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International Journal of Antennas and Propagation
Volume 2017, Article ID 9640136, 8 pages
https://doi.org/10.1155/2017/9640136
Research Article

Acceleration of Augmented EFIE Using Multilevel Complex Source Beam Method

Department of Microwave Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 610054, China

Correspondence should be addressed to Jun Hu; nc.ude.ctseu@nujuh

Received 20 April 2017; Accepted 12 June 2017; Published 13 July 2017

Academic Editor: Song Guo

Copyright © 2017 Lianning Song et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. F. Harrington and J. L. Harrington, Field Computation by Moment Methods, Oxford University Press, Oxford, UK, 1996.
  2. Z. G. Qian and W. C. Chew, “A quantitative study on the low frequency breakdown of EFIE,” Microwave and Optical Technology Letters, vol. 50, no. 5, pp. 1159–1162, 2008. View at Publisher · View at Google Scholar · View at Scopus
  3. F. P. Andriulli, “Loop-star and loop-tree decompositions: analysis and efficient algorithms,” IEEE Transactions on Antennas and Propagation, vol. 60, no. 5, pp. 2347–2356, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  4. S. Yan, J.-M. Jin, and Z. Nie, “EFIE analysis of low-frequency problems with loop-star decomposition and Calderón multiplicative preconditioner,” IEEE Transactions on Antennas and Propagation, vol. 58, no. 3, pp. 857–867, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  5. M. Taskinen and P. Yla-Oijala, “Current and charge integral equation formulation,” IEEE Transactions on Antennas and Propagation, vol. 54, no. 1, pp. 58–67, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  6. D. Gope, A. Ruehli, and V. Jandhyala, “Solving low-frequency EM-CKT problems using the PEEC method,” IEEE Transactions on Advanced Packaging, vol. 30, no. 2, pp. 313–320, 2007. View at Publisher · View at Google Scholar · View at Scopus
  7. A. Das and D. Gope, “Modified SPIE formulation for low-frequency stability of electric field integral equation,” in Proceedings of the 5th IEEE Applied Electromagnetics Conference (AEMC '15), Guwahati, India, December 2015. View at Publisher · View at Google Scholar · View at Scopus
  8. Z. G. Qian and W. C. Chew, “An augmented electric field integral equation for high-speed interconnect analysis,” Microwave and Optical Technology Letters, vol. 50, no. 10, pp. 2658–2662, 2008. View at Publisher · View at Google Scholar · View at Scopus
  9. Z.-G. Qian and W. C. Chew, “Fast full-wave surface integral equation solver for multiscale structure modeling,” IEEE Transactions on Antennas and Propagation, vol. 57, no. 11, pp. 3594–3601, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  10. Y. P. Chen, L. Jiang, Z.-G. Qian, and W. C. Chew, “Modeling electrically small structures in layered medium with augmented EFIE method,” in Proceedings of the IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011, pp. 3218–3221, Spokane, Wash, USA, July 2011. View at Publisher · View at Google Scholar · View at Scopus
  11. Y. G. Liu, W. C. Chew, L. Jiang, and Z. Qian, “A memory saving fast A-EFIE solver for modeling low-frequency large-scale problems,” Applied Numerical Mathematics, vol. 62, no. 6, pp. 682–698, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  12. Z.-G. Qian and W. C. Chew, “Enhanced A-EFIE with perturbation method,” IEEE Transactions on Antennas and Propagation, vol. 58, no. 10, pp. 3256–3264, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  13. Z.-H. Ma, L. J. Jiang, and W. C. Chew, “Loop-tree free augmented equivalence principle algorithm for low-frequency problems,” Microwave and Optical Technology Letters, vol. 55, no. 10, pp. 2475–2479, 2013. View at Publisher · View at Google Scholar · View at Scopus
  14. K.-J. Xu, X.-M. Pan, and X.-Q. Sheng, “An augmented EFIE with discontinuous Galerkin discretization,” in Proceedings of the IEEE International Conference on Computational Electromagnetics, ICCEM 2016, pp. 106–108, Guangzhou, China, February 2016. View at Publisher · View at Google Scholar · View at Scopus
  15. J. S. Zhao and W. C. Chew, “Applying LF-MLFMA to solve complex PEC structures,” Microwave and Optical Technology Letters, vol. 28, no. 3, pp. 155–160, 2001. View at Publisher · View at Google Scholar · View at Scopus
  16. Y. Zheng, Y. Zhao, Z. Nie, and Q. Cai, “Full-wave fast solver for circuit devices modeling,” Applied Computational Electromagnetics Society Journal, vol. 30, no. 10, pp. 1115–1121, 2015. View at Google Scholar · View at Scopus
  17. D. Z. Ding, Y. Shi, Z. N. Jiang, and R. S. Chen, “Augmented EFIE with adaptive cross approximation algorithm for analysis of electromagnetic problems,” International Journal of Antennas and Propagation, vol. 2013, Article ID 487276, 9 pages, 2013. View at Publisher · View at Google Scholar
  18. M. M. Jia, S. Sun, and W. C. Chew, “Accelerated A-EFIE with perturbation method using fast fourier transform,” in Proceedings of the IEEE Antennas and Propagation Society International Symposium (APSURSI '14), pp. 2148-2149, Memphis, Tenn, USA, July 2014. View at Publisher · View at Google Scholar · View at Scopus
  19. K. Tap, P. H. Pathak, and R. J. Burkholder, “Complex source beam-moment method procedure for accelerating numerical integral equation solutions of radiation and scattering problems,” IEEE Transactions on Antennas and Propagation, vol. 62, no. 4, part 2, pp. 2052–2062, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  20. K. Tap, Complex source point beam expansions for some electromagnetic radiation and scattering problems [Ph.D. thesis], The Ohio State University, Columbus, Ohio, USA, 2007.
  21. E. Martini and S. Maci, “Generation of complex source point expansions from radiation integrals,” Progress in Electromagnetics Research, vol. 152, no. 3, pp. 17–31, 2015. View at Publisher · View at Google Scholar · View at Scopus
  22. Z. H. Fan, X. Hu, and R. S. Chen, “Multilevel complex source beam method for electromagnetic scattering problems,” IEEE Antennas and Wireless Propagation Letters, vol. 14, pp. 843–846, 2015. View at Publisher · View at Google Scholar · View at Scopus
  23. K. C. Wang, Z. H. Fan, M. M. Li, and R. S. Chen, “An effective MoM Solution with nested complex source beam method for electromagnetic scattering problems,” IEEE Transactions on Antennas and Propagation, vol. 64, no. 6, pp. 2546–2551, 2016. View at Publisher · View at Google Scholar · View at MathSciNet
  24. T. B. Hansen and G. Kaiser, “Huygens' principle for complex spheres,” IEEE Transactions on Antennas and Propagation, vol. 59, no. 10, pp. 3835–3847, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  25. Ö. Ergül and L. Gürel, The Multilevel Fast Multipole Algorithm (MLFMA) for Solving Large-Scale Computational Electromagnetics Problems, John Wiley & Sons, Hoboken, NJ, USA, 2014.