Radiation Pattern Prediction for Metasurfaces: A Neural Network-Based Approach

As the current standardization for the 5G networks nears completion, work towards understanding the potential technologies for the 6G wireless networks is already underway. One of these potential technologies for the 6G networks are Reconfigurable Intelligent Surfaces (RISs). They offer unprecedented degrees of freedom towards engineering the wireless channel, i.e., the ability to modify the characteristics of the channel whenever and however required. Nevertheless, such properties demand that the response of the associated metasurface (MSF) is well understood under all possible operational conditions. While an understanding of the radiation pattern characteristics can be obtained through either analytical models or full wave simulations, they suffer from inaccuracy under certain conditions and extremely high computational complexity, respectively. Hence, in this paper we propose a novel neural networks based approach that enables a fast and accurate characterization of the MSF response. We analyze multiple scenarios and demonstrate the capabilities and utility of the proposed methodology. Concretely, we show that this method is able to learn and predict the parameters governing the reflected wave radiation pattern with an accuracy of a full wave simulation (98.8%-99.8%) and the time and computational complexity of an analytical model. The aforementioned result and methodology will be of specific importance for the design, fault tolerance and maintenance of the thousands of RISs that will be deployed in the 6G network environment.

[1]  Isaac E. Lagaris,et al.  Solving differential equations with neural networks: implementation on a DSP platform , 2002, 2002 14th International Conference on Digital Signal Processing Proceedings. DSP 2002 (Cat. No.02TH8628).

[2]  Marco Di Renzo,et al.  Analytical Modeling of the Path-Loss for Reconfigurable Intelligent Surfaces – Anomalous Mirror or Scatterer ? , 2020, 2020 IEEE 21st International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[3]  Q. Abbasi,et al.  A multiband circular polarization selective metasurface for microwave applications , 2021, Scientific reports.

[4]  Claudomiro Sales,et al.  Machine learning algorithms for damage detection: Kernel-based approaches , 2016 .

[5]  Bo O. Zhu,et al.  Switchable metamaterial reflector/absorber for different polarized electromagnetic waves , 2010, 1010.4377.

[6]  Xiaojing Huang,et al.  White Paper on Broadband Connectivity in 6G , 2020, 2004.14247.

[7]  Symeon Chatzinotas,et al.  Performance Analysis of Cell-Free Massive MIMO Systems: A Stochastic Geometry Approach , 2020, IEEE Transactions on Vehicular Technology.

[8]  Pingzhi Fan,et al.  6G Wireless Networks: Vision, Requirements, Architecture, and Key Technologies , 2019, IEEE Vehicular Technology Magazine.

[9]  Habib Ammari,et al.  Enhancement of Near Cloaking for the Full Maxwell Equations , 2012, SIAM J. Appl. Math..

[10]  Yongfeng Li,et al.  Deep Learning: A Rapid and Efficient Route to Automatic Metasurface Design , 2019, Advanced science.

[11]  Kumar Vijay Mishra,et al.  Joint Multi-Layer GAN-Based Design of Tensorial RF Metasurfaces , 2019, 2019 IEEE 29th International Workshop on Machine Learning for Signal Processing (MLSP).

[12]  Mohamed-Slim Alouini,et al.  Wireless Communications Through Reconfigurable Intelligent Surfaces , 2019, IEEE Access.

[13]  Harald Haas,et al.  What is LiFi? , 2015, 2015 European Conference on Optical Communication (ECOC).

[14]  David R. Smith,et al.  Precise Localization of Multiple Noncooperative Objects in a Disordered Cavity by Wave Front Shaping. , 2018, Physical review letters.

[15]  Mathias Fink,et al.  Optimally diverse communication channels in disordered environments with tuned randomness , 2018, Nature Electronics.

[16]  Shlomo Shamai,et al.  Reconfigurable Intelligent Surfaces vs. Relaying: Differences, Similarities, and Performance Comparison , 2019, IEEE Open Journal of the Communications Society.

[17]  Martin Fodslette Møller,et al.  A scaled conjugate gradient algorithm for fast supervised learning , 1993, Neural Networks.

[18]  Eduard Alarcón,et al.  Fault Tolerance in Programmable Metasurfaces: The Beam Steering Case , 2019, 2019 IEEE International Symposium on Circuits and Systems (ISCAS).

[19]  Symeon Chatzinotas,et al.  Reconfigurable Intelligent Surfaces for Smart Cities: Research Challenges and Opportunities , 2020, IEEE Open Journal of the Communications Society.

[20]  M. Afzal,et al.  Low-Cost Nonuniform Metallic Lattice for Rectifying Aperture Near-Field of Electromagnetic Bandgap Resonator Antennas , 2020, IEEE Transactions on Antennas and Propagation.

[21]  Jinghui Qiu,et al.  A thin wideband high-spatial-resolution focusing metasurface for near-field passive millimeter-wave imaging , 2018 .

[22]  Sungjoon Lim,et al.  Frequency-tunable metamaterial absorber using a varactor-loaded fishnet-like resonator. , 2016, Applied optics.

[23]  T. Cui,et al.  Metasurface-Assisted Passive Wireless Communication with Commodity Wi-Fi Signals , 2020, 2001.09567.

[24]  Marzieh Najafi,et al.  Intelligent Reflecting Surfaces for Free Space Optical Communications , 2019, 2019 IEEE Global Communications Conference (GLOBECOM).

[25]  Wei Ting Chen,et al.  Achromatic metalens over 60 nm bandwidth in the visible , 2017, 2017 Conference on Lasers and Electro-Optics (CLEO).

[26]  K. Mandal,et al.  Single-layer polarization-insensitive frequency selective surface for beam reconfigurability of monopole antennas , 2020, Journal of Electromagnetic Waves and Applications.

[27]  William Stafford Noble,et al.  Machine learning applications in genetics and genomics , 2015, Nature Reviews Genetics.

[28]  Tie Jun Cui,et al.  Intelligent Electromagnetic Sensing with Learnable Data Acquisition and Processing , 2019, Patterns.

[29]  Xiang Wan,et al.  Reconfigurable conversions of reflection, transmission, and polarization states using active metasurface , 2017 .

[30]  Jason Hickey,et al.  Data-driven metasurface discovery , 2018, ACS nano.

[31]  Peter R. Wiecha,et al.  Deep learning meets nanophotonics: A generalized accurate predictor for near fields and far fields of arbitrary 3D nanostructures. , 2019, Nano letters.

[32]  Albert Cabellos-Aparicio,et al.  Error Analysis of Programmable Metasurfaces for Beam Steering , 2020, IEEE Journal on Emerging and Selected Topics in Circuits and Systems.

[33]  Maokun Li,et al.  A programmable metasurface with dynamic polarization, scattering and focusing control , 2016, Scientific Reports.

[34]  Sergei A. Tretyakov,et al.  Intelligent Metasurfaces with Continuously Tunable Local Surface Impedance for Multiple Reconfigurable Functions , 2018, Physical Review Applied.

[35]  Xiang Wan,et al.  Machine‐Learning Designs of Anisotropic Digital Coding Metasurfaces , 2018, Advanced Theory and Simulations.

[36]  Dimitrios I. Fotiadis,et al.  Artificial neural networks for solving ordinary and partial differential equations , 1997, IEEE Trans. Neural Networks.

[37]  Raed M. Shubair,et al.  Enabling Technologies For 6g Future Wireless Communications: Opportunities And Challenges , 2020, 2002.06068.

[38]  Liang Yang,et al.  On the Performance of RIS-Assisted Dual-Hop UAV Communication Systems , 2020, IEEE Transactions on Vehicular Technology.

[39]  N. Yu,et al.  Light Propagation with Phase Discontinuities: Generalized Laws of Reflection and Refraction , 2011, Science.

[40]  Eduard Alarcón,et al.  Reprogrammable Graphene-based Metasurface Mirror with Adaptive Focal Point for THz Imaging , 2019, Scientific Reports.

[41]  M. S. Abrishamian,et al.  Terahertz Kerr nonlinearity analysis of a microribbon graphene array using the harmonic balance method , 2017 .

[42]  Philipp del Hougne Robust Position Sensing with Wave Fingerprints in Dynamic Complex Environments , 2020 .

[43]  Eduard Alarcón,et al.  Digital Metasurface Based on Graphene: An Application to Beam Steering in Terahertz Plasmonic Antennas , 2019, IEEE Transactions on Nanotechnology.

[44]  Albert Cabellos-Aparicio,et al.  Scalability Analysis of Programmable Metasurfaces for Beam Steering , 2020, IEEE Access.

[45]  Mohamed-Slim Alouini,et al.  Smart radio environments empowered by reconfigurable AI meta-surfaces: an idea whose time has come , 2019, EURASIP Journal on Wireless Communications and Networking.

[46]  Euripidis Glavas,et al.  Solving differential equations with constructed neural networks , 2009, Neurocomputing.

[47]  Qiang Cheng,et al.  MIMO Transmission Through Reconfigurable Intelligent Surface: System Design, Analysis, and Implementation , 2020, IEEE Journal on Selected Areas in Communications.

[48]  Metamaterial characterization by applying different boundary conditions on triangular split ring resonator type metamaterials , 2017 .

[49]  David R. Smith,et al.  Learned Integrated Sensing Pipeline: Reconfigurable Metasurface Transceivers as Trainable Physical Layer in an Artificial Neural Network , 2019, Advanced science.

[50]  Maria Kafesaki,et al.  Pairing Toroidal and Magnetic Dipole Resonances in Elliptic Dielectric Rod Metasurfaces for Reconfigurable Wavefront Manipulation in Reflection , 2018, Advanced optical materials.

[51]  Kyu-Tae Lee,et al.  A Generative Model for Inverse Design of Metamaterials , 2018, Nano letters.

[52]  Henk Wymeersch,et al.  Radio Localization and Mapping With Reconfigurable Intelligent Surfaces: Challenges, Opportunities, and Research Directions , 2020, IEEE Vehicular Technology Magazine.

[53]  Lian Shen,et al.  Deep-learning-enabled self-adaptive microwave cloak without human intervention , 2020 .

[54]  Ian F. Akyildiz,et al.  Realizing Wireless Communication Through Software-Defined HyperSurface Environments , 2018, 2018 IEEE 19th International Symposium on "A World of Wireless, Mobile and Multimedia Networks" (WoWMoM).

[55]  David R. Smith,et al.  Controlling Electromagnetic Fields , 2006, Science.

[56]  Eduard Alarcón,et al.  Workload Characterization of Programmable Metasurfaces , 2019, NANOCOM.

[57]  Dimitris G. Papageorgiou,et al.  Neural Network Methods for Boundary Value Problems Defined in Arbitrarily Shaped Domains , 1998, ArXiv.

[58]  Hang Li,et al.  Modeling of All-Dielectric Metasurfaces Using Deep Neural Networks , 2019, 2019 International Applied Computational Electromagnetics Society Symposium (ACES).

[59]  Walid Saad,et al.  A Vision of 6G Wireless Systems: Applications, Trends, Technologies, and Open Research Problems , 2019, IEEE Network.

[60]  Eduard Alarcón,et al.  Programmable Metasurfaces: State of the Art and Prospects , 2018, 2018 IEEE International Symposium on Circuits and Systems (ISCAS).

[61]  Sendhil Mullainathan,et al.  Machine Learning: An Applied Econometric Approach , 2017, Journal of Economic Perspectives.

[62]  T. Cui,et al.  Metasurface-assisted massive backscatter wireless communication with commodity Wi-Fi signals , 2020, Nature Communications.

[63]  Shuo Liu,et al.  Information entropy of coding metasurface , 2016, Light: Science & Applications.

[64]  David R. Smith,et al.  Polarizability extraction of complementary metamaterial elements in waveguides for aperture modeling , 2017 .

[65]  David R. Smith,et al.  Analytic Model of Coax-Fed Printed Metasurfaces and Analysis of Antenna Parameters , 2020, IEEE Transactions on Antennas and Propagation.

[66]  K. Esselle,et al.  Directivity improvement of a Fabry-Perot cavity antenna by enhancing near field characteristic , 2016, 2016 17th International Symposium on Antenna Technology and Applied Electromagnetics (ANTEM).

[67]  Jingbo Sun,et al.  High-Efficiency All-Dielectric Metasurfaces for Ultracompact Beam Manipulation in Transmission Mode. , 2015, Nano letters.

[68]  Karu P. Esselle,et al.  Multiobjective Particle Swarm Optimization to Design a Time-Delay Equalizer Metasurface for an Electromagnetic Band-Gap Resonator Antenna , 2017, IEEE Antennas and Wireless Propagation Letters.

[69]  Donald C. Wunsch,et al.  Query-based learning for aerospace applications , 2003, IEEE Trans. Neural Networks.

[70]  Sandeep Inampudi,et al.  Neural network based design of metagratings , 2018, Applied Physics Letters.

[71]  Avinash Agarwal,et al.  Radial Basis Function Artificial Neural Network: Spread Selection , 2012 .

[72]  S. Tretyakov,et al.  Electromagnetic cloaking with metamaterials , 2009 .

[73]  Hong Tang,et al.  A Novel Modeling Approach for All-Dielectric Metasurfaces Using Deep Neural Networks , 2019, ArXiv.

[74]  Ian F. Akyildiz,et al.  A New Wireless Communication Paradigm through Software-Controlled Metasurfaces , 2018, IEEE Communications Magazine.

[75]  Andreas Pitsillides,et al.  Extremum Seeking Control for Beam Steering using Hypersurfaces , 2020, 2020 IEEE International Conference on Communications Workshops (ICC Workshops).

[76]  Mohamed-Slim Alouini,et al.  Smart Radio Environments Empowered by Reconfigurable Intelligent Surfaces: How it Works, State of Research, and Road Ahead , 2020, ArXiv.

[77]  Karu P. Esselle,et al.  3-D-Printed Phase-Rectifying Transparent Superstrate for Resonant-Cavity Antenna , 2019, IEEE Antennas and Wireless Propagation Letters.

[78]  K. Mandal,et al.  Single-layer ultra-wide stop-band frequency selective surface using interconnected square rings , 2021 .

[79]  Sergio Barbarossa,et al.  6G: The Next Frontier , 2019, ArXiv.

[80]  Hyok J. Song,et al.  Two-dimensional beam steering using an electrically tunable impedance surface , 2003 .

[81]  Sergio Barbarossa,et al.  6G: The Next Frontier: From Holographic Messaging to Artificial Intelligence Using Subterahertz and Visible Light Communication , 2019, IEEE Vehicular Technology Magazine.

[82]  Shanguo Huang,et al.  Magnetically tunable metamaterial perfect absorber , 2016 .

[83]  Mohammad Albooyeh,et al.  Analysis of Metasurfaces at Oblique Incidence , 2017, IEEE Transactions on Antennas and Propagation.

[84]  Barbara M. Masini,et al.  The Use of Meta-Surfaces in Vehicular Networks , 2020, J. Sens. Actuator Networks.