Characteristic Mode Analysis for Thin Dielectric Sheets with Alternative Surface Integral Equation

JIA Chunlai; HE Zi; DING Dazhi; GUAN Ling; AI Xia; LIU Jiaqi; CHEN Xuewen

doi:10.1049/cje.2022.00.246

Volume 31 Issue 6

Nov. 2022

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JIA Chunlai, HE Zi, DING Dazhi, et al., “Characteristic Mode Analysis for Thin Dielectric Sheets with Alternative Surface Integral Equation,” Chinese Journal of Electronics, vol. 31, no. 6, pp. 1181-1188, 2022, doi: 10.1049/cje.2022.00.246

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JIA Chunlai, HE Zi, DING Dazhi, et al., “Characteristic Mode Analysis for Thin Dielectric Sheets with Alternative Surface Integral Equation,” Chinese Journal of Electronics, vol. 31, no. 6, pp. 1181-1188, 2022, doi: 10.1049/cje.2022.00.246

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Characteristic Mode Analysis for Thin Dielectric Sheets with Alternative Surface Integral Equation

doi: 10.1049/cje.2022.00.246

1.
Department of Communication Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
2.
Science and Technology on Electromagnetic Scattering Laboratory, Beijing Institute of Environmental Features, Beijing 100854, China
3.
National Key Laboratory of Science and Technology on Test Physics and Numerical Mathematics, Beijing 100076, China
4.
School of Physics and Wuhan National Laboratory for Optoelectronics, Huazhong University of Science and Technology, Wuhan 430074, China

Funds: This work was supported by the Natural Science Foundation of China (62235006, 61890541, 62025109, 61890545, 61890540, 61931021)

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Author Bio:
Chunlai JIA received the M.S. degree in power machinery and engineering from the School of Energy Power and Mechanical Engineering, North China Electric Power University, Baoding, China, in 2014. During 2014 to 2018, he was a Power Engineer with Huaneng Shang’an Power Plant, Shijiazhuang, China. He is currently pursuing the Ph.D. degree in electronic science and technology with the Department of Communication Engineering, Nanjing University of Science and Technology, Nanjing, China. His current research interests include computational electromagnetics, antenna, and array optimizations

Zi HE (corresponding author) received the B.S. and Ph.D. degrees in electronic information engineering from the School of Electrical Engineering and Optical Technique, Nanjing University of Science and Technology, Nanjing, China, in 2011 and 2016, respectively. She has worked as a Visiting Scholar in the University of Illinois at Urbana and Champaign (UIUC) from September 2015 to September 2016. She works as a Postdoctor at the Science and Technology on Electromagnetic Scattering Laboratory, Beijing Institute of Environmental Features. She is an Associate Professor with the Department of Communication Engineering, Nanjing University of Science and Technology. Her research interests include antenna, RF-integrated circuits, and computational electromagnetics. (Email: 15850554055@163.com)

Dazhi DING received the B.S. and Ph.D. degrees in electromagnetic field and microwave technique from the Nanjing University of Science and Technology (NJUST), Nanjing, China, in 2002 and 2007, respectively. In 2005, he was with the Center of wireless Communication, City University of Hong Kong, Hong Kong, as a Research Assistant. He joined the Department of Electrical Engineering, NJUST, where he became a Lecturer in 2007. In 2014, he was promoted to Full Professor in NJUST, where he was appointed as the Head of the Department of Communication Engineering, in September 2014. He is the author or coauthor of over 30 technical articles. He has authored or coauthored more than 80 articles. His current research interests include computational electromagnetics and electromagnetic scattering and radiation. Dr. Ding was a recipient of the National Excellent Youth Fund by the National Science Foundation of China (NSFC) in 2020

Ling GUAN was born in Nanjing, China. He received the B. S. degree and Ph.D. degree in communication engineering from the School of Electrical Engineering and Optical Technique, Nanjing University of Science and Technology, Nanjing, China, in 2014 and 2020, respectively. He is now working as a Senior Engineer at the Science and Technology on Electromagnetic Scattering Laboratory, Beijing Institute of Environmental Features. His research interests are computational electromagnetics, EM scattering, and antennas

Xia AI was born in Yulin, China, in 1986. He received the Ph.D. degree in electromagnetics and microwave technology from Xidian University, Xi’an, China, in 2013. He is currently a Senior Engineer with the National Key Laboratory of Science and Technology on Test Physics and Numerical Mathematics. His research interests include computational electromagnetics, radar target recognition, and electromagnetic scattering characteristic of complex medium

Jiaqi LIU was born in Yueyang, China, in 1963. He received the Ph.D. degree in circuit and systems from Beihang University, Beijing, China, in 2007. He currently serves as the Vice Director and leading Research Fellow with the National Key Laboratory of Science and Technology on Test Physics and Numerical Mathematics. His research area is signal processing and target recognition

Xuewen CHEN is Full Professor of physics at the Huazhong Unviersity of Science and Technology. He did his undergraduate study and doctoral work both in Zhejiang University, Hangzhou, China. He carried out postdoctoral research in nano-optics and single-molecule microscopy at the Laboratory for Physical Chemistry at ETH Zurich. From 2011 to 2014, with a brief stint as a Visiting Scholar at Ginzton Lab of Stanford in 2013, he had work as a Research Scientist at the Max-Planck Institute for the Science of Light. In 2014, he joined Huazhong University of Science and Technology as National Scholar (young) and Professor of Physics. His independent research includes theoretical, computational and experimental studies of nano-optics and quantum optics with single quantum systems
Received Date: 2022-07-30
Accepted Date: 2022-10-31

Available Online: 2022-11-12

Publish Date: 2022-11-05

Abstract

Abstract

When the dielectric sheet is electrically thin in the normal direction, the conventional volume integral equation (VIE) can be approximately simplified to the surface one. On this basis, a novel surface integral equation-based formulation is presented for analyzing characteristic mode (CM) of thin dielectric sheets. The resultant CMs are expressed with tangential and normal components of electric volume currents, which are more intuitive than the conventional VIE-based one. Due to the application of volume equivalence principle, the proposed formulation is immune to non-physical modes. The CMs of typical thin dielectric bodies, including the dielectric substrate and radome, are analyzed to show that the proposed formulation is computationally efficient with encouraging accuracy.
- Characteristic mode,
- Thin dielectric sheet,
- Surface integral equation,
- Generalized eigenvalue equation

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References(30)

References

[1]	F. A. Dicandia, S. Genovesi, and A. Monorchio, “Advantageous exploitation of characteristic modes analysis for the design of 3-D null-scanning antennas,” IEEE Transactions on Antennas and Propagation, vol.65, no.8, pp.3924–3934, 2017. doi: 10.1109/TAP.2017.2716402
[2]	Y. Chen and C.-F. Wang, Characteristic Modes: Theory and Applications in Antenna Engineering, John Wiley & Sons, Hoboken, USA, 2015.
[3]	L. W. Guo, Y. K. Chen, and S. W. Yang, “Scattering decomposition and control for fully dielectric-coated PEC bodies using characteristic modes,” IEEE Antennas and Wireless Propagation Letters, vol.17, no.1, pp.118–121, 2018. doi: 10.1109/LAWP.2017.2777496
[4]	R. J. Garbacz, “Modal expansions for resonance scattering phenomena,” Proceedings of the IEEE, vol.53, no.8, pp.856–864, 1965. doi: 10.1109/PROC.1965.4064
[5]	R. Harrington and J. Mautz, “Theory of characteristic modes for conducting bodies,” IEEE Transactions on Antennas and Propagation, vol.19, no.5, pp.622–628, 1971. doi: 10.1109/TAP.1971.1139999
[6]	A. H. Nalbantoğlu, “New computation method for characteristic modes,” Electronics Letters, vol.18, pp.994–996, 1982. doi: 10.1049/el:19820681
[7]	Q. I. Dai, Q. S. Liu, H. U. I. Gan, et al., “Combined field integral equation-based theory of characteristic mode,” IEEE Transactions on Antennas and Propagation, vol.63, no.9, pp.3973–3981, 2015. doi: 10.1109/TAP.2015.2452938
[8]	J. Lappalainen, P. Ylä-Oijala, D. C. Tzarouchis, et al., “Resonances of characteristic modes for perfectly conducting objects,” IEEE Transactions on Antennas and Propagation, vol.65, no.10, pp.5332–5339, 2017. doi: 10.1109/TAP.2017.2741063
[9]	R. F. Harrington, J. R. Mautz, and Y. Chang, “Characteristic modes for dielectric and magnetic bodies,” IEEE Transactions on Antennas and Propagation, vol.AP-20, no.2, pp.194–198, 1972. doi: 10.1109/TAP.1972.1140154
[10]	Y. Chang and R. F. Harrington, “A surface formulation for characteristic modes of material bodies,” IEEE Transactions on Antennas and Propagation, vol.25, no.6, pp.789–795, 1977. doi: 10.1109/TAP.1977.1141685
[11]	Q. Wu, “Computation of characteristic modes for dielectric bodies using volume integral equation and interpolation,” IEEE Antennas and Wireless Propagation Letters, vol.16, pp.2963–2966, 2017. doi: 10.1109/LAWP.2017.2756064
[12]	H. Alroughani, J. L. T. Ethier, and D. A. McNamara, “Observations on computational outcomes for the characteristic modes of dielectric objects,” Antennas and Propagation Society International Symposium IEEE (APSURSI), Memphis, TN, USA, pp. 844-845, 2014.
[13]	Z. T. Miers and B. K. Lau, “Computational analysis and verifications of characteristic modes in real materials,” IEEE Transactions on Antennas and Propagation, vol.64, no.7, pp.2595–2607, 2016. doi: 10.1109/TAP.2016.2539387
[14]	Z. T. Miers and B. K. Lau, “On characteristic eigenvalues of complex media in surface integral formulations,” IEEE Antennas and Wireless Propagation Letters, vol.16, pp.1820–1823, 2017. doi: 10.1109/LAWP.2017.2681681
[15]	Y. Chen and C. F. Wang, “Surface integral equation based characteristic mode formulation for dielectric resonators,” IEEE Antennas and Propagation Society International Symposium (APSURSI), Memphis, TN, USA, pp.846–847, 2014.
[16]	Y. Chen, “Alternative surface integral equation-based characteristic mode analysis of dielectric resonator antennas,” IET Microwaves, Antennas & Propagation,, vol.10, no.2, pp.193–201, 2016. doi: 10.1049/iet-map.2015.0304
[17]	R. Lian, J. Pan, and S. Huang, “Alternative surface integral equation formulations for characteristic modes of dielectric and magnetic bodies,” IEEE Transactions on Antennas and Propagation, vol.65, no.9, pp.4706–4716, 2017. doi: 10.1109/TAP.2017.2731380
[18]	F. -G. Hu and C. -F. Wang, “Integral equation formulations for characteristic modes of dielectric and magnetic bodies,” IEEE Transactions on Antennas and Propagation, vol.64, no.11, pp.4770–4776, 2016. doi: 10.1109/TAP.2016.2570810
[19]	P. Ylä-Oijala, H. Wallén, D. C. Tzarouchis, et al., “Surface integral equation-based characteristic mode formulation for penetrable bodies,” IEEE Transactions on Antennas and Propagation, vol.66, no.7, pp.3532–3539, 2018. doi: 10.1109/TAP.2018.2835313
[20]	P. Ylä-Oijala and H. Wallén, “PMCHWT-based characteristic mode formulations for material bodies,” IEEE Transactions on Antennas and Propagation, vol.68, no.3, pp.2158–2165, 2020. doi: 10.1109/TAP.2019.2948509
[21]	X. -Y. Guo, R. -Z. Lian, H. -L. Zhang, et al., “Characteristic mode formulations for penetrable objects based on separation of dissipation power and use of single surface integral equation,” IEEE Transactions on Antennas and Propagation, vol.69, no.3, pp.1535–1544, 2021. doi: 10.1109/TAP.2020.3026890
[22]	Q. Wu, “Characteristic mode analysis of thin dielectric objects using the impedance boundary condition,” IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, Boston, MA, USA, pp.1125–1126, 2018.
[23]	R. Harrington and J. Mautz, “An impedance sheet approximation for thin dielectric shells,” IEEE Transactions on Antennas and Propagation, vol.23, no.4, pp.531–534, 1975. doi: 10.1109/TAP.1975.1141099
[24]	I. -T. Chiang and W. C. Chew, “Thin dielectric sheet simulation by surface integral equation using modified RWG and pulse bases,” IEEE Transactions on Antennas and Propagation, vol.54, no.7, pp.1927–1934, 2006. doi: 10.1109/TAP.2006.877180
[25]	S. He, Z. Nie, S. Yan, et al., “Multi-layer TDS approximation used to numerical solution for dielectric objects,” Asia-Pacific Microwave Conference, Hong Kong, China, pp.1–4, 2008.
[26]	X. Niu, Z. Nie, S. He, et al., “Improved multilayer thin dielectric sheet approximation for scattering from electrically large dielectric sheets,” IEEE Antennas and Wireless Propagation Letters, vol.14, pp.779–782, 2015. doi: 10.1109/LAWP.2014.2380852
[27]	C. P. Davis and W. C. Chew, “An alternative to impedance boundary conditions for dielectric-coated PEC surfaces,” IEEE Antennas and Propagation Society International Symposium, Honolulu, HI, USA, pp.2785–2788, 2007.
[28]	S. Q. He, Z. P. Nie, and J. Hu, “Numerical solution of scattering from thin dielectric-coated conductors based on TDS approximation and EM boundary conditions,” Progress in Electromagnetics Research, vol.93, pp.339–354, 2009. doi: 10.2528/PIER09051103
[29]	S. F. Tao, Z. H. Fan, W. J. Liu, et al., “Characteristic mode assisted design of dielectric resonator antennas with feedings,” IEEE Antennas and Wireless Propagation Letters, vol.12, pp.1033–1036, 2013. doi: 10.1109/LAWP.2013.2277757
[30]	P. Ylä-Oijala and H. Wallén, “Theory of characteristic modes for nonsymmetric surface integral operators,” IEEE Transactions on Antennas and Propagation, vol.69, no.3, pp.1505–1512, 2021. doi: 10.1109/TAP.2020.3017437