Efficient and Explicit Fourier Modal Method for Ultrathin Metallic Gratings

LI Jie; SHI Lihua; JIN Xin; ZHANG Qi; RAN Yuzhou; LEI Qi; MA Yao; LIU Yicheng; XIAO Jie; WANG Jianbao

doi:10.1049/cje.2022.00.085

Volume 31 Issue 6

Nov. 2022

Turn off MathJax

Article Contents

Article Navigation > Chinese Journal of Electronics > 2022 > 31(6): 1155-1160

LI Jie, SHI Lihua, JIN Xin, et al. “Efficient and Explicit Fourier Modal Method for Ultrathin Metallic Gratings”. Chinese Journal of Electronics, vol. 31 no. 6. doi: 10.1049/cje.2022.00.085

Citation:

LI Jie, SHI Lihua, JIN Xin, et al. “Efficient and Explicit Fourier Modal Method for Ultrathin Metallic Gratings”. Chinese Journal of Electronics, vol. 31 no. 6. doi: 10.1049/cje.2022.00.085

LI Jie, SHI Lihua, JIN Xin, et al. “Efficient and Explicit Fourier Modal Method for Ultrathin Metallic Gratings”. Chinese Journal of Electronics, vol. 31 no. 6. doi: 10.1049/cje.2022.00.085

Citation:

LI Jie, SHI Lihua, JIN Xin, et al. “Efficient and Explicit Fourier Modal Method for Ultrathin Metallic Gratings”. Chinese Journal of Electronics, vol. 31 no. 6. doi: 10.1049/cje.2022.00.085

PDF( 4053 KB)

Efficient and Explicit Fourier Modal Method for Ultrathin Metallic Gratings

doi: 10.1049/cje.2022.00.085

LI Jie^1
,,
SHI Lihua^1
,,
JIN Xin²,
ZHANG Qi^1
,,
RAN Yuzhou³,
LEI Qi^4
,,
MA Yao¹,
LIU Yicheng^1
,,
XIAO Jie⁵,
WANG Jianbao^1
,

1.
National Key Laboratory on Electromagnetic Environment Effects and Electro-optical Engineering, Army Engineering University of PLA, Nanjing 210007, China
2.
Dongbei University of Finance and Economics, Dalian 116025, China
3.
National Innovation Institute of Defense Technology, Academy of Military Sciences, Beijing 100071, China
4.
Unit 31007 of the PLA, Beijing 100071, China
5.
Cangxi School, Education Bureau of Xinhua County, Loudi 417628, China

Funds: This work was supported by the National Natural Science Foundation of China (51977219, 52177013), the National Science Key Laboratory Foundation of China (61422062109, 61422062111), and the National Defense Basic Scientific Research Program of China (JCKYS2021LD1)

More Information

Author Bio:
Jie LI was born in Hunan Province, China, in 1996. He received the B.S. degree in camouflage engineering from the Army Engineering University of PLA, Nanjing, China, in 2018. He is currently studying for a Ph.D. degree in the National Key Laboratory on Electromagnetic Environmental Effects and Electro-Optical Engineering, Army Engineering University of PLA, Nanjing, China. His current research focuses on computational electromagnetics. (Email: lijie-nj@foxmail.com)

Lihua SHI received the B.S. degree in electronic engineering from Xidian University, Xi’an, China, in 1990, the M.S. degree in electrical engineering from the Nanjing Engineering Institute, Nanjing, China, in 1993, and the Ph.D. degree in instrument science from Nanjing University of Aeronautics and Astronautics, Nanjing, China, in 1996. During 2001, he was a Visiting Scholar at Stanford University. He is currently a Professor with the National Key Laboratory on Electromagnetic Environmental Effects and Electro-Optical Engineering, Army Engineering University of PLA, Nanjing, China. His current research focuses on time-domain measurement technology. Professor Shi is a Member of IEEE’s Instrumentation and Measurement Society and Electromagnetic Compatibility Society. He was the recipient of three awards from the Ministry of Science and Technology of China. (Email: lihuashi@aliyun.com)

Qi ZHANG was born in Shandong Province, China, in 1987. He received the M.S. and Ph.D. degrees from PLA University of Science and Technology, Nanjing, China, in 2012 and 2015, respectively. He is currently a Lecturer with the National Key Laboratory on Electromagnetic Environmental Effects and Electro-Optical Engineering, Army Engineering University of PLA, Nanjing, China. His research interests include lightning observation and computational electromagnetics. (Email: emczhq@163.com)

Qi LEI was born in Jiangsu Province, China, in 1993. He received the B.S. degree in automation from Xiamen University, Xiamen, China, in 2015, and the M.S. degree in electrical engineering from the Army Engineering University of PLA, Nanjing, China, in 2017. His current research interests include electromagnetic pulse protection and computational electromagnetics. (Email: lqiiox@stu.xmu.edu.cn)

Yicheng LIU was born in Yunnan Province, China, in 1995. He received the B.S. degree in electronics and information science and technology from Sichuan University, Chengdu, China, in 2017, and the M.S. degree in electronic science and technology from the Army Engineering University of PLA, Nanjing, China, in 2019. His current research focuses on computational electromagnetics. (Email: yicheng6@outlook.com)

Jianbao WANG (corresponding author) was born in Shandong Province, China, in 1983. He received the B.S. degree in mechanical engineering and automation and the Ph.D. degree in Armament Science and Technology from PLA University of Science and Technology, Nanjing, China, in 2005 and 2014, respectively. He is currently an Associate Professor with the National Key Laboratory on Electromagnetic Environmental Effects and Electro-Optical Engineering, Army Engineering University of PLA, Nanjing, China. His research focuses on computational electromagnetics. (Email: zwang0417@outlook.com)
Received Date: 2022-04-12
Accepted Date: 2022-08-02

Available Online: 2022-11-22

Publish Date: 2022-11-05

Abstract

Abstract

The solution of large matrix eigenvalues and complex linear equations limits the Fourier modal method (FMM) application in ultrathin metallic gratings (UMG) analysis. This paper proposes an efficient and explicit FMM method for analyzing UMG. The proposed method avoids solving complex linear equations and eigenvalues of eigenmatrix in the conventional method by simplifying the implementation equations. Two numerical examples then verify the reliability of the proposed method compared with CST simulations and the conventional method. The proposed method is proven efficient in decreasing the CPU time by over 80% and demanding significantly less memory.
- Fourier modal method,
- Ultrathin metallic gratings,
- Computational efficiency,
- Eigenvalues

FullText(HTML)

References(17)

References

[1]	C. Y. Zhang, Y. K. Wang, M. J. Lu, et al., “Nonreciprocal absorber of subwavelength metallic gratings,” Jpn. J. Appl. Phys., vol.57, no.10, article no.100305, 2018. doi: 10.7567/JJAP.57.100305
[2]	J. N. Munday and H. A. Atwater, “Large integrated absorption enhancement in plasmonic solar cells by combining metallic gratings and antireflection coatings,” Nano Lett., vol.11, no.6, pp.2195–2201, 2011. doi: 10.1021/nl101875t
[3]	J. Wu, C. Z. Zhou, H. C. Cao, and A. D. Hu, “Polarization-dependent and -independent spectrum selective absorption based on a metallic grating structure,” Optics Communications, vol.309, pp.57–63, 2013. doi: https://doi.org/10.1016/j.optcom.2013.07.012
[4]	I. Koirala, V. R. Shrestha, C. S. Park, et al., “Polarization-controlled broad color palette based on an ultrathin one-dimensional resonant grating structure,” Scientific Reports, vol.7, article no.40073, 2017. doi: 10.1038/srep40073
[5]	D. J. Hu, P. Wang, P. Lin, et al., “Design of ultra-thin metallic grating based circular polarizer in the near infrared,” Proceedings of SPIE: Infrared Sensors, Devices, and Applications V, vol.9609, article no.96090M, 2015. doi: 10.1117/12.2187598
[6]	M. G. Moharam, E. B. Grann, D. A. Pommet, et al., “Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings,” J. Opt. Soc. Am. A-Opt. Image Sci. Vis., vol.12, no.5, pp.1068–1076, 1995. doi: 10.1364/JOSAA.12.001068
[7]	L. Li, “Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings,” J. Opt. Soc. Am. A-Opt. Image Sci. Vis., vol.13, no.5, pp.1024–1035, 1996. doi: 10.1364/JOSAA.13.001024
[8]	E. L. Tan, “Hybrid-matrix algorithm for rigorous coupled-wave analysis of multilayered diffraction gratings,” J. Mod. Opt., vol.53, no.4, pp.417–428, 2006. doi: 10.1080/09500340500407701
[9]	P. Lalanne and G. M. Morris, “Highly improved convergence of the coupled-wave method for TM polarization,” J. Opt. Soc. Am. A., vol.13, no.4, pp.779–784, 1996. doi: 10.1364/JOSAA.13.000779
[10]	I. Semenikhin, M. Zanuccoli, M. Benzi, et al., “Computational efficient RCWA method for simulation of thin film solar cells,” Opt. Quantum Electron., vol.44, no.3–5, pp.149–154, 2012. doi: 10.1007/s11082-012-9560-5
[11]	J. Li, L. Shi, Y. Ma, et al., “Efficient implementation of rigorous coupled-wave analysis for analyzing binary gratings,” IEEE Antennas and Wireless Propagation Letters, vol.19, pp.2132–2135, 2020. doi: 10.1109/LAWP.2020.3024640
[12]	J. Li, J. Wang, Z. Sun, et al., “Efficient rigorous coupled-wave analysis without solving eigenvalues for analyzing one-dimensional ultrathin periodic structures,” IEEE Access, vol.8, pp.198131–198138, 2020. doi: 10.1109/ACCESS.2020.3034760
[13]	J. Li, L. Shi, Y. Ma, et al., “Efficient and stable implementation of RCWA for ultrathin multilayer gratings: T-matrix approach without solving eigenvalues,” IEEE Antenn. Wirel. Propag. Lett., vol.20, no.1, pp.83–87, 2021. doi: 10.1109/LAWP.2020.3041299
[14]	I. S. Spevak, A. Y. Nikitin, E. V. Bezuglyi, et al., “Resonantly suppressed transmission and anomalously enhanced light absorption in periodically modulated ultrathin metal films,” Phys. Rev. B, vol.79, no.16, article no.161406, 2009. doi: 10.1103/PhysRevB.79.161406
[15]	S. S. Xiao, J. G. Zhang, P. Liang, et al., “Nearly zero transmission through periodically modulated ultrathin metal films,” Appl. Phys. Lett., vol.97, article no.071116, 2010. doi: https://doi.org/10.1063/1.3481397
[16]	G. D’Aguanno, N. Mattiucci, A. Alu, and et al., “Quenched optical transmission in ultrathin subwavelength plasmonic gratings,” Phys. Rev. B., vol.83, no.3, article no.035426, 2011. doi: 10.1103/PhysRevB.83.035426
[17]	S. W. Kim, L. Pang, B. Hong, et al., “Experimental demonstration of quenched transmission effect of an ultrathin metallic grating,” Opt. Lett., vol.41, no.7, pp.1522–1525, 2016. doi: 10.1364/OL.41.001522