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Deep Learning the Electromagnetic Properties of Metamaterials—A Comprehensive Review

Journal Article · · Advanced Functional Materials
 [1];  [2];  [2];  [2]
  1. Duke University, Durham, NC (United States); Duke University
  2. Duke University, Durham, NC (United States)
Deep neural networks (DNNs) are empirically derived systems that have transformed traditional research methods, and are driving scientific discovery. Here, artificial electromagnetic materials (AEMs)—including electromagnetic metamaterials, photonic crystals, and plasmonics—are research fields where DNN results valorize the data driven approach; especially in cases where conventional methods have failed. In view of the great potential of deep learning for the future of artificial electromagnetic materials research, the status of the field with a focus on recent advances, key limitations, and future directions is reviewed. Strategies, guidance, evaluation, and limits of using deep networks for both forward and inverse AEM problems are presented.
Research Organization:
Duke University, Durham, NC (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
SC0014372
OSTI ID:
1831824
Alternate ID(s):
OSTI ID: 1788135
Journal Information:
Advanced Functional Materials, Journal Name: Advanced Functional Materials Journal Issue: 31 Vol. 31; ISSN 1616-301X
Publisher:
WileyCopyright Statement
Country of Publication:
United States
Language:
English

References (173)

Metamaterials book May 2006
Absorption and Scattering of Light by Small Particles book April 1998
Probabilistic Representation and Inverse Design of Metamaterials Based on a Deep Generative Model with Semi‐Supervised Learning Strategy journal July 2019
Compounding Meta‐Atoms into Metamolecules with Hybrid Artificial Intelligence Techniques journal December 2019
A Bidirectional Deep Neural Network for Accurate Silicon Color Design journal November 2019
Deep Learning Reveals Underlying Physics of Light–Matter Interactions in Nanophotonic Devices journal July 2019
Tackling Photonic Inverse Design with Machine Learning journal January 2021
Metallic Delay Lenses journal January 1948
Metalenses at visible wavelengths: past, present, perspectives: Metalenses at visible wavelengths: past, present, perspectives journal May 2017
Optimization of FSS with Sierpinski island fractal elements using population-based search algorithms and MLP neural network journal February 2014
Pattern Recognition and Machine Learning book January 2006
Introduction to Evolutionary Algorithms book June 2010
Optical Properties of Metal Clusters book January 1995
The uniqueness of a solution to an inverse scattering problem for electromagnetic waves journal January 1992
Surface Plasmons on Smooth and Rough Surfaces and on Gratings book January 1988
Optical Properties of Photonic Crystals book January 2005
An interior algorithm for nonlinear optimization that combines line search and trust region steps journal November 2005
Novel neural network based optimization approach for photonic devices journal January 2014
Constrained supervised learning journal September 1992
Generating optimal topologies in structural design using a homogenization method journal November 1988
Multilayer feedforward networks with a nonpolynomial activation function can approximate any function journal January 1993
Machine learning-based design of meta-plasmonic biosensors with negative index metamaterials journal September 2020
Deep learning in next-generation sequencing journal January 2021
Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations journal February 2019
Generative Model for the Inverse Design of Metasurfaces journal September 2018
Global Optimization of Dielectric Metasurfaces Using a Physics-Driven Neural Network journal July 2019
Deep Learning Meets Nanophotonics: A Generalized Accurate Predictor for Near Fields and Far Fields of Arbitrary 3D Nanostructures journal December 2019
Simultaneous Inverse Design of Materials and Structures via Deep Learning: Demonstration of Dipole Resonance Engineering Using Core–Shell Nanoparticles journal June 2019
Ultranarrow-Band Wavelength-Selective Thermal Emission with Aperiodic Multilayered Metamaterials Designed by Bayesian Optimization journal January 2019
Deep-Learning-Enabled On-Demand Design of Chiral Metamaterials journal May 2018
Free-Form Diffractive Metagrating Design Based on Generative Adversarial Networks journal July 2019
Physics-Based Approach for a Neural Networks Enabled Design of All-Dielectric Metasurfaces journal July 2020
Elucidating the Behavior of Nanophotonic Structures through Explainable Machine Learning Algorithms journal July 2020
Functional Meta-Optics and Nanophotonics Governed by Mie Resonances journal October 2017
Training Deep Neural Networks for the Inverse Design of Nanophotonic Structures journal January 2018
Migrating Knowledge between Physical Scenarios Based on Artificial Neural Networks journal April 2019
A Deep Learning Approach for Objective-Driven All-Dielectric Metasurface Design journal November 2019
Nanorice:  A Hybrid Plasmonic Nanostructure journal April 2006
Electromagnetic inverse scattering: Retrievable information and measurement strategies journal November 1997
Learning representations by back-propagating errors journal October 1986
Deep learning journal May 2015
Transformation optics and metamaterials journal April 2010
Flat optics with designer metasurfaces journal February 2014
All-dielectric metamaterials journal January 2016
Topological photonics journal October 2014
Metamaterial-inspired silicon nanophotonics journal April 2017
Quantum plasmonics journal June 2013
Plasmonic nanostructure design and characterization via Deep Learning journal September 2018
Finding the optical properties of plasmonic structures by image processing using a combination of convolutional neural networks and recurrent neural networks journal June 2019
Recent advances and applications of machine learning in solid-state materials science journal August 2019
Active learning of deep surrogates for PDEs: application to metasurface design journal October 2020
Deep learning approach based on dimensionality reduction for designing electromagnetic nanostructures journal February 2020
Inverse design in nanophotonics journal October 2018
Deep learning for the design of photonic structures journal October 2020
Deep neural networks for the evaluation and design of photonic devices journal December 2020
Inference in artificial intelligence with deep optics and photonics journal December 2020
Deep Neural Network Inverse Design of Integrated Photonic Power Splitters journal February 2019
Plasmonic colours predicted by deep learning journal May 2019
Machine learning inverse problem for topological photonics journal September 2018
Biomimetic ultra-broadband perfect absorbers optimised with reinforcement learning journal January 2020
Smart inverse design of graphene-based photonic metamaterials by an adaptive artificial neural network journal January 2019
Plasmonic nanoparticle simulations and inverse design using machine learning journal January 2019
The inverse design of structural color using machine learning journal January 2019
Full color generation with Fano-type resonant HfO 2 nanopillars designed by a deep-learning approach journal January 2019
General scaling method for electromagnetic fields with application to a matching problem journal April 1973
Simulation and testing of a graded negative index of refraction lens journal August 2005
Neural network based design of metagratings journal June 2018
Machine-learning-assisted metasurface design for high-efficiency thermal emitter optimization journal June 2020
THE ELECTRODYNAMICS OF SUBSTANCES WITH SIMULTANEOUSLY NEGATIVE VALUES OF $\epsilon$ AND μ journal April 1968
Modal classification in optical waveguides using deep learning journal December 2018
A review of metasurfaces: physics and applications journal June 2016
Metasurface inverse design using machine learning approaches journal May 2020
Fast design of plasmonic metasurfaces enabled by deep learning journal October 2020
Artificial intelligence for photonics and photonic materials journal December 2020
Nanoshells to nanoeggs to nanocups: optical properties of reduced symmetry core–shell nanoparticles beyond the quasistatic limit journal October 2008
Roadmap on optical metamaterials journal August 2016
Deep learning models for effective refractive indices in silicon nitride waveguides journal February 2019
Electrically resonant terahertz metamaterials: Theoretical and experimental investigations journal January 2007
Gradient index metamaterials journal March 2005
Full-wave simulations of electromagnetic cloaking structures journal September 2006
Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry journal January 2008
Perfect Metamaterial Absorber journal May 2008
One-Way Extraordinary Optical Transmission and Nonreciprocal Spoof Plasmons journal September 2010
Self-Learning Perfect Optical Chirality via a Deep Neural Network journal November 2019
Extremely Low Frequency Plasmons in Metallic Mesostructures journal June 1996
Plasmon Resonance Shifts of Au-Coated Au 2 S Nanoshells: Insight into Multicomponent Nanoparticle Growth journal June 1997
Composite Medium with Simultaneously Negative Permeability and Permittivity journal May 2000
Magnetic Metamaterials at Telecommunication and Visible Frequencies journal November 2005
EM-ANN models for microstrip vias and interconnects in dataset circuits journal January 1996
Magnetism from conductors and enhanced nonlinear phenomena
  • Pendry, J. B.; Holden, A. J.; Robbins, D. J.
  • IEEE Transactions on Microwave Theory and Techniques, Vol. 47, Issue 11, p. 2075-2084 https://doi.org/10.1109/22.798002
journal January 1999
Gradient-based learning applied to document recognition journal January 1998
Recurrent neural networks and robust time series prediction journal March 1994
An artificial neural network model for effective dielectric constant of microstrip line journal January 1997
Deep Physical Informed Neural Networks for Metamaterial Design journal January 2020
Predicting Scattering From Complex Nano-Structures via Deep Learning journal January 2020
A Hybrid Strategy for the Discovery and Design of Photonic Structures journal March 2020
Programmable Metamaterials for Software-Defined Electromagnetic Control: Circuits, Systems, and Architectures journal March 2020
Computing Optical Properties of Photonic Crystals by Using Multilayer Perceptron and Extreme Learning Machine journal September 2018
Machine Learning Regression Approach to the Nanophotonic Waveguide Analyses journal December 2019
Metal-Lens Antennas journal November 1946
An Open-Source Artificial Neural Network Model for Polarization-Insensitive Silicon-on-Insulator Subwavelength Grating Couplers journal May 2019
Photonics Inverse Design: Pairing Deep Neural Networks With Evolutionary Algorithms journal January 2020
Prediction of Dispersion Relation and PBGs in 2-D PCs by Using Artificial Neural Networks journal October 2012
An Overview of the Theory and Applications of Metasurfaces: The Two-Dimensional Equivalents of Metamaterials journal April 2012
A New Wireless Communication Paradigm through Software-Controlled Metasurfaces journal September 2018
Artificial Dielectrics: Ordinary Metallic Waveguides Mimic Extraordinary Dielectric Media journal November 2014
DeepNIS: Deep Neural Network for Nonlinear Electromagnetic Inverse Scattering journal March 2019
A Survey on Transfer Learning journal October 2010
Neural Network Inverse Modeling and Applications to Microwave Filter Design journal April 2008
Representation Learning: A Review and New Perspectives journal August 2013
Surface-adsorbed polystyrene spheres as a template for nanosized metal particle formation: Optical properties of nanosized Au particle journal January 1999
Accelerating optics design optimizations with deep learning journal June 2019
Nanophotonic particle simulation and inverse design using artificial neural networks journal June 2018
Wave physics as an analog recurrent neural network journal December 2019
Experimental Verification of a Negative Index of Refraction journal April 2001
Terahertz Magnetic Response from Artificial Materials journal March 2004
Magnetic Response of Metamaterials at 100 Terahertz journal November 2004
Sub-Diffraction-Limited Optical Imaging with a Silver Superlens journal April 2005
Controlling Electromagnetic Fields journal June 2006
Optical Conformal Mapping journal June 2006
Metamaterial Electromagnetic Cloak at Microwave Frequencies journal November 2006
Light Propagation with Phase Discontinuities: Generalized Laws of Reflection and Refraction journal September 2011
Planar Photonics with Metasurfaces journal March 2013
Microstructured Magnetic Materials for RF Flux Guides in Magnetic Resonance Imaging journal February 2001
Optically resonant dielectric nanostructures journal November 2016
Inverse molecular design using machine learning: Generative models for matter engineering journal July 2018
Discrete Inverse Problems journal January 2010
Long Short-Term Memory journal November 1997
Reinforcement learning in robotics: A survey journal August 2013
Prediction Network of Metamaterial with Split Ring Resonator Based on Deep Learning journal April 2020
Smart radio environments empowered by reconfigurable AI meta-surfaces: an idea whose time has come journal May 2019
Forward Models: Supervised Learning with a Distal Teacher journal July 1992
Introduction to the Maxwell Garnett approximation: tutorial journal January 2016
Metamodeling of high-contrast-index gratings for color reproduction journal December 2018
Design and optimization of optical passive elements using artificial neural networks journal January 2019
Inverse design in photonics by topology optimization: tutorial journal January 2021
Degenerate critical coupling in all-dielectric metasurface absorbers journal January 2017
Optimization of photonic crystal nanocavities based on deep learning journal January 2018
Efficient optimization of SHG hotspot switching in plasmonic nanoantennas using phase-shaped laser pulses controlled by neural networks journal January 2018
Optimisation of colour generation from dielectric nanostructures using reinforcement learning journal January 2019
Deep learning for accelerated all-dielectric metasurface design journal January 2019
Designing integrated photonic devices using artificial neural networks journal January 2019
Machine learning approach for computing optical properties of a photonic crystal fiber journal January 2019
Training artificial neural network for optimization of nanostructured VO 2 -based smart window performance journal July 2018
Physics-informed neural networks for inverse problems in nano-optics and metamaterials journal January 2020
MetaNet: a new paradigm for data sharing in photonics research journal January 2020
Machine learning and evolutionary algorithm studies of graphene metamaterials for optimized plasmon-induced transparency journal January 2020
Mapping the design space of photonic topological states via deep learning journal January 2020
Deep learning modeling approach for metasurfaces with high degrees of freedom journal January 2020
Neural-adjoint method for the inverse design of all-dielectric metasurfaces journal January 2021
Absorption spectrum of surface-bound cap-shaped gold particles journal January 2002
Optical circular dichroism engineering in chiral metamaterials utilizing a deep learning network journal January 2020
Inverse design of plasmonic metasurfaces by convolutional neural network journal January 2020
Teaching optics to a machine learning network journal January 2020
Engineering colors in all-dielectric metasurfaces: metamodeling approach journal December 2019
Multitask deep-learning-based design of chiral plasmonic metamaterials journal January 2020
Deep learning in nano-photonics: inverse design and beyond journal January 2021
Efficient spectrum prediction and inverse design for plasmonic waveguide systems based on artificial neural networks journal January 2019
Photonic Crystals book December 2008
Theory and numerical methods for solving inverse and ill-posed problems journal June 2019
A review of dielectric optical metasurfaces for wavefront control journal June 2018
Designing nanophotonic structures using conditional deep convolutional generative adversarial networks journal June 2019
Deep learning enabled inverse design in nanophotonics journal February 2020
Exploiting deep learning network in optical chirality tuning and manipulation of diffractive chiral metamaterials journal June 2020
Predictive and generative machine learning models for photonic crystals journal June 2020
Machine learning–assisted global optimization of photonic devices journal October 2020
Multiobjective and categorical global optimization of photonic structures based on ResNet generative neural networks journal September 2020
Active Learning with Statistical Models journal January 1996
Global Uniqueness for a Two-Dimensional Inverse Boundary Value Problem journal January 1996
Extremely Sub-Wavelength Negative Index Metamaterial journal January 2015
Deep Learning for the Inverse Design of Mid-Infrared Graphene Plasmons journal February 2020
Design by neural network of concentric multilayered cylindrical metamaterials journal March 2020
Computational design of efficient grating couplers using artificial intelligence journal March 2020

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