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2024-09-01
Highly Accurate and Efficient 3D Implementations Empowered by Deep Neural Network for 2DLMs -Based Metamaterials
By
Progress In Electromagnetics Research, Vol. 180, 1-11, 2024
Abstract
Streamlining the on-demand design of metamaterials, both forward and inverse, is highly demanded for unearthing complex light-matter interaction. Deep learning, as a popular data-driven method, has recently found to largely alleviate the time-consuming and experience-orientated features in widely-used numerical simulations. In this work, we propose a convolution-based deep neural network to implement the inverse design and spectral prediction of a broadband absorber, and deep neural network (DNN) not only achieves highly-accurate results based on small data samples, but also converts the one-dimensional (1D) spectral sequence into a 2D picture by employing the Markov transition field method so as to enhance the variability between spectra. From the perspective of a single spectral sample, spectral samples carry not enough information for neural network due to the constraints of the number of sampling points; from the perspective of multiple spectral samples, the gap between different spectral samples is very small, which can hinder the performance of the reverse design framework. Markov transition field method can enhance the performance of the model from those two aspects. The experimental results show that the final value of the soft required accuracy of the one-dimensional fully connected neural network model and the two-dimensional residual neural network model differ by nearly 1%, the final value of the soft accuracy of the one-dimensional residual neural network model is 97.6%. The final value of the two-dimensional residual neural network model model is 98.5%. The model utilises a data enhancement approach to improve model accuracy and also provides a key reference for designing two-dimensional layered materials (2DLMs) based metamaterials with on-demand properties before they are put into manufacturing.
Citation
Naixing Feng, Huan Wang, Xuan Wang, Yuxian Zhang, Chao Qian, Zhixiang Huang, and Hongsheng Chen, "Highly Accurate and Efficient 3D Implementations Empowered by Deep Neural Network for 2DLMs -Based Metamaterials," Progress In Electromagnetics Research, Vol. 180, 1-11, 2024.
doi:10.2528/PIER24012201
References

1. Ashton, Michael, Joshua Paul, Susan B. Sinnott, and Richard G. Hennig, "Topology-scaling identification of layered solids and stable exfoliated 2D materials," Physical Review Letters, Vol. 118, No. 10, 106101, 2017.

2. Liu, Gongping, Wanqin Jin, and Nanping Xu, "Two-dimensional-material membranes: A new family of high-performance separation membranes," Angewandte Chemie International Edition, Vol. 55, No. 43, 13384-13397, 2016.

3. Cao, Yuan, Valla Fatemi, Shiang Fang, Kenji Watanabe, Takashi Taniguchi, Efthimios Kaxiras, and Pablo Jarillo-Herrero, "Unconventional superconductivity in magic-angle graphene superlattices," Nature, Vol. 556, No. 7699, 43-50, 2018.

4. Roldan, Rafael, Andrés Castellanos-Gomez, Emmanuele Cappelluti, and Francisco Guinea, "Strain engineering in semiconducting two-dimensional crystals," Journal of Physics: Condensed Matter, Vol. 27, No. 31, 313201, 2015.

5. Burch, Kenneth S., David Mandrus, and Je-Geun Park, "Magnetism in two-dimensional van der waals materials," Nature, Vol. 563, No. 7729, 47-52, 2018.
doi:10.1038/s41586-018-0631-z

6. Xie, Yinong, Xueying Liu, Fajun Li, Jinfeng Zhu, and Naixing Feng, "Ultra-wideband enhancement on mid-infrared fingerprint sensing for 2d materials and analytes of monolayers by a metagrating," Nanophotonics, Vol. 9, No. 9, 2927-2935, 2020.

7. Schwierz, Frank, Jorg Pezoldt, and Ralf Granzner, "Two-dimensional materials and their prospects in transistor electronics," Nanoscale, Vol. 7, No. 18, 8261-8283, 2015.

8. Novoselov, Kostya S., Andre K. Geim, Sergei V. Morozov, De-Eng Jiang, Yanshui Zhang, Sergey V. Dubonos, Irina V. Grigorieva, and Alexandr A. Firsov, "Electric field effect in atomically thin carbon films," Science, Vol. 306, No. 5696, 666-669, 2004.
doi:10.1126/science.1102896

9. Wang, Yong, Jun Mao, Xianguang Meng, Liang Yu, Dehui Deng, and Xinhe Bao, "Catalysis with two-dimensional materials confining single atoms: concept, design, and applications," Chemical Reviews, Vol. 119, No. 3, 1806-1854, 2018.

10. Bonaccorso, Francesco, Zhipei Sun, Tawfique Hasan, and Andrea C. Ferrari, "Graphene photonics and optoelectronics," Nature Photonics, Vol. 4, No. 9, 611-622, 2010.

11. Liu, Xiaoze, Tal Galfsky, Zheng Sun, Fengnian Xia, Erh-Chen Lin, Yi-Hsien Lee, Stephane Kena-Cohen, and Vinod M. Menon, "Strong light-matter coupling in two-dimensional atomic crystals," Nature Photonics, Vol. 9, No. 1, 30-34, 2015.

12. Ren, Tangxuan and Lin Chen, "Slow light enabled high-modulation-depth graphene modulator with plasmonic metasurfaces," Optics Letters, Vol. 44, No. 22, 5446-5449, 2019.

13. Zhang, Tian, Qi Liu, Yihang Dan, Shuai Yu, Xu Han, Jian Dai, and Kun Xu, "Machine learning and evolutionary algorithm studies of graphene metamaterials for optimized plasmon-induced transparency," Optics Express, Vol. 28, No. 13, 18899-18916, 2020.

14. Rodrigo, Daniel, Odeta Limaj, Davide Janner, Dordaneh Etezadi, F. Javier Garcia de Abajo, Valerio Pruneri, and Hatice Altug, "Mid-infrared plasmonic biosensing with graphene," Science, Vol. 349, No. 6244, 165-168, 2015.
doi:10.1126/science.aab2051

15. Mueller, Thomas, Fengnian Xia, and Phaedon Avouris, "Graphene photodetectors for high-speed optical communications," Nature Photonics, Vol. 4, No. 5, 297-301, 2010.

16. Hu, Guohua, Joohoon Kang, Leonard W. T. Ng, Xiaoxi Zhu, Richard C. T. Howe, Christopher G. Jones, Mark C. Hersam, and Tawfique Hasan, "Functional inks and printing of two-dimensional materials," Chemical Society Reviews, Vol. 47, No. 9, 3265-3300, 2018.
doi:10.1039/C8CS00084K

17. Xiang, Du, C. Han, J. Wu, S. Zhong, Y. Liu, J. Lin, X. A. Zhang, Hu W. Ping, B. Özyilmaz, A. H. Neto, A. T. Wee, and W. Chen, "Surface transfer doping induced effective modulation on ambipolar characteristics of few-layer black phosphorus," Nature Communications, Vol. 6, No. 1, 6485, 2015.

18. Huang, Mingqiang, Mingliang Wang, Cheng Chen, Zongwei Ma, Xuefei Li, Junbo Han, and Yanqing Wu, "Broadband black-phosphorus photodetectors with high responsivity," Adv. Mater, Vol. 28, No. 18, 3481-3485, 2016.
doi:10.1002/adma.201506352

19. Abbas, Ahmad N., Bilu Liu, Liang Chen, Yuqiang Ma, Sen Cong, Noppadol Aroonyadet, Marianne Kopf, Tom Nilges, and Chongwu Zhou, "Black phosphorus gas sensors," Acs Nano, Vol. 9, No. 5, 5618-5624, 2015.

20. Li, Likai, Yijun Yu, Guo Jun Ye, Qingqin Ge, Xuedong Ou, Hua Wu, Donglai Feng, Xian Hui Chen, and Yuanbo Zhang, "Black phosphorus field-effect transistors," Nature Nanotechnology, Vol. 9, No. 5, 372-377, 2014.

21. Dai, Jun and Xiao Cheng Zeng, "Bilayer phosphorene: Effect of stacking order on bandgap and its potential applications in thin-film solar cells," The Journal of Physical Chemistry Letters, Vol. 5, No. 7, 1289-1293, 2014.

22. Qiao, Jingsi, Xianghua Kong, Zhi-Xin Hu, Feng Yang, and Wei Ji, "High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus," Nature Communications, Vol. 5, No. 1, 4475, 2014.

23. Higashitarumizu, Naoki, Shiekh Zia Uddin, Daniel Weinberg, Nima Sefidmooye Azar, IKM Reaz Rahman, Vivian Wang, Kenneth B. Crozier, Eran Rabani, and Ali Javey, "Anomalous thickness dependence of photoluminescence quantum yield in black phosphorous," Nature Nanotechnology, Vol. 18, No. 5, 507-513, 2023.

24. Torun, Engin, Henrique P. C. Miranda, Alejandro Molina-Sanchez, and Ludger Wirtz, "Interlayer and intralayer excitons in MoS2/WS2 and MoSe2/WSe2 heterobilayers," Physical Review B, Vol. 97, No. 24, 245427, 2018.

25. Altintas, Olcay, Emin Unal, Oguzhan Akgol, Muharrem Karaaslan, Faruk Karadag, and Cumali Sabah, "Design of a wide band metasurface as a linear to circular polarization converter," Modern Physics Letters B, Vol. 31, No. 30, 1750274, 2017.

26. Abdulkarim, Yadgar I., Meiyu Xiao, Halgurd N. Awl, Fahmi F. Muhammadsharif, Tingting Lang, Salah Raza Saeed, Fatih Ozkan Alkurt, Mehmet Bakir, Muharrem Karaaslan, and Jian Dong, "Simulation and lithographic fabrication of a triple band terahertz metamaterial absorber coated on flexible polyethylene terephthalate substrate," Optical Materials Express, Vol. 12, No. 1, 338-359, 2022.

27. Dincer, Furkan, Muharrem Karaaslan, Sule Colak, Erkan Tetik, Oguzhan Akgol, Olcay Altintas, and Cumali Sabah, "Multi-band polarization independent cylindrical metamaterial absorber and sensor application," Modern Physics Letters B, Vol. 30, No. 08, 1650095, 2016.

28. Alkurt, Fatih Ozkan, Olcay Altintas, Ahmet Atci, Mehmet Bakir, Emin Unal, Oguzhan Akgol, Kemal Delihaciouglu, Muharrem Karaaslan, and Cumali Sabah, "Antenna-based microwave absorber for imaging in the frequencies of 1.8, 2.45, and 5.8 GHz," Optical Engineering, Vol. 57, No. 11, 113102-113102, 2018.

29. Valagiannopoulos, C. A., "Arbitrary currents on circular cylinder with inhomogeneous cladding and RCS optimization," Journal of Electromagnetic Waves and Applications, Vol. 21, No. 5, 665-680, 2007.

30. Qiu, Tianshuo, Xin Shi, Jiafu Wang, Yongfeng Li, Shaobo Qu, Qiang Cheng, Tiejun Cui, and Sai Sui, "Deep learning: A rapid and efficient route to automatic metasurface design," Advanced Science, Vol. 6, No. 12, 1900128, 2019.

31. Peurifoy, John, Y. Shen, L. Jing, Y. Yang, F. Cano-Renteria, B. G. DeLacy, J. D. Joannopoulos, M. Tegmark, and M. Soljačić, "Nanophotonic particle simulation and inverse design using artificial neural networks," Science Advances, Vol. 4, No. 6, eaar4206, 2018.

32. Koziel, Slawomir and Muhammad Abdullah, "Machine-learning-powered em-based framework for efficient and reliable design of low scattering metasurfaces," IEEE Transactions on Microwave Theory and Techniques, Vol. 69, No. 4, 2028-2041, 2021.

33. Rodriguez, Jesse A., Ahmed I. Abdalla, Benjamin Wang, Beicheng Lou, Shanhui Fan, and Mark A. Cappelli, "Inverse design of plasma metamaterial devices for optical computing," Physical Review Applied, Vol. 16, No. 1, 014023, 2021.

34. He, Weibao, Mingyu Tong, Zhongjie Xu, Yuze Hu, Tian Jiang, and others, "Ultrafast all-optical terahertz modulation based on an inverse-designed metasurface," Photonics Research, Vol. 9, No. 6, 1099-1108, 2021.

35. Yuan, Lin, Lan Wang, Xue-Song Yang, Hao Huang, and Bing-Zhong Wang, "An efficient artificial neural network model for inverse design of metasurfaces," IEEE Antennas and Wireless Propagation Letters, Vol. 20, No. 6, 1013-1017, 2021.

36. Zhu, Ruichao, Tianshuo Qiu, Jiafu Wang, Sai Sui, Chenglong Hao, Tonghao Liu, Yongfeng Li, Mingde Feng, Anxue Zhang, Cheng-Wei Qiu, and others, "Phase-to-pattern inverse design paradigm for fast realization of functional metasurfaces via transfer learning," Nature Communications, Vol. 12, No. 1, 2974, 2021.

37. Tan, Qingze, Chao Qian, and Hongsheng Chen, "Inverse-designed metamaterials for on-chip combinational optical logic circuit," Progress In Electromagnetics Research, Vol. 176, 55-65, 2023.
doi:10.2528/PIER22091502

38. Tan, Qingze, Chao Qian, Tong Cai, Bin Zheng, and Hongsheng Chen, "Solving multivariable equations with tandem metamaterial kernels," Progress In Electromagnetics Research, Vol. 175, 139-147, 2022.
doi:10.2528/PIER22060601

39. Lee, Inho, Changdae Kim, Kyoungjae Ju, Gunhee Jun, and Gwanho Yoon, "Implementation of particle swarm optimization for complete inverse design of multilayered optical filters," Applied Optics, Vol. 62, No. 34, 8994-9001, 2023.

40. Sheverdin, Arsen, Francesco Monticone, and Constantinos Valagiannopoulos, "Photonic inverse design with neural networks: The case of invisibility in the visible," Physical Review Applied, Vol. 14, No. 2, 024054, 2020.

41. Liu, Zhaocheng, Dayu Zhu, Lakshmi Raju, and Wenshan Cai, "Tackling photonic inverse design with machine learning," Advanced Science, Vol. 8, No. 5, 2002923, 2021.

42. Cen, Chunlian, Zao Yi, Guangfu Zhang, Yubin Zhang, Cuiping Liang, Xifang Chen, Yongjian Tang, Xin Ye, Yougen Yi, Junqiao Wang, and others, "Theoretical design of a triple-band perfect metamaterial absorber in the THz frequency range," Results in Physics, Vol. 14, 102463, 2019.

43. Cai, Yijun, Kai-Da Xu, Naixing Feng, Rongrong Guo, Haijun Lin, and Jinfeng Zhu, "Anisotropic infrared plasmonic broadband absorber based on graphene-black phosphorus multilayers," Optics Express, Vol. 27, No. 3, 3101-3112, 2019.

44. Sensale-Rodriguez, Berardi, Rusen Yan, Michelle M Kelly, Tian Fang, Kristof Tahy, Wan Sik Hwang, Debdeep Jena, Lei Liu, and Huili Grace Xing, "Broadband graphene terahertz modulators enabled by intraband transitions," Nature Communications, Vol. 3, No. 1, 780, 2012.

45. Low, Tony, Rafael Roldan, Han Wang, Fengnian Xia, Phaedon Avouris, Luis Martin Moreno, and Francisco Guinea, "Plasmons and screening in monolayer and multilayer black phosphorus," Physical Review Letters, Vol. 113, No. 10, 106802, 2014.

46. Wang, Zhiguang and Tim Oates, "Encoding time series as images for visual inspection and classification using tiled convolutional neural networks," Workshops at The Twenty-ninth Aaai Conference on Artificial Intelligence, 2015.

47. Mukaka, Mavuto M., "A guide to appropriate use of correlation coefficient in medical research," Malawi Medical Journal, Vol. 24, No. 3, 69-71, 2012.

48. Abdi, Hervé, "The kendall rank correlation coefficient," Mathematics, 2006.

49. He, Kaiming, Xiangyu Zhang, Shaoqing Ren, and Jian Sun, "Deep residual learning for image recognition," Proceedings of The IEEE Conference on Computer Vision and Pattern Recognition, 770-778, Las Vegas, NV, USA, 2016.