A Novel PO Solver for Uncertainty EM Computation of Electrically Large Targets

Authors

  • Yong Chen School of Physics, Beijing Institute of Technology, Beijing, 100081, China ,2 Science and Technology on Electromagnetic Scattering Laboratory, Beijing, 100854, China
  • Zhao-Guo Hou Science and Technology on Electromagnetic Scattering Laboratory, Beijing, 100854, China
  • Hong-Cheng Yin Science and Technology on Electromagnetic Scattering Laboratory, Beijing, 100854, China
  • Ru-Shan Chen Nanjing University of Science and Technology, Nanjing, 210094, China

Keywords:

Electromagnetic scattering, perturbation approach, PO, varying geometric shape

Abstract

A novel PO method is proposed to analyze the uncertain scattering problems. The algorithm starts with modeling the target with a variable shape by using the non-uniform rational B-spline (NURBS) scheme. Then the scattering far-field is expressed in terms of the variable parameters in NURBS. It should be noted that the perturbation approach is applied to describe the uncertainty of the varying shapes. Compared with the traditional Monte Carlo (MC) method, only a few matrix equations are needed to be solved, so the efficiency will increase greatly. At last, several numerical examples are given to validate the accuracy and efficiency of the proposed method.

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Author Biographies

Yong Chen, School of Physics, Beijing Institute of Technology, Beijing, 100081, China ,2 Science and Technology on Electromagnetic Scattering Laboratory, Beijing, 100854, China

Yong Chen was born in Tianmen, Hubei Province, China, in 1983. He received the B.S. degree from WuHan University in 2005, and the M.S. degree in Electromagnetic Field and Microwave Technology from the graduate school of Second Academy, China Aerospace Science &Industry Corporation in 2008. He is currently working towards the Ph.D. degree in Physics at Beijing Institute of Technology. He is a Senior Engineer at Science and Technology on Electromagnetic Scattering Laboratory. His research interest includes the electromagnetic scattering modeling and radar signal simulation.

Zhao-Guo Hou, Science and Technology on Electromagnetic Scattering Laboratory, Beijing, 100854, China

Zhaoguo Hou was born in Dingxi, Gansu Province, China, in 1983. He received the B.S. degree from Beijing Institute of Technology in 2005, the M.S. degree in condensed matter Physics from Beijing Institute of Technology in 2007, and the Ph.D. degree in Electromagnetic Field and Microwave Technology from Communication University of China in 2011. He is a Senior Engineer at Science and Technology on Electromagnetic Scattering Laboratory. His research interests include computational electromagnetics and radar signal simulation.

Hong-Cheng Yin, Science and Technology on Electromagnetic Scattering Laboratory, Beijing, 100854, China

Hong-Cheng Yin was born in Jiangxi, China. He received the B.S. degree from Northwest Telecommunication Engineering Institute, Xi’an, China, in 1986, the M.S. degree from Beijing Institute of Environmental Features (BIEF), Beijing, China, in 1989, and the Ph.D. degree from Southeast University, Nanjing, China, in 1993, all in Electromagnetic Field and Microwave Technique. He is currently a Researcher at the Science and Technology on Electromagnetic Scattering Laboratory, BIEF. His research interests include numerical methods in electromagnetic fields, electromagnetic scattering and inverse scattering, radar target recognition. Yin is a Fellow of Chinese Institute of Electronics.

Ru-Shan Chen, Nanjing University of Science and Technology, Nanjing, 210094, China

Ru Shan Chen was born in Jiangsu, China. He received the B.Sc. and M.Sc. degrees from the Department of Radio Engineering, Southeast University, China, in 1987 and 1990, respectively, and the Ph.D. degree from the Department of Electronic Engineering, City University of Hong Kong, in 2001. He joined the Department of Electrical Engineering, Nanjing University of Science and Technology (NJUST), China, where he became a Teaching Assistant in 1990 and a Lecturer in 1992. Since September 1996, he has been a Visiting Scholar with the Department of Electronic Engineering, City University of Hong Kong, first as Research Associate, then as a Senior Research Associate in July 1997, a Research Fellow in April 1998, and a Senior Research Fellow in 1999. From June to September 1999, he was also a Visiting Scholar at Montreal University, Canada. In September 1999, he was promoted to Full Professor and Associate Director of the Microwave and Communication Research Center in NJUST, and in 2007, he was appointed as the Head of the Department of Communication Engineering, NJUST. He was appointed as the Dean in the School of Communication and Information Engineering, Nanjing Post and Communications University in 2009. And in 2011 he was appointed as Vice Dean of the School of Electrical Engineering and Optical Technique, NJUST. Currently, he is a principal investigator of more than 10 national projects. His research interests mainly include computational electromagnetics, microwave integrated circuit and nonlinear theory, smart antenna in communications and radar engineering, microwave material and measurement, RF-integrated circuits, etc. He has authored or coauthored more than 260 papers, including over 180 papers in international journals.

References

W. C. Chew, J. M. Jin, E. Midielssen, and J. M. Song, Fast and Efficient Algorithms in Computational Electromagnetics. Boston, MA: Artech House, 2001.

M. Chen, R. S. Chen, D. Z. Ding, Z. H. Fan “Accelerating the multilevel fast multipole method with parallel preconditioner for large-scale scattering problems,” Applied Computational Electromagnetic Society, vol. 26, no. 10, pp. 815-822, Oct. 2011.

Z. He and R. S. Chen, “A vector meshless parabolic equation method for three-dimensional electromagnetic scatterings,” IEEE Trans. Antennas and Propagation, vol. 63, no. 6, pp. 2595-2603, 2015.

W. C. Chew, T. J. Cui, and J. M. Song, “A FAFFAMLFMA algorithm for electromagnetic scattering,” IEEE Trans. Antennas Propag., vol. 50, no. 11, pp. 1641-1649, 2002.

Z. He, Z. H. Fan, D. Z. Ding, and R. S. Chen, “Efficient radar cross-section computation of electrically large targets with ADI-PE method,” Electronics Letters, vol. 51, no. 4, pp. 360-362, 2015.

Z. He and R. S. Chen, “Frequency-domain and time-domain solvers of parabolic equation for rotationally symmetric geometries,” Computer Physics Communication, vol. 220, pp. 181-187, 2017.

C. Chauviere, J. S. Hesthaven, and L. C. Wilcox, “Efficient computation of RCS from scatterers of uncertain shapes,” IEEE Trans. Antennas Propagat., vol. 55, no. 5, pp. 1437-1448, May 2007.

A. C. M. Austin and C. D. Sarris, “Efficient analysis of geometrical uncertainty in the FDTD method using polynomial chaos with application to microwave circiuts,” IEEE Trans. Microw. Theory Techn., vol. 61, no. 12, pp. 4293-4301, Dec. 2013.

Z. Zubac, D. D. Zutter, and D. V. Ginste, “Scattering from two-dimensional objects of varying shape combining the method of moments with the stochastic Galerkin method,” IEEE Trans. Antennas Propagat., vol. 62, no. 9, pp. 4852-4856, Sep. 2014.

Z. Zubac, D. D. Zutter, and D. V. Ginste, “Scattering from two-dimensional objects of varying shape combining the multilevel fast multipole method (MLFMM) with the stochastic galerkin method (SGM),” IEEE Antennas Wireless Propagat. Lett., vol. 14, pp. 843-846, 2015.

Z. Zubac, L. Daniel, D. D. Zutter, and D. V. Ginste, “A cholesky-based SGM-MLFMM for stochastic full-wave problems described by correlated random variables,” IEEE Antennas Wireless Propagat. Lett., vol. 16, pp. 776-779, 2017.

B. T. Nguyen, C. Furse, and J. J. Simpson, “A 3-D stochastic FDTD model of electromagnetic wave propagation in magnetized ionosphere plasma,” IEEE Trans. Antennas Propagat., vol. 63, no. 1, pp. 304-313, Jan. 2015.

T. Tan, A. Taflove, and V. Backman, “Single realization stochastic FDTD for weak scattering waves in biological random media,” IEEE Trans. Antennas Propagat., vol. 61, no. 2, pp. 818-828, Feb. 2013.

H. Bagci, A. C. Yucel, J. Hesthaven, and E. Michielssen, “A fast stroud-based collocation method for statistically characterizing EMI/EMC phenomena on complex platforms,” IEEE Trans. Electromagn. Compat., vol. 51, no. 2, pp. 301-311, May 2009.

P. Li and L. J. Jiang, “Uncertainty quantification for electromagnetic system using ASGC and DGTD method,” IEEE Trans. Electromagn. Compat., vol. 57, no. 4, pp. 754-763, Aug. 2015.

G. Fishman, Monte Carlo: Concepts, Algorithms, and Applications. ch. 3, New York, NY, USA: Springer-Verlag, 1996.

O. P. Le Maitre and O. M. Knio, Spectral Methods for Uncertainty Quantification with Applications to Computational Fluid Dynamics. Heidelberg, Germany: Springer-Verlag, pp. 7-10, 2010.

D. Xiu, “Fast numerical methods for stochastic computations: A review,” Commun. Comput. Phys., vol. 5, no. 2-4, pp. 242-272, 2009.

D. Xiu, “Efficient collocational approach for parametric uncertainty analysis,” Commun. Comput. Phys., vol. 2, no. 2, pp. 293-309, 2007.

A. C. Yucel, H. Bagci, and E. Michielssen, “An adaptive multi-element probabilistic collocation method for statistical EMC/EMI characterization,” IEEE Trans. Electromagn. Compat., vol. 55, no. 6, pp. 1154-1168, Dec. 2013.

R. G. Ghanem and P. D. Spanos, Stochastic Finite Elements. A Spectral Approach. ch. 3, New York, NY, USA: Springer-Verlag, 1991.

C. Chauviere, J. S. Hesthaven, and L. Lurati, “Computational modeling of uncertainty in timedomain electromagnetics,” SIAM J. Sci. Comput., vol. 28, no. 2, pp. 751-775, Feb. 2006.

F. Z. Shi, Computer-aided Geometric Design and Nonuniform Rational B-Spline. ch. 14, Beijing, China: Higher Education Express, 2001.

H. B. Yuan, N. Wang, and C. H. Liang, “Combining the higher order method of moments with geometric modeling by NURBS surfaces,” IEEE Trans. Antennas Propagat., vol. 57, no. 11, pp. 3558-3563, Nov. 2009.

S. M. Rao, D. R. Wilton, and A. W. Glisson, “Electromagnetic scattering by surfaces of arbitrary shape,” IEEE Trans. Antennas Propagat., vol. AP30, no. 3, May 1982.

Z. P. Qiu and I. Elishakoff, “Antioptimization of structures with large uncertain-but-non-random parameters via interval analysis,” Computer Methods in Applied Mechanics and Engineering, vol. 152, no. 3, pp. 361-372, 1998.

B. Z. Xia, D. J. Yu, and J. Liu, “Interval and subinterval perturbation methods for a structuralacoustic system with interval parameters,” Journal of Fluids and Structures, vol. 38, pp. 146-163, 2013.

C. Wang, Z. P. Qiu, X. J. Wang, and D. Wu, “Interval finite element analysis and reliabilitybased optimization of coupled structural-acoustic system with uncertain parameters,” Finite Elements in Analysis and Design, vol. 91, pp. 108-114, 2014.

R. F. Harrington, Field Computation by Moment Method. Malabar. FL: Krieger, 1982.

Y. Saad and M. Schultz. “GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems,” SIAM J. Sci. Stat. Comput., vol. 7, pp. 856-869, 1986.

P. Arcioni, M. Bressan and L. Perregrini, “On the evaluation of the double surface integrals arising in the application of the boundary integral method to 3-D problems,” IEEE Transactions on Microwave Theory and Techniques, vol. 45, no. 3, pp. 436-439, Mar. 1997.

K. C. Wang, D. Z. Ding, and R. S. Chen, “A surrogate modeling technique for electromagnetic scattering analysis of 3-D objects with varying shape,” IEEE Antennas Wireless Propagat. Lett., vol. 17, pp. 1524-1527, 2018.

Y. Y. An, D. X. Wang, and R. S. Chen, “Improved multilevel physical optics algorithm for fast computation of monostatic radar cross section,” IET Microw. Antennas Propag., vol. 8, iss. 2, pp. 93-98, 2014.

Y. Y. An, D. X. Wang, and R. S. Chen, “A fast numerical algorithm for calculating electromagnetic scattering from an object above a rough surface,” Electromagnetics, vol. 33, no. 1, pp. 10-22, 2013

Y. Y. An, R. S. Chen, P. P. Xu, Z. W. Liu, and L. P. Zha, “Analysis of composite scattering from a target above/below a dielectric rough surface using higher order basis functions,” Appl. Comput. Electromagn. Society J., vol. 27, no. 7, pp. 541-549, 2012.

D. Z. Ding, Y. Shi, Z. N. Jiang, and R. S. Chen, “Application of hierarchical two-level spectral preconditioning method for electromagnetic scattering from the rough surface,” Int. J. Antennas Propag., vol. 2014, Article ID 752418, 10 pages, July 2014.

Z. H. Fan, Z. He, D. Z. Ding, and R. S. Chen, “The parallel ray propagation fast multipole algorithm with curve asymptotic phase basis function for large-scale EM scatterings,” Appl. Comput. Electromagn. Soc. J., vol. 30, no. 4, pp. 415-422, 2015.

M. Chen, R. S. Chen, D. Z. Ding, and Z. H. Fan, “Accelerating the multilevel fast multipole method with parallel preconditioner for large-scale scattering problems,” Appl. Comput. Electromagn. Society J., vol. 26, no. 10, pp. 815-822, Oct. 2011.

K. C. Wang, Z. He, D. Z. Ding, and R. S. Chen, “An uncertainty scattering analysis of 3-D objects with varying shape based on method of moments,” IEEE Transactions on Antennas and Propagation, vol. 67, no. 4, pp. 2835-2840, 2019.

K. C. Wang, D. Z. Ding, and R. S. Chen, “A surrogate modeling technique for electromagnetic scattering analysis of 3-D objects with varying shape,” IEEE Antennas and Wireless Propagat. Letter, vol. 17, no. 8, pp. 1524-1527, 2018.

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Published

2020-07-01

How to Cite

[1]
Yong Chen, Zhao-Guo Hou, Hong-Cheng Yin, and Ru-Shan Chen, “A Novel PO Solver for Uncertainty EM Computation of Electrically Large Targets”, ACES Journal, vol. 35, no. 7, pp. 750–757, Jul. 2020.

Issue

2020: Vol 35 Iss 7

Section

Articles