quarteroni, A., R. Sacco, and F. Sameri, Methodes Numeriques: Algortihmes, Analyse et Applications, Springer-Verlag, New York, 2007.

4. Coifman, R., V. Rokhlin, and S. Wandzura, "The fast multipole method for the wave equation: A pedestrian prescription," IEEE Antennas and Propagation Magazine, Vol. 35, No. 3, 7-12, 1993.

5. 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, 1997.

6. Jandhyala, V., E. Michielssen, S. Balasubramaniam, and Weng Cho Chew, "A combined steepest descent-fast multipole algorithm for the fast analysis of threedimensional scattering by rough surfaces," IEEE Transactions on Geoscience and Remote Sensing, Vol. 36, No. 3, 738-748, 1998.

7. 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.

8. Bagci, H., A. E. Yilmaz, J.-M. Jin, and E. Michielssen, Modeling and Computations in Electromagnetics — Chapter 3: Time Domain Adaptive Integral Method for Surface Integral Equations, Springer, Berlin, 2000.

9. Ewe, Wei-Bin, Joshua Le-Wei Li, and Mook-Seng Leong, "Solving mixed dielectric/conducting scattering problem using adaptive integral method," Progress In Electromagnetics Research, Vol. 46, 143-163, 2004.

10. Colliander, Andreas and Pasi YlÄ-Oijala, "Electromagnetic scattering from rough surface using single integral equation and adaptive integral method," IEEE Transactions on Antennas and Propagation, Vol. 55, No. 12, 3639-3646, 2007.

11. Wang, Xing, Shu-Xi Gong, Jin Ling, and Xiao-Ming Wang, "Interpolation scheme based on adaptive integral method for solving electrically large radiation problem by surface/surface configuration," Progress In Electromagnetics Research M, Vol. 11, 203-211, 2010.

12. Zhou, Lin, Leung Tsang, V. Jandhyala, Qin Li, and C. H. Chan, "Emissivity simulations in passive microwave remote sensing with 3-D numerical solutions of Maxwell equations," IEEE Transactions on Geoscience and Remote Sensing, Vol. 42, No. 8, 1739-1748, 2004.

13. Huang, S. W., "Numerical analysis of scattering by dielectric random rough surfaces using modified SMCG scheme and curvilinear RWG basis functions," IEEE Transactions on Antennas and Propagation, Vol. 57, No. 10, 3392-3397, 2009.

14. Liao, Tien-Hao, L. Tsang, S. Huang, N. Niamsuwan, S. Jaruwatanadilok, S.-B. Kim, H. Ren, and K.-L. Chen, "Copolarized and cross-polarized backscattering from random rough soil surfaces from L-band to Ku-band using numerical solutions of Maxwell’s equations with near-field precondition," IEEE Transactions on Geoscience and Remote Sensing, Vol. 54, No. 2, 651-662, 2016.

15. Qiao, T., L. Tsang, D. Vandemark, S. H. Yueh, T.-H. Liao, F. Nouguier, and B. Chapron, "Sea surface radar scattering at L-band based on numerical solution of Maxwell's equations in 3-D (NMM3D)," IEEE Transactions on Geoscience and Remote Sensing, Vol. 56, No. 6, 3137-3147, 2018.

16. Bourlier, Christophe, "Scattering from quasi-planar and moderate rough surfaces: Efficient method to fill the EFIE-Galerkin MoM impedance matrix and to solve the linear system," IEEE Transactions on Antennas and Propagation, Vol. 69, No. 9, 5761-5770, Sep. 2021.

17. Bourlier, Christophe, Nicolas Pinel, and Gildas Kubické, "Propagation-inside-layer-expansion method combined with physical optics for scattering by coated cylinders, a rough layer, and an object below a rough surface ," Journal of the Optical Society of America A, Vol. 30, No. 9, 1727-1737, 2013.

18. Bourlier, Christophec, Sami Bellez, Hongkun Li, and Gildas Kubické, "Sub-domain decomposition iterative method combined with ACA: an efficient technique for the scattering from a large highly conducting rough sea surface," IEEE Transactions on Antennas and Propagation, Vol. 63, No. 2, 659-666, 2015.

19. Bellez, Sami, Christophe Bourlier, and Gildas Kubické, "An efficient PILE algorithm for solving the scattering from three-dimensional (3-D) nested homogeneous dielectric bodies," Journal of the Optical Society of America, Vol. 32, No. 3, 392-401, 2015.

20. Bourlier, Christophe, Y. Arencibia Noa, Gildas Kubické, and S. Bellez, "Two domain decomposition methods, SDIM and CBFM, for the scattering from a two-dimensional perfectly-conducting rough surface: Comparison and parametric study," Journal of the Optical Society of America A, Vol. 37, No. 9, 1512-1525, 2020.

21. Suter, Eric and Juan R. Mosig, "A subdomain multilevel approach for the efficient MoM analysis of large planar antennas," Microwave and Optical Technology Letters, Vol. 26, No. 4, 270-277, 2000.

22. 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.

23. 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.

24. Lucente, Eugenio, "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.

25. Wang, Pan and Zhonggen Wang, "Application of characteristic basis function method based on characteristic mode theory to solve the monostatic RCS of objects," 2021 International Applied Computational Electromagnetics Society (ACES-China) Symposium, Chengdu, China, Jul. 2021.

26. Bourlier, C., "Acceleration of the primary basic functions calculation from the CBFM-EFIE combined with the physical optics approximation," IEEE Transactions on Antennas and Propagation, Mar. 2022.

27. 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.

28. 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.

29. 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.

30. 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.

31. Huang, Fei and Yu-fa Sun, Fast Solution of Electromagnetic Scattering from Dielectric Objects via the Modified SVD-CBFM, 2019 IEEE International Conference on Computational Electromagnetics (ICCEM), Shanghai, China, Mar. 2019.

32. 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.

33. Wan, Jiaxin, Hongxia Ye, and Mei Song Tong, "An effective extraction method of common characteristic basis functions for 3D rough surfaces scattering computation," 2021 Photonics & Electromagnetics Research Symposium (PIERS), Hangzhou, China, Nov. 2021.

34. Bourlier, Christophe, "Acceleration of the primary basic functions calculation from the EFIE-Characteristic Basis Function Method (CBFM) combined with a new physical optics approximation," Progress In Electromagnetics Research B, Vol. 99, 179-195, 2023.

35. Jakobus, U. and F. M. Landstorfer, "Improved PO-MM hybrid formulation for scattering from three-dimensional perfectly conducting bodies of arbitrary shape," IEEE Transactions on Antennas and Propagation, Vol. 43, No. 2, 162-169, 1995.

36. Fung, Adrian K., Microwave Scattering and Emission Models and Their Applications, ser. Remote Sensing Library, Artech House, Boston, London, 1994.

37. Bellez, Sami, Christophe Bourlier, and Gildas Kubické, "3-D scattering from a PEC target buried beneath a dielectric rough surface: An efficient PILE-ACA algorithm for solving a hybrid KA-EFIE formulation," IEEE Transactions on Antennas and Propagation, Vol. 63, No. 11, 5003-5014, 2015.

38. Bebendorf, Mario, "Approximation of boundary element matrices," Numerische Mathematik, Vol. 86, No. 4, 565-589, 2000.

39. Bebendorf, M. and S. Rjasanow, "Adaptive low-rank approximation of collocation matrices," Computing, Vol. 70, No. 1, 1-24, 2003.

40. Zhao, Kezhong, M. N. Vouvakis, and Jin-Fa Lee, "The adaptive cross approximation algorithm for accelerated method of moments computations of EMC problems," IEEE Transactions on Electromagnetic Compatibility, Vol. 47, No. 4, 763-773, 2005.

41. 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.

42. Yaghjian, Arthur D., "Sampling criteria for resonant antennas and scatterers," Journal of Applied Physics, Vol. 79, No. 10, 7474-7482, 1996.

43. Fenni, Ines, Hélène Roussel, Muriel Darces, and Raj Mittra, "Fast analysis of large 3-D dielectric scattering problems arising in remote sensing of forest areas using the CBFM," IEEE Transactions on Antennas and Propagation, Vol. 62, No. 8, 4282-4291, 2014.

44. Tsang, L., J. A. Kong, and K.-H. Ding, Scattering of Electromagnetic Waves, Theories and Applications, W. S. in Remote Sensing, Ed., John Wiley & Sons, Inc., 2000.

45. Park, Chan-Sun, Yi-Ru Jeong, Ic-Pyo Hong, and Jong-Gwan Yook, "Block size optimization of CBFM for scattering problems," IEEE Transactions on Antennas and Propagation, Vol. 66, No. 10, 5370-5377, 2018.