Hybrid MLFMA/MLACA for Analysis of Electromagnetic Scattering from Inhomogeneous High-Contrast Objects

Authors

  • Y. L. Hu Department of Communication Engineering Nanjing University of Science and Technology, Nanjing, 210094, China
  • Z. H. Fan Department of Communication Engineering Nanjing University of Science and Technology, Nanjing, 210094, China
  • D. Z. Ding Department of Communication Engineering Nanjing University of Science and Technology, Nanjing, 210094, China
  • R. S. Chen Department of Communication Engineering Nanjing University of Science and Technology, Nanjing, 210094, China

Keywords:

Equivalent dipole-moment, multilevel adaptive cross approximation algorithm, multilevel fast multipole algorithm, volume-surface integral equation

Abstract

An efficient hybrid method is proposed to analyze the electromagnetic scattering from the composite structures comprising PEC and inhomogeneous high-contrast dielectric materials with the volume-surface integral equation (VSIE) approach, which uses the main framework of the multilevel fast multipole algorithm (MLFMA) but adopts the multilevel adaptive cross approximation algorithm (MLACA) and the equivalent dipole-moment (EDM) to deal with part of the “strong” interaction of MLFMA. Numerical results are presented to demonstrate the accuracy and efficiency of the proposed scheme.

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References

P. L. Huddleston, L. N. Medgyesi-Mitschang, and J. M. Putnam, “Combined field integral equation formulation for scattering by dielectrically coated conducting bodies,” IEEE Trans. Antennas Propag., vol. 34, no. 4, pp. 510-520, Apr. 1986.

K. C. Donepudi, J.-M. Jin, and W. C. Chew, “A higher order multilevel fast multipole algorithm for scattering from mixed conducting/dielectric bodies,” IEEE Trans. Antennas Propag., vol. 51, no. 10, pp. 2814-2821,Oct. 2003.

P. Yla-Oijala and M. Taskinen, “Well-conditioned Muller formulation for electromagnetic scattering by dielectric objects,” IEEE Trans. Antennas Propag., vol. 53, no. 10, pp. 3316-3323, 2005.

P. Yla-Oijala and M. Taskinen, “Application of combined field integral equation for electromagnetic scattering by dielectric and composite objects,” IEEE Trans. Antennas Propag., vol. 53, no. 3, pp. 1168-1173, 2005.

P. Ylä-Oijala, M. Taskinen, and J. Sarvas, “Multilayered media Green’s functions for MPIE with general electric and magnetic sources by the Hertz potential approach,” Progress In Electromagnetics Research, vol. 33, pp. 141-165, 2001.

C. C. Lu and W. C. Chew, “A coupled surfacevolume integral equation approach for the calculation of electromagnetic scattering from composite metallic and material targets,” IEEE Transactions on Antennas Propagation, vol. 48, no. 12, pp. 1866-1868, Dec. 2000.

C. Luo and C.-C. Lu, “Electromagnetic scattering computation using a hybrid surface and volume integral equation formulation,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 22, no. 3, pp. 340-349, 2007.

R. Coifman, V. Rokhlin, and S. Wandzura, “The fast multipole method for the wave equation: a pedestrian prescription,” IEEE Magazine on Antennas and Propagation, vol. 35, no. 3, pp. 7- 12, 1993.

J. M. Song and W. C. Chew, “Fast multipole method solution using parametric geometry,” Microwave and Optical Technology Letter S, vol. 7, no. 16, pp. 760-765, 1994.

H. Fangjing, N. Zaiping, and H. Jun, “An efficient parallel multilevel fast multipole algorithm for large-scale scattering problems,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 25, no. 4, pp. 381-387, 2010.

J. M. Song, C.-C. Lu, and W. C. Chew, “Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects,” IEEE Transactions on Antennas Propagation, vol. 45, no. 10, pp. 1488-1493, 1997.

M. Chen, R. Chen, Z. Fan, and D. Ding, “Accelerating the multilevel fast multipole method with parallel preconditioner for largescale scattering problems,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 26, no. 10, pp. 815-822, 2011.

B. Dembart and E. Yip, “The accuracy of fast multipole methods for Maxwell’s equations,” IEEE Comput. Sci. Eng., vol. 5, no. 3, pp. 48-56, 1998.

D. Ding, S. Tao, and R. Chen, “Fast analysis of finite and curved frequencyǦ selective surfaces using the VSIE with MLFMA,” International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, vol. 24, no. 5, pp. 425-436, 2011.

M. Bebendorf, “Approximation of boundary element matrices,” Numerische Mathematik, vol. 86, no. 4, pp. 565-589, 2000.

K. Zhao, M. N. Vouvakis, and J. F. Lee, “The adaptive cross approximation algorithm for accelerated method of moments computations of EMC problems,” IEEE Transactions on Electromagnetic Compatibility, vol. 47, no. 4, pp. 763-773, 2005.

J. M. Tamayo, A. Heldring, and J. M. Rius, “Multilevel adaptive cross approximation (MLACA),” IEEE Transactions on Antennas Propagation, vol. 59, no. 12, pp. 4600-4608, Feb. 2011.

Z. N. Jiang, R. S. Chen, Z. H. Fan, Y. Y. An, M. M. Zhu, and K. W. Leung, “Modified adaptive cross approximation algorithm for analysis of electromagnetic problems,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 26, no. 2, pp. 160-169, 2011.

J. Yuan, Z. Niu, Z. Li, and C. Gu, “Electromagnetic scattering by arbitrarily shaped PEC targets coated with anisotropic media using equivalent dipole-moment method,” Journal of Infrared Millimeter, and Terahertz Waves, vol. 31, no. 6, pp. 744-752, 2010.

J. Yuan and K. Su, “Electromagnetic radiation from arbitrarily shaped microstrip antenna using the equivalent dipole-moment method,” International Journal of Antennas and Propagation, vol. 2012, Article ID 181235, 2012.

X. Chen, C. Gu, J. Ding, X. Deng, Z. Niu, and Z. Li, “An equivalent dipole-moment method based multilevel fast multipole algorithm for dielectric objects,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 27, no. 5, pp. 408- 412, 2012.

S. M. Rao and D. R. Wilton, “Transient scattering by conducting surfaces of arbitrary shape,” IEEE Transactions on Antennas Propagation, vol. 39, no. 1, pp. 56-61, Jan. 1991.

S. M. Rao and T. K. Sarkar, “Numerical solution of time domain integral equations for arbitrarily shaped conductor/dielectric composite bodies,” IEEE Trans. Antennas Propag., vol. 50, no. 12, pp. 1831-1837, 2002.

P. R. Amestoy, I. S. Duff, J. Koster, and J.-Y. L’Excellent, “A fully asynchronous multifrontal solver using distributed dynamic scheduling,” SIAM Journal on Matrix Analysis and Applications, vol. 23, pp. 15-41, 2001.

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Published

2021-08-22

How to Cite

[1]
Y. L. . Hu, Z. H. . Fan, D. Z. . Ding, and R. S. . Chen, “Hybrid MLFMA/MLACA for Analysis of Electromagnetic Scattering from Inhomogeneous High-Contrast Objects”, ACES Journal, vol. 30, no. 07, pp. 765–772, Aug. 2021.

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