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Research Article

Judgment of mode crossing avoidance in characteristic mode analysis

, &
Pages 2549-2566 | Received 03 Oct 2021, Accepted 01 Jul 2022, Published online: 08 Jul 2022
 

Abstract

The consistent interpretation of modes is crucial in characteristic mode analysis, which can usually be achieved by mode tracking algorithms. However, the problem of the eigenvalue crossing avoidance is still challenging to solve completely. In this paper, the possible causes of the eigenvalue crossing avoidance are discussed, and divided into two types. According to the characteristics of the modes with the cross avoidance, a comprehensive method for locating the frequency of crossing avoidance is first proposed. Since the crossing avoidance occurs in the case of degenerate mode coupling, the decoupling method is applied to eliminate the mode cross avoidance. Finally, the method’s effectiveness is verified by dealing with crossing avoidance problems of a rectangular conductor, dipole, and skewed plate structure. The proposed method is only related to the mode number to be discussed, and its calculation is time-saving.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The authors are grateful to the supports from the National Natural Science Foundation of China (NSFC) under grant number 62071403.

Notes on contributors

Zefei Sun

Zefei Sun is studying for his Bachelor of Engineering at the School of Electronic Science and Engineering of Xiamen University. His areas of interest include antenna theory, computational electromagnetics and computational acoustics.

Weiwen Li

Weiwen Li (Senior Member, IEEE) received the B.S. degree in electronic engineering from Jilin University, Changchun, China, in 1993, the M.S. degree in material engineering and the Ph.D. degree in electronic engineering from Zhejiang University, Hangzhou, China, in 2002 and 2005, respectively. He is currently an Associate Professor of Electronic Engineering, Xiamen University, China. His research interest includes electromagnetic field theory, antenna technology, electromagnetic metamaterials, and microwave technology.

Qing Huo Liu

Qing Huo Liu (Fellow, IEEE) received the B.S. and M.S. degrees in physics from Xiamen University, Xiamen, China, in 1983 and 1986, respectively, and the Ph.D. degree in electrical engineering from the University of Illinois at Urbana-Champaign, Champaign, IL, USA, in 1989. He was a Research Assistant with the Electromagnetics Laboratory, University of Illinois at Urbana Champaign, from September 1986 to December 1988, where he was a Postdoctoral Research Associate, from January 1989 to February 1990. He was a Research Scientist and the Program Leader of Schlumberger-Doll Research, Ridgefield, CT, USA, from 1990 to 1995. From 1996 to May 1999, he was an Associate Professor with New Mexico State University, Las Cruces, NM, USA. Since June 1999, he has been with Duke University, Durham, NC, USA, where he is currently a Professor of electrical and computer engineering. His research interests include computational electromagnetics and acoustics, inverse problems, and their application in nanophotonics, geophysics, biomedical imaging, and electronic design automation. He has published widely in these areas. Dr. Liu is a fellow of the Acoustical Society of America, the Electromagnetics Academy, and the Optical Society of America. He received the 1996 Presidential Early Career Award for Scientists and Engineers (PECASE) from the White House, the 1996 Early Career Research Award from the Environmental Protection Agency, the 1997 Career Award from the National Science Foundation, the 2017 Technical Achievement Award and the 2018 Computational Electromagnetics Award from the Applied Computational Electromagnetics Society, and the 2018 Harrington-Mittra Award in Computational Electromagnetics from the IEEE Antennas and Propagation Society. In 2018, he also received the University of Illinois at Urbana-Champaign ECE Distinguished Alumni Award. He served as the founding Editor-in-Chief for the IEEE Journal on Multiscale and Multiphysics Computational Techniques. He has served as an IEEE Antennas and Propagation Society Distinguished Lecturer.

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