Efficient sampling strategy driven surrogate-based multi-objective optimization for broadband microwave metamaterial absorbers

doi:10.23919/JSEE.2024.000036

Journal of Systems Engineering and Electronics ›› 2024, Vol. 35 ›› Issue (6): 1388-1396.doi: 10.23919/JSEE.2024.000036

• • 上一篇

收稿日期:2022-11-08 接受日期:2024-01-04 出版日期:2024-12-18 发布日期:2025-01-14

Efficient sampling strategy driven surrogate-based multi-objective optimization for broadband microwave metamaterial absorbers

Sixing LIU¹(), Changbao PEI¹(), Xiaodong YE¹(), Hao WANG¹(), Fan WU²(), Shifei TAO¹^,*()

¹ School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China
² School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, China

Received:2022-11-08 Accepted:2024-01-04 Online:2024-12-18 Published:2025-01-14
Contact: Shifei TAO E-mail:sixingliu@njust.edu.cn;cbpei@njust.edu.cn;13851545785@163.com;haowang@mail.njust.edu.cn;wufan@njust.edu.cn;s.tao@njust.edu.cn
About author:
LIU Sixing was born in 1997. She received her B.E. degree in measurement and control technology and instrumentation program in Hubei University of Technology, Wuhan, China, in 2019. She is currently pursuing her Ph.D. degree in electric science and technology with Nanjing University of Science and Technology. Her current research interests include metasurfaces design and surrogate model optimization algorithm. E-mail: sixingliu@njust.edu.cn

PEI Changbao was born in 1997. He received his B.S. degree from West Anhui University in 2020. He is pursuing his M.S. degree in the Department of Electrical Engineering at Nanjing University of Science and Technology. His main research interests include designs of metamaterial absorber and radar cross section reduction technology. E-mail: cbpei@njust.edu.cn

YE Xiaodong was born in 1967. He received his B.S. degree in Nanjing University of Posts and Telecommunications, China, in 1990, M.Sc. degree in the 14th Institute of China Electronics Technology Group Corporation, China, in 1993, and D.Sc. degree in Nanjing University of Aeronautics and Astronautics in 1997. His main research interests include signal processing and radar technology. E-mail: 13851545785@163.com

WANG Hao was born in 1980. He received his B.S. and Ph.D. degrees in electrical engineering from Nanjing University of Science and Technology, Nanjing, China, in 2002 and 2009, respectively. He is a professor with the School of Electronic and Optical Engineering, Nanjing University of Science and Technology. His current research interests include microstrip antennas for wireless communications and terminal antenna subsystem for compass navigation satellite system. E-mail: haowang@mail.njust.edu.cn

WU Fan was born in 1988. He received his B.S. degree in safety technology and engineering from Beijing University of Chemical Technology, Beijing, China, in 2013. He received his Ph.D. degree in disaster prevention and mitigation and protection engineering from Army Engineering University of PLA, Nanjing, China, in 2017. He is an associate professor in the School of Mechanical Engineering, Nanjing University of Science and Technology. His current research interests include design and development of absorbing and electromagnetic shielding materials. E-mail: wufan@njust.edu.cn

TAO Shifei was born in 1987. He received his B.Sc. and Ph.D. degrees from the Department of Communication Engineering, Nanjing University of Science and Technology (NJUST), Nanjing, China, in 2008 and 2014, respectively. Since 2017, he has been with NJUST, and now he is an associate professor in the School of Electronic and Optical Engineering, NJUST. From 2015 to 2016, he was a postdoctoral research associate in the Department of Electronic and Computer Engineering in Northeastern University, Boston, USA. His current research interests are in the electromagnetic theory and antenna technology, synthetic aperture radar images processing. E-mail: s.tao@njust.edu.cn
Supported by:
This work was supported by the National Key Research and Development Program (2021YFB3502500).

摘要/Abstract

Abstract:

Multi-objective optimization (MOO) for the microwave metamaterial absorber (MMA) normally adopts evolutionary algorithms, and these optimization algorithms require many objective function evaluations. To remedy this issue, a surrogate-based MOO algorithm is proposed in this paper where Kriging models are employed to approximate objective functions. An efficient sampling strategy is presented to sequentially capture promising samples in the design region for exact evaluations. Firstly, new sample points are generated by the MOO on surrogate models. Then, new samples are captured by exploiting each objective function. Furthermore, a weighted sum of the improvement of hypervolume (IHV) and the distance to sampled points is calculated to select the new sample. Compared with two well-known MOO algorithms, the proposed algorithm is validated by benchmark problems. In addition, two broadband MMAs are applied to verify the feasibility and efficiency of the proposed algorithm.

Key words: multi-objective optimization (MOO), Kriging model, microwave metamaterial absorber (MMA), surrogate models, sampling strategy

. [J]. Journal of Systems Engineering and Electronics, 2024, 35(6): 1388-1396.

Sixing LIU, Changbao PEI, Xiaodong YE, Hao WANG, Fan WU, Shifei TAO. Efficient sampling strategy driven surrogate-based multi-objective optimization for broadband microwave metamaterial absorbers[J]. Journal of Systems Engineering and Electronics, 2024, 35(6): 1388-1396.

图/表 11

参考文献 57

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Metrics	Benchmark	NSGA-Ⅱ				Multi-objective EI_e				The proposed ESS-SBMO
Metrics	Benchmark	Mean	Best	Worst	SD	Mean	Best	Worst	SD	Mean	Best	Worst	SD
ONVG	ZDT1	24	35	15	7.2450	12	15	10	1.3748	52	59	40	5.3301
	ZDT2	10	19	3	4.9689	9	11	3	2.4166	56	63	50	4.5387
	ZDT3	24	27	18	3.1385	11	13	9	1.2207	37	55	29	7.1421
HV	ZDT1	88.2488	93.1778	82.9084	2.8492	99.5173	99.5857	99.4345	0.0422	99.6258	99.6304	99.6210	0.0034
	ZDT2	77.7940	82.2856	69.9098	3.9883	98.9736	99.2329	98.2966	0.3335	99.2932	99.3038	99.2831	0.0066
	ZDT3	91.7909	101.3723	86.2873	4.5725	106.5988	106.9086	105.9051	0.3490	106.9370	106.9840	106.8404	0.0469

Metrics	S.M.	NSGA-Ⅱ	Multi-objective EI_e	The proposed ESS-SBMO
ONVG	Mean	9	18	30
	Best	12	18	30
	Worst	1	17	30
	SD	3.9756	0.4714	0
HV	Mean	1.6150	2.0401	2.0522
	Best	1.8230	2.0501	2.0572
	Worst	1.0633	2.0323	2.0497
	SD	0.2332	0.0075	0.0033

Objective	Original	Optimal	Improvement/%
Absorption bandwidth/%	111.9	116.7	4.3
Thickness/mm	7.50	6.41	−14.5

Efficient sampling strategy driven surrogate-based multi-objective optimization for broadband microwave metamaterial absorbers

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