Prediction of Characteristics Using a Convolutional Neural Network Based on Experimental Data on the Structure and Composition of Metamaterials

  • Maxim Zozyuk 1Department of Microelectronics, Kyiv Polytechnic Institute “Igor Sikorsky”, 37 Peremohy ave.
  • Dmitri Koroliouk 2 Institute of Telecommunications and Global Information Space of Ukrainian Acad. Sciences, Kiev, Ukraine
  • Pavel Krysenko 1Department of Microelectronics, Kyiv Polytechnic Institute “Igor Sikorsky”, 37 Peremohy ave.
  • Alexei Yurikov 1Department of Microelectronics, Kyiv Polytechnic Institute “Igor Sikorsky”, 37 Peremohy ave.
  • Yuriy Yakymenko 1Department of Microelectronics, Kyiv Polytechnic Institute “Igor Sikorsky”, 37 Peremohy ave.
Keywords: metamaterial, 3D convolutional neural network, physical properties of material

Abstract

This work proposes an algorithm for properties predicting metamaterials depending on their structure, physical properties of the components of metamaterials, and their characteristics. In this context, the term ”properties” means the result of interacting with the irradiation of a material with electromagnetic exposure of a certain frequency or spectral composition to determine the transmittance/reflection coefficients of the metamaterial. The model is based on the construction of metamaterial in form of a 3D object, the presentation of physical properties in the form of additional components in the object’s vectors, the presentation of experimental data in the form of polynomial coefficients, or the points on the chart of dependencies. Despite the small amount of data, a sufficiently small error rate was obtained for both cases, and the prediction results of experimental data are presented. The amount of experimental data can be increased by supplementary parameters which characterize the conditions under which the experimental data were obtained - polarization, angle of incidence, the intensity of irradiation, etc. The main issues may arise during the preparation of data for neural network learning due to difficulties in converting 3D formats into the required array of data and taking into account all the circumstances, dielectric and magnetic permeabilities, and specific conductivity.

References

N. I. Zheludev, The Road Ahead for Metamaterials, SCIENCE, vol. 328, pp. 582–583, 2010.

M. Maasch, Tunable Microwave Metamaterial Structures, Springer Theses, Schweiz, 2018. DOI: 10.1007/978-3-319-28179-7.

H. P. Fischer, Convolutional Neural Network Surrogate Models for the Mechanical Properties of Periodic Structures, J. Mech. Des., vol. 142, 142(2): 024503, 2020. DOI: 10.1115/1.4045040.

G. B. Goh, N. O. Hodas, A. Vishnu, Deep learning for computational chemistry, Wiley Periodicals, Inc., vol. 38, pp. 1291–1307, 2017. DOI: 10.1002/jcc.24764.

S. Kadulkar, Z. M. Sherman, V. Ganesan, T. M. Truskett, Machine learning-assisted design of material properties, Annual Review of Chemical and Biomolecular Engineering, vol. 13, pp. 235–254, 2022.

Y. Xu, X. Zhang, Y. Fu, Y. Liu, Interfacing photonics with artificial intelligence: an innovative design strategy for photonic structures and devices based on artificial neural networks, Photonics Research, vol. 9, pp. B135–B152, 2021.

O. Khatib, S. Ren, J. Malof, W. J. Padilla, Deep Learning the Electromagnetic Properties of Metamaterials – A Comprehensive Review, Advanced Functional Materials, Advanced Functional Materials, vol. 31, 2101748, 2021.

J. Jiang, M. Chen, J. A. Fan, Deep neural networks for the evaluation and design of photonic devices, Nature Reviews Materials 6, pp. 679–700, 2021.

J. Kabir, Y. Wang, M. Yu, Q. J. Zhang, Neural Network Inverse Modeling and Applications to Microwave Filter Design, IEEE Transactions on Microwave Theory and Techniques, vol. 56, no.4, pp. 867–879, 2008.

Z. Liu, L. Raju, D. Zhu, W. Cai, A Hybrid Strategy for the Discovery and Design of Photonic Structures, IEEE Journal on Emerging and Selected Topics in Circuits and Systems, vol. 10, no.1, pp. 126–135, 2020.

I. Malkiel, M. Mrejen, A. Nagler, Plasmonic nanostructure design and characterization via Deep Learning, Light:

Science&Applications 7, 2018. DOI: 10.1038/s41377-018-0060-7.

Y. Yakimenko, S. Stirenko, D. Koroliuk, Y. Gordienko, F. M. Zanzotto, Implementation of Personalized Medicine by Artificial Intelligence Platform, Statistics, Advances in Intelligent Systems and Computing (AISC), vol. 1428, pp. 597–611, 2016. DOI: 10.1007/978-981-19-3590-9 46.

I. Goodfellow, Y. Bengio, A. Courville, Deep Learning, The MIT Press, 2016. DOI: 10.1063/1.4939564.

L. Cong, Y. K. Srivastava, R. Singh, Inter and intra-metamolecular interaction enabled broadband high-efficiency polarization control in metasurfaces, Appl. Phys. Lett. 108, 2016. DOI: 10.1063/1.4939564.

F. Ding, Z. Wang, S. He, V. M. Shalaev, A. V. Kildishev, Broadband High-Efficiency Half-Wave Plate: A Supercell-Based Plasmonic Metasurface Approach, ACS Nano, 9, 4, pp. 4111–4119, 2015. DOI: 10.1021/acsnano.5b00218.

C. Huang, Efficient and broadband polarization conversion with the coupled metasurfaces, Optics Express, vol. 23, issue. 25, pp.32015–32024, 2015. DOI: 10.1364/OE.23.032015.

A. Shaltout, K. Liu, A. Kildishev, V. Shalaev, Photonic spin Hall effect in gap–plasmon metasurfaces for on-chip chiroptical spectroscopy, Optica, vol. 2, issue. 10, pp. 860–863, 2015. DOI: 10.1364/OPTICA.2.000860

N. K. Grady, J. E. Heyes, D. R. Chowdhury, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. R. Dalvit, H. T. Chen, Terahertz

Metamaterials for Linear Polarization Conversion and Anomalous Refraction, Science, vol. 340, pp. 1304–1307, 2013. DOI:

1126/science.1235399.

D. Koroliuk, V. S. Koroliuk, E. Nicolai, P. Bisegna, L. Stella, N. Rosato, A statistical model of macromolecules dynamics for Fluorescence Correlation Spectroscopy data analysis, Statistics, Optimization and Information Computing (SOIC), vol. 4, pp. 233–242, 2016. DOI: 10.19139/soic.v4i3.219.

S. O. Dovgyi, O. I. Yurikov, M. O. Zozyuk, On One Statistical Model of Error Rate in the Stream of Packet Data Transmission through Communication Channels, Cybern. Sys. Anal., vol. 56, pp. 739-–744, 2020. DOI:10.1007/s10559-020-00294-x.

V. Sze, Y. H. Chen, T. J. Yang, J. Emer, Efficient Processing of Deep Neural Networks: A Tutorial and Survey, Proceedings of the IEEE, vol. 105, pp. 2295–2329, 2017. DOI: 10.1109/JPROC.2017.2761740.

https://pytorch.org/docs/stable/generated/torch.nn.Conv3d.html#torch.nn.Conv3d, Applying a 3D convolution, PyTorch Contributors, 2022.

Published
2023-04-20
How to Cite
Zozyuk, M., Koroliouk, D., Krysenko, P., Yurikov, A., & Yakymenko, Y. (2023). Prediction of Characteristics Using a Convolutional Neural Network Based on Experimental Data on the Structure and Composition of Metamaterials. Statistics, Optimization & Information Computing, 11(3), 730-739. https://doi.org/10.19139/soic-2310-5070-1707
Section
Research Articles