Full-Wave Fast Solver for Circuit Devices Modeling

Authors

  • Yuteng Zheng Department of Electrical Engineering University of Electronic Science and Technology of China, Chengdu, 611731, China
  • Yanwen Zhao Department of Electrical Engineering University of Electronic Science and Technology of China, Chengdu, 611731, China
  • Zaiping Nie Department of Electrical Engineering University of Electronic Science and Technology of China, Chengdu, 611731, China
  • Qiangming Cai Department of Electrical Engineering University of Electronic Science and Technology of China, Chengdu, 611731, China

Keywords:

Fast algorithm, low-frequency problem, method of moments

Abstract

The analysis of complex circuit components with electrically small size is an important problem for radio frequency circuit modeling. In this paper, we present a fast solver which is based on low-frequency stable integral equation and accelerated with the multilevel accelerated Cartesian expansion algorithm (MLACEA). MLACE algorithm is usually based on electric field integral equation which suffers from lowfrequency breakdown problems. To keep the algorithm stable, the augmented electric field integral equation (AEFIE) is used in our solver. Regarding the truncation order of the expansion, the efficiency and accuracy of MLACEA are investigated. By adjusting the truncation order, we can keep the algorithm in good performance. Numerical examples show the efficiency and the capability of the proposed method.

Downloads

Download data is not yet available.

References

M. S. Mohamed Ali, B. Bycraft, C. Schlosser, B. Assadsangabi, and K. Takahata, “An out-of-plane spiral-coil inductor formed using locally controlled bimorph actuation,” Micro. Nano Lett., vol. 6, pp. 1016-1018, Dec. 2011.

S. J. Kim, J. J. Lee, H. J. Kang, J. B. Choi, Y-S. Yu, Y. Takahashi, and D. G. Hasko, “One electronbased smallest flexible logic cell,” Appl. Phys. Lett., vol. 101, 183101, 2012.

S. F. Al-Sarawi, D. Abbott, and P. D. Franzon, “A review of 3D packaging technology,” IEEE Trans. CPMT, vol. 21. pp. 2-14, Jan. 1998.

R. F. Harrington, Field Computation by Moment Methods, IEEE Press, New York, 1993.

S. M. See and J-F. Lee, “A fast IE-FFT algorithm for solving PEC scattering problems,” IEEE Tram. Magn., vol. 41, pp. 1476-1479, May 2005.

V. I. Okhmatovski, J. Morsey, and A. C. Cangellaris, “Loop-tree implementation of the adaptive integral method (AIM) for numerically-stable, broadband, fast electromagnetic modeling,” IEEE Trans. Antennas Propagat., vol. 52, pp. 2130-2140, Aug. 2004.

J. S. Zhao and W. C. Chew. “Applying LFMLFMA to solve complex PEC structures,” Micro. Opt. Technol. Lett., vol. 28, pp. 155-160, Feb. 2001.

B. Shanker and H. Huang, “Accelerated Cartesian expansions - a fast method for computing of potential of the form r - ν for all real ν,” J. Comput. Phys., vol. 226, pp. 732-753, Jan. 2007.

M. Vikram, H. Huang, B. Shanker, and T. Van, “A novel wideband FMM for fast integral equation solution of multiscale problems in electromagnetics,” IEEE Trans. Antennas Propag., vol. 57, pp. 2094- 2104, July 2009.

Z. G. Qian and W. C. Chew, “Fast full-wave surface integral equation solver for multiscale structure modeling,” IEEE Trans. Antennas Propag., vol. 57, pp. 3594-3601, Nov. 2009.

Z. G. Qian and W. C. Chew, “A quantitative study on the low-frequency breakdown of EFIE,” Micro. Opt. Technol. Lett., vol. 50. pp. 1159-1162, May 2008.

J. S. Zhao and W. C. Chew, “Integral equation solution of Maxwell’s equations from zero frequency to microwave frequencies,” IEEE Trans. Antennas Propagat., vol. 48, pp. 1635-1645, Oct. 2000.

M. Taskinen and P. Ylä-Oijala, “Current and charge integral equation formulation,” IEEE Trans. Antennas Propagat., vol. 54, pp. 58-67, Jan. 2006.

D. Gope, A. R. Ruehli, and V. Jandhyala, “Solving low-frequency EM-CKT problems using the PEEC method,” IEEE Trans. Adv. Packag., vol. 30, pp. 313-320, May 2007.

Z. G. Qian and W. C. Chew, “Enhanced A-EFIE with perturbation method,” IEEE Trans. Antennas Propag., vol. 58, pp. 3256-3264, Dec. 2010

J. Cheng and R. J. Adams, “Electric field-based surface integral constraints for Helmholtz decompositions of the current on a conductor,” IEEE Trans. Antennas Propag., vol. 61, pp. 4632- 4640, Sep. 2013.

N. Hendijani, J. Cheng, and R. J. Adams, “Combined field integral equation using a constraint-based Helmholtz decomposition,” IEEE Trans. Antennas Propag., vol. 62, pp. 1500-1503, Mar. 2014.

Downloads

Published

2021-08-22

How to Cite

[1]
Y. . Zheng, Y. . Zhao, Z. . Nie, and Q. . Cai, “Full-Wave Fast Solver for Circuit Devices Modeling”, ACES Journal, vol. 30, no. 10, pp. 1115–1121, Aug. 2021.

Issue

Section

Articles