|
|
|
Reviews of algorithm-driven terahertz metamaterials: From intelligent design to multidisciplinary applications |
| Wenyue Cao(曹文钺)1,2,3, Yuying Jiang(蒋玉英)1,2,4, Hongyi Ge(葛宏义)1,2,3,†, and Juncheng Cao(曹俊诚)5,‡ |
1 Key Laboratory of Grain Information Processing and Control, Ministry of Education, Henan University of Technology, Zhengzhou 450001, China; 2 Henan Key Laboratory of Grain Storage Information Intelligent Perception and Decision Making, Zhengzhou 450001, China; 3 College of Information Science and Engineering, Henan University of Technology, Zhengzhou 450001, China; 4 School of Artificial Intelligence and Big Data, Henan University of Technology, Zhengzhou 450001, China; 5 State Key Laboratory of Materials for Integrated Circuits, Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, Shanghai 200050, China |
|
|
|
|
Abstract Terahertz metamaterials, composed of subwavelength artificial structures, exhibit strongly nonlinear and tightly coupled electromagnetic responses governed by geometry, material properties, and resonance modes. Driven by growing demands in high-sensitivity sensing, terahertz communication, and functional imaging, the design space of these devices has rapidly expanded, rendering conventional empirical and parameter-sweeping approaches inefficient for global optimization. Algorithm-driven strategies, particularly those leveraging machine learning and deep learning, have emerged as powerful surrogates for electromagnetic simulation, enabling automated multi-objective optimization and rapid inverse design. Beyond predictive capabilities, these algorithms uncover latent physical mechanisms and support adaptive, closed-loop experimental implementations. Within a unified framework, this review systematically categorizes and summarizes advances in algorithm-driven design of terahertz metamaterials, including traditional optimization methods, machine learning, deep learning, and reinforcement learning, highlighting their roles in multi-layer structural design, multimodal coupling control, and dynamic multi-target detection. Finally, we conduct a detailed analysis of current challenges, including data quality, model generalization, and physical interpretability, and clearly identify future research directions. These directions are expected to lead to practical applications in high-sensitivity chemical and biological detection, terahertz wireless communication, and wave-based functional imaging.
|
Received: 22 April 2026
Revised: 08 May 2026
Accepted manuscript online: 11 May 2026
|
|
PACS:
|
07.57.-c
|
(Infrared, submillimeter wave, microwave and radiowave instruments and equipment)
|
| |
81.05.Xj
|
(Metamaterials for chiral, bianisotropic and other complex media)
|
| |
07.57.Pt
|
(Submillimeter wave, microwave and radiowave spectrometers; magnetic resonance spectrometers, auxiliary equipment, and techniques)
|
| |
02.70.-c
|
(Computational techniques; simulations)
|
| |
41.20.Jb
|
(Electromagnetic wave propagation; radiowave propagation)
|
|
| Fund: This work was supported by the National Key R&D Program of China (Grant No. 2023YFB3210300) and the National Natural Science Foundation of China (Grant Nos. 12333012 and 62271191). |
Corresponding Authors:
Hongyi Ge, Juncheng Cao
E-mail: gehongyi2004@163.com;jccao@mail.sim.ac.cn
|
Cite this article:
Wenyue Cao(曹文钺), Yuying Jiang(蒋玉英), Hongyi Ge(葛宏义), and Juncheng Cao(曹俊诚) Reviews of algorithm-driven terahertz metamaterials: From intelligent design to multidisciplinary applications 2026 Chin. Phys. B 35 080702
|
[1] Zheludev N I 2010 Science 328 582 [2] Schuster A 1905 Astrophysical Journal 21 197 [3] Pendry J B, Holden A J, Robbins D J and Stewart W J 1998 J. Phys. Condens. Matter 10 4785 [4] Pendry J B, Holden A J, Robbins D J and Stewart W J 1999 IEEE Trans. Microw. Theory Tech. 47 2075 [5] Walser R M 2001 Complex Mediums II: beyond linear isotropic dielectrics. SPIE 4467 1 [6] Cummer S A, Christensen J and Alù A 2016 Nat. Rev. Mater. 1 1 [7] Lu M H, Feng L and Chen Y F 2009 Materials Today 12 34 [8] Schurig D, Mock J J, Justice B J, Cummer S A, Pendry J B, Starr A F and Smith D R 2006 Science 314 977 [9] Shin D, Urzhumov Y, Jung Y, Kang G, Baek S, Choi M, Park H, Kim K and Smith D R 2012 Nat. Commun. 3 1213 [10] Anghinolfi L, Luetkens H, Perron J, Flokstra M G, Sendetskyi O, Suter A, Prokscha T, Derlet P M, Lee S L and Heyderman L J 2015 Nat. Commun. 6 8278 [11] Zhang J, Xiao M, Gao L, Alu A and Wang F 2023 Nat. Commun. 14 4041 [12] Baudrier-Raybaut M, Haïdar R, Kupecek Ph, Lemasson Ph and Rosencher E 2004 Nature 432 374 [13] Yang X, Wu T, Zhang L, Yang D, Wang N, Song B and Gao X 2019 Signal Processing 160 202 [14] Cheng Y, Qiao L, Zhu D, Wang Y and Zhao Z 2021 Opt. Lett 46 1233 [15] Globus T, Moskaluk C, Pramoonjago P, Gelmont B, Moyer A, Bykhovski A and Ferrance J 2019 Cancer Biomark 24 405 [16] Yan Z, Zhu L G, Meng K, HuangWand Shi Q 2022 Trends Biotechnol 40 816 [17] Jiang X, Xu Y and Zhao D 2023 Constr. Build. Mater. 385 131427 [18] Wang S, Ma Z,Wang G, Tang L, Guo C, Zhang S, Niu P, Yao J and Shi J 2025 J. Lightwave Technol. 43 4919 [19] Li A, Yang Y, Wu S, Vogt Wu T, Zhang Y, Wu W and Zhang H 2025 J. Build. Eng. 104 112452 [20] Huang Y, Shen Y and Wang J 2023 Engineering 22 106 [21] Cai X, Cheng X and Tufvesson F 2024 IEEE Commun. Mag. 62 32 [22] LeCun Y, Bengio Y and Hinton G 2015 Nature 521 436 [23] Kirkpatrick S, Gelatt C D Jr and Vecchi M P 1983 Science 220 671 [24] Ma W, Liu Z, Kudyshev Z A, Boltasseva A, Cai W and Liu Y 2020 Nat. Photonics 15 77 [25] Ma L, Li J, Liu Z, Zhang Y, Zhang N, Zheng S and Lu C 2021 Chin. Opt. Lett. 19 011301 [26] Niu J, Chao X, Lian H, Luo J and Qi L 2025 Chem. Eng. J. 519 165123 [27] Zhang Z K, Zhang T, Zhang Z P, Chong M Z, Xiao M, Peng P, Feng P, Sun H, Zheng Z, Zang X, Fang Z and Xia M Y 2025 Nat. Commun. 16 8133 [28] Krasikov S, Tranter A, Bogdanov A and Kivshar Y 2022 Opto- Electron. Adv. 5 210147 [29] Xu C, Ren Z, Wei J and Lee C 2022 iScience 25 103799 [30] Lee S H, Choe J H, Kim C, Bae S, Kim J S, Park Q H and Seo M 2020 Sens. Actuators B Chem. 310 127841 [31] Didari-Bader A and Saghaei H 2023 Opt. Express 31 12653 [32] Zhu J and Xiong J 2023 Measurement 220 113302 [33] Wang Z, Chong Y, Joannopoulos J D and Soljacic M 2009 Nature 461 772 [34] Bliokh K Y, Smirnova D and Nori F 2015 Science 348 1448 [35] Yang Y, Yamagami Y, Yu X, Pitchappa P, Webber J, Zhang B, Fujita M, Nagatsuma T and Singh R 2020 Nat. Photonics 14 446 [36] Wang Z, Nasir S, Bharadwaj S, Liu Y, Mambakkam S V, Yu M and Law S 2024 ACS Photonics 11 4134 [37] Wang J, Sui X, Duan W, Liu F and Huang B 2021 Proc. Natl. Acad. Sci. USA 118 e2023029118 [38] Won S, Jung H J, Kim D, Lee S H, Van Lam D, Kim H D, Kim K S, Lee S M, Seo M, Kim D S, Lee H J and Kim J H 2020 Carbon 158 505 [39] Zhang K P, Liao Y F, Qiu B, Zheng Y K, Yu L K, He G H, Chen Q N and Sun D H 2021 Small 17 e2103262 [40] Kim H, Melinger J S, Khachatrian A, Charipar N A, Auyeung R C and Pique A 2010 Opt. Lett. 35 4039 [41] Li X, Guo L, Gong C and Liu W 2023 Opt. Commun. 541 129532 [42] Li X, Wang Z, Jiang H, Deng M, Yin L, Gong C and Liu W 2024 Opt. Lett. 49 1261 [43] Yu B, Yin L, Wang P and Gong C 2023 Virtual Phys. Prototyp. 18 13773 [44] Chen X, Ye L and Yu D 2024 Photon. Res. 12 e2230468 [45] Moser H O, Kong J A, Jian L K, Chen H S, Liu G, Bahou M, Kalaiselvi S M, Maniam S M, Cheng X X, Wu B I, Gu P D, Chen A, Heussler S P, bin Mahmood S and Wen L 2008 Opt. Express 16 13773 [46] Papari G P, Nivas J J J, Koral C, Allahyari E, Amoruso S and Andreone A 2020 Opt. Laser Technol. 128 895 [47] Holland J H 1962 Journal of the ACM 9 297 [48] Holland J H 1973 SIAM J. Comput. 2 88 [49] Sampson J R 1976 SIAM Review 18 529 [50] Zhang M, Cheng Q, Wu Y, Chen D, Ma Z, Li C, Ma X, Stratakis E, Luo X, Hong M, Pu M and Li X 2021 Proc. SPIE 12072 115 [51] Wang Y, Wu G, Zhang J, Wu X, Yuan G and Liu J 2024 Opt. Laser Technol. 170 110262 [52] Anik M H K, Mahmud S, Mahmood K B M S, Bokhtiar Al Z, Isti M I A, Talukder H and Biswas S K 2022 IEEE Sens. J. 22 17819 [53] Thompson J R, Nelson-Quillin H D, Coyle E J, Vernon J P, Harper E S and Mills M S 2021 Opt. Express 29 43421 [54] He W, Tong M, Xu Z, Hu Y, Cheng X A and Jiang T 2021 Photonics Research 9 1099 [55] Wu J H, Meng Y L, Li Y, Li Y, Li Y S, Pan G M, Kang J, Zhan C L, Gao H, Hu B and Jin S Z 2022 Nanomaterials (Basel) 12 3515 [56] Zhou S, Li W, Chen Y, Sun G and Li Q 2011 Acta Materialia 59 2624 [57] Dong H W, Zhao S D, Wei P, Cheng L, Wang Y S and Zhang C 2019 Acta Materialia 172 102 [58] Wu Y, Liu N, Zhang M, Yu S, Zhou Z and Wada K 2024 Proc. SPIE 13244 75 [59] Saurabh S, Gupta A and Chowdhury R 2023 Composite Structures 326 117611 [60] Zeng Q, Duan S, Zhao Z, Wang P and Lei H 2023 Adv. Sci. (Weinh) 10 e2204977 [61] Chouhan B S, Nawaz A, Das A, Rohith K M, Ahmad A and Kumar G 2025 J. Lightwave Technol. 43 2734 [62] Ding Z, SuW, Luo Y, Ye L,Wu H and Yao H 2023 Materials & Design 233 112215 [63] Wang B, Song J,Wang J, Wang R and Lam Y C 2025 Opt. Laser Technol. 186 112742 [64] Li L, Ruan H, Liu C, Li Y, Shuang Y, Alu A, Qiu C W and Cui T J 2019 Nat. Commun. 10 1082 [65] Sun Z, Xu B, Jin F, Zhou G and Lin L 2022 IEEE Journal of Selected Topics in Quantum Electronics 28 4700209 [66] Huang M, Zheng B, Cai T, Li X, Liu J, Qian C and Chen H 2022 Nanophotonics 11 2001 [67] Shi X, Qiu T, Wang J, Zhao X and Qu S 2020 J. Phys. D: Appl. Phys. 53 275105 [68] Qian C, Kaminer I and Chen H 2025 Nat. Commun. 16 1154 [69] Jin Y, He L, Wen Z, Mortazavi B, Guo H, Torrent D, Djafari-Rouhani B, Rabczuk T, Zhuang X and Li Y 2022 Nanophotonics 11 439 [70] HuangW, TangW, Chen Z, Tang L, Chen C and Hou L 2025 Engineering Structures 332 120013 [71] Tan Y J, Zhu C, Tan T C, Kumar A, Wong L J, Chong Y and Singh R 2022 Opt. Express 30 27763 [72] Hamada K, Hsiao H H and Kubo W 2024 Sci. Rep. 14 31842 [73] Zhang Z, Han D, Zhang L, Wang X and Chen X 2021 J. Appl. Phys. 130 033101 [74] Naseri P and Hum S V 2021 IEEE Trans. Antennas Propag. 69 5725 [75] Yin S, Zhong H, HuangWand ZhangW2025 Opt. Laser Technol. 181 111684 [76] Li J, Chen H, Yap S L and Zhang B 2025 Opt. Laser Technol. 185 112591 [77] Yu J, Pu H and Sun D W 2025 Chem. Eng. J. 504 158177 [78] Luo Y, Qiu K, Xu T, Zhang F and Yue P 2025 Eng. Appl. Artif. Intell. 151 110801 [79] Cai Y, Huang Y, Feng N and Huang Z 2023 IEEE Trans. Microw. Theory Tech. 71 3284 [80] Ding Z, Su W, Luo Y, Ye L, Li W, Zhou Y, Tang B, Zou J and Yao H 2024 Opt. Laser Technol. 176 110891 [81] Teng Y, Li C, Li S, Xiao Y and Jiang L 2023 Opt. Laser Technol. 160 109058 [82] Si L, Niu R, Dang C, Bao X, Zhuang Y and Zhu W 2024 APL Mater. 12 120602 [83] Li C, Chen H, Zhu Y,Wang T, Teng Y, Liang L, Zhang Y, Yao H, Huang Z and Jiang L 2025 Opt. Laser Technol. 183 112267 [84] Ma L, Wang Z, Feng L, Dong W and Guo W 2023 Optical Materials Express 13 739 [85] Liu Z, Fang H, Xu J and Wang K W 2023 Adv. Sci. (Weinh) 10 e2305146 [86] Ha C S, Yao D, Xu Z, Liu C, Liu H, Elkins D, Kile M, Deshpande V, Kong Z, Bauchy M and Zheng X R 2023 Nat. Commun. 14 5765 [87] Bordiga G, Medina E, Jafarzadeh S, Bosch C, Adams R P, Tournat V and Bertoldi K 2024 Nat. Mater. 23 1486 [88] Gregg C E, Catanoso D, Formoso O I B, Kostitsyna I, Ochalek M E, Olatunde T J, Park I W, Sebastianelli F M, Taylor E M, Trinh G T and Cheung K C 2024 Sci. Robot 9 eadi2746 [89] Kochkov D, Yuval J, Langmore I, Norgaard P, Smith J, Mooers G, Klower M, Lottes J, Rasp S, Duben P, Hatfield S, Battaglia P, Sanchez- Gonzalez A, Willson M, Brenner M P and Hoyer S 2024 Nature 632 1060 [90] Huang Y, Feng N and Cai Y 2024 J. Lightwave Technol. 42 1518 [91] Zhang M, Zhang N, Zhang J, Zhang X, Dong P, Wang B, Yang L, Wu R and Hou W 2022 Opt. Express 30 22974 [92] Baz A, Wekalao J, Mandela N and Patel S K 2025 IEEE Trans. Nanobiosci. 24 128 [93] Zhou R, Ma L, Dai Z, Gao S, Zhang Y, Qiu G, Ye Y, Shi J, Cai J and Zou X 2025 TrAC Trends in Analytical Chemistry 193 118482 [94] Yang R, Li Y, Zheng J, Qiu J, Song J, Xu F and Qin B 2022 Materials (Basel) 15 6093 [95] Yu J, Pu H and Sun D W 2025 Talanta 291 127650 [96] Li C, Chen H, Teng Y, Huang Z, Wen L, Liang L, Zhang Y, Yao H and Jiang L 2025 Opt. Express 33 32277 [97] Zhang L, Kong X, Chen L, Zhang W, Lin X, Wang C, Jiang Y, Li J and Qu F 2024 Sens. Actuators B Chem. 419 136446 [98] Ju X, Zhu G, Huang F, Dai Z, Chen Y, Guo C, Deng L and Wang X 2022 Opt. Express 30 957 [99] Blackwell A N, Yahiaoui R, Chen Y H, Chen P Y, Searles T A and Chase Z A 2023 Opt. Express 31 29515 [100] Yu K, Ge J, Li H, Zhang Y, Dong H and Zhang L 2024 Opt. Commun. 566 130695 [101] Fakharian M M 2025 Mater. Today Commun. 43 130695 [102] Fan Z, Qian C, Jia Y, Wang Z, Ding Y, Wang D, Tian L, Li E, Cai T, Zheng B, Kaminer I and Chen H 2022 Sci. Adv. 8 eabn7905 [103] Karahan E A, Liu Z, Gupta A, Shao Z, Zhou J, Khankhoje U and Sengupta K 2024 Nat. Commun. 15 10734 [104] Hu J, Zhan C, Wang Q, Shi H, He Y and Ouyang A 2023 Spectrochim. Acta A Mol. Biomol. Spectrosc. 300 122809 [105] Nourinovin S, RahmanMM, Naftaly M, PhilpottMP, Abbasi Q H and Alomainy A 2024 IEEE Trans. Biomed. Eng. 71 2180 [106] Jain P, Chhabra H, Chauhan U, Prakash K, Gupta A, Soliman M S, Islam M S and Islam M T 2023 Sci. Rep. 13 1792 [107] Liu B, Peng Y, Hao Y, Zhu Y, Chang S and Zhuang S 2024 PhotoniX 5 10 [108] Hu J, Hu N, Pan D, Zhu Y, Jin X, Wu S and Lu Y 2024 Biosens Bioelectron 262 116562 [109] Zamzam P, Rezaei P, Khatami S A and Appasani B 2025 Opt. Laser Technol. 183 112246 [110] Zhang N, Gao F, Wang R, Shen Z, Han D, Cui Y, Zhang L, Chang C, Qiu C W and Chen X 2025 Adv. Mater. 37 e2411490 [111] Zhu J, Ren Z and Lee C 2021 ACS Nano 15 894 [112] Kim T, Kwak J, Roh Y, Sim S J, Ryu Y S, Song H S and Seo M 2025 Chem. Eng. J 509 161370 [113] Liao Z, Xue Z, Fan J, Xu G, Xing H and Cong L 2025 Nat. Commun. 17 888 [114] Mohammadiaria M and Srivastava S B 2025 Light Sci. Appl. 14 386 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|