Low-Frequency Transmitted Fields of a Source Inside a Magnetic Shell with Large Conductivity

Authors

  • Shifeng Huang Key Laboratory of Ministry of Education of Design and Electromagnetic Compatibility of High Speed Electronic Systems
  • Gaobiao Xiao Key Laboratory of Ministry of Education of Design and Electromagnetic Compatibility of High Speed Electronic Systems
  • Junfa Mao Shanghai Jiao Tong University, Shanghai 200240, China

DOI:

https://doi.org/10.13052/2022.ACES.J.370213

Keywords:

Large conductivity;, loop-star;, low frequency;, magnetic material;, transmitted fields

Abstract

The method to evaluate the transmitted fields of a source inside a simply connected magnetic shell with large but finite conductivity at low frequencies is proposed in this paper. When modeling the magnetic shell with large conductivity, it is regarded as a penetrable object. Electric field integral equation (EFIE) is selected for the exterior region problem and magnetic field integral equation (MFIE) is chosen for the interior region problem. Each operator is decomposed with loop-star functions to overcome the problem of low-frequency breakdown. Numerical results verify the accuracy of the proposed method.

Downloads

Download data is not yet available.

Author Biographies

Shifeng Huang, Key Laboratory of Ministry of Education of Design and Electromagnetic Compatibility of High Speed Electronic Systems

Shifeng Huang received the B.S. and M.S. degrees from Wuhan University, Wuhan, China, in 2014 and 2017, respectively. He is currently working toward the Ph.D. degree in electronic engineering with Shanghai Jiao Tong University, Shanghai, China.

His current research interests include computational electromagnetics and its application in electromagnetic compatibility and scattering problems.

Gaobiao Xiao, Key Laboratory of Ministry of Education of Design and Electromagnetic Compatibility of High Speed Electronic Systems

Gaobiao Xiao received the B.S. degree from the Huazhong University of Science and Technology, Wuhan, China, in 1988, the M.S. degree from the National University of Defense Technology, Changsha, China, in 1991, and the Ph.D. degree from Chiba University, Chiba, Japan, in 2002.

He has been a faculty member since 2004 with the Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai, China. His research interests are computational electromagnetics, coupled thermo-electromagnetic analysis, microwave filter designs, fiber-optic filter designs, phased array antennas, and inverse scattering problems.

Junfa Mao, Shanghai Jiao Tong University, Shanghai 200240, China

Junfa Mao was born in 1965. He received the B.S. degree in radiation physics from the National University of Defense Technology, Changsha, China, in 1985, the M.S. degree in experimental nuclear physics from the Shanghai Institute of Nuclear Research, Chinese Academy of Sciences, Beijing, China, in 1988, and the Ph.D. degree in electronic engineering from Shanghai Jiao Tong University, Shanghai, China, in 1992.

Since 1992, he has been a Faculty Member with Shanghai Jiao Tong University. He was a Visiting Scholar with the Chinese University of Hong Kong, Hong Kong, from 1994 to 1995, and a Postdoctoral Researcher with the University of California at Berkeley, Berkeley, CA, USA, from 1995 to 1996. He has authored or coauthored more than 500 articles. His research interests include interconnect and package problems of integrated circuits and systems, and analysis and design of microwave components and circuits.

References

M. A. Holloway, Z. Dilli, and N. Seekhao, and J. C. Rodgers “Study of basic effects of HPM pulses in digital CMOS integrated circuit inputs,” IEEE Trans. Electromagn. Compat., vol. 54, no. 5, pp. 1017-1027, Oct. 2012.

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

W. M. Rucker, R. Hoschek, and K. R. Richter, “Various BEM formulations for calculating eddy currents in terms of field variables,” IEEE Trans. Magn., vol. 31, no. 3, pp. 1336-1341, May 1995.

D. Zheng, “Three-dimensional eddy current analysis by the boundary element method,” IEEE Trans. Magn., vol. 33, no. 2, pp. 1354-1357, Mar. 1997.

B. Song, Z. Zhu, J. D. Rockway, and J. White, “A new surface integral formulation for wideband impedance extraction of 3-D structures,” 2003 IEEE/ACM International Conference on Computer Aided Design, San Jose, USA, Nov. 2003.

Y.-H. Chu and W. C. Chew, “A robust surface-integral-equation formulation for conductive media,” Microw. Opt. Technol. Lett., vol. 46, no. 2, pp. 109-114, Jul. 2005.

Z. G. Qian, W. C. Chew, and R. Suaya, “Generalized impedance boundary condition for conductor modeling in surface integral equation,” IEEE Trans. Microw. Theory Techn., vol. 55, no. 11, pp. 2354-2364, Nov. 2007.

D. De Zutter and L. Knockaert, “Skin effect modeling based on a differential surface admittance operator,” IEEE Trans. Microw. Theory Tech., vol. 53, no. 8, pp. 2526-2538, Aug. 2005.

T. L. Chhim, A. Merlini, L. Rahmouni, J. E. Ortiz Guzman, and F. P. Andriu, “Eddy current modeling in multiply connected regions via a full-wave solver based on the quasi-Helmholtz projectors,” IEEE Open J. Antennas Propag., vol. 1, pp. 534-548, 2020.

T. Xia, H. Gan, M. Wei, W. C. Chew, H. Braunisch, Z. Qian, and K. Ay, “An integral equation modeling of lossy conductors with the enhanced augmented electric field integral equation,” IEEE Trans. Antennas Propag., vol. 65, no. 8, pp. 4181-4190, Aug. 2017.

L. Zhang and M. S. Tong, “Low-frequency analysis of lossy interconnect structures based on two-region augmented volume-surface integral equations,” IEEE Trans. Antennas Propag. Early Access. doi: 10.1109/TAP.2021.3118849.

S. Sharma and P. Triverio, “SLIM: A well-conditioned single-source boundary element method for modeling lossy conductors in layered media,” IEEE Antennas Wireless Propag. Lett., vol. 19, no. 12, pp. 2072-2076, Dec. 2020.

M. Huynen, K. Y. Kapusuz, X. Sun, G. Van der Plas, E. Beyne, and D. Danir̈l, “Entire domain basis function expansion of the differential surface admittance for efficient broadband characterization of lossy interconnects,” IEEE Trans. Microw. Theory Techn., vol. 68, no. 4, pp. 1217-1233, Apr. 2020.

S. Sharma and P. Triverio, “Electromagnetic Modeling of Lossy Materials with a Potential-Based Boundary Element Method,” IEEE Antennas Wireless Propag. Lett., Early Access. doi: 10.1109/LAWP.2021.3132626.

S. M. Rao, D. R. Wilton, and A. W. Glisson, “Electromagnetic scattering by surfaces of arbitrary shape,” IEEE Trans. Antennas Propag., vol. 30, no. 3, pp. 409-418, May 1982.

S. Y. Chen, W. C. Chew, J. M. Song, and J.-S. Zhao, “Analysis of low frequency scattering from penetrable scatterers,” IEEE Trans. Geosci. Remote Sens., vol. 39, no. 4, pp. 726-735, Apr. 2001.

S. Yan, J. M. Jin, and Z. Nie, “EFIE analysis of low-Frequency problems with loop-star decomposition and Caldero´n multiplicative preconditioner,” IEEE Trans. Antennas Propag., vol. 58, no. 3, pp. 857-867, Mar. 2010.

Downloads

Published

2022-02-28

How to Cite

[1]
S. . Huang, G. . Xiao, and J. . Mao, “Low-Frequency Transmitted Fields of a Source Inside a Magnetic Shell with Large Conductivity”, ACES Journal, vol. 37, no. 02, pp. 238–245, Feb. 2022.