Physics-informed neural networks for inverse problems in nano-optics and metamaterials

Chen, Yuyao; Lu, Lu; Karniadakis, George Em; Dal Negro, Luca

doi:10.1364/OE.384875

Title: Physics-informed neural networks for inverse problems in nano-optics and metamaterials

Abstract

In this paper, we employ the emerging paradigm of physics-informed neural networks (PINNs) for the solution of representative inverse scattering problems in photonic metamaterials and nano-optics technologies. In particular, we successfully apply mesh-free PINNs to the difficult task of retrieving the effective permittivity parameters of a number of finite-size scattering systems that involve many interacting nanostructures as well as multi-component nanoparticles. Our methodology is fully validated by numerical simulations based on the finite element method (FEM). The development of physics-informed deep learning techniques for inverse scattering can enable the design of novel functional nanostructures and significantly broaden the design space of metamaterials by naturally accounting for radiation and finite-size effects beyond the limitations of traditional effective medium theories.

Authors:

Chen, Yuyao;

; Karniadakis, George Em; Dal Negro, Luca

Publication Date:: Mon Apr 06 00:00:00 EDT 2020

Research Org.:: Brown Univ., Providence, RI (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1608494

Alternate Identifier(s):: OSTI ID: 1803847; OSTI ID: 2281731

Grant/Contract Number:: PhILMs project (No. de-sc0019453); SC0019453

Resource Type:: Published Article

Journal Name:: Optics Express

Additional Journal Information:: Journal Name: Optics Express Journal Volume: 28 Journal Issue: 8; Journal ID: ISSN 1094-4087

Publisher:: Optical Society of America

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Optics

Citation Formats


                    Chen, Yuyao, Lu, Lu, Karniadakis, George Em, and Dal Negro, Luca. Physics-informed neural networks for inverse problems in nano-optics and metamaterials.  United States: N. p., 2020. 
Web.  doi:10.1364/OE.384875.

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                    Chen, Yuyao, Lu, Lu, Karniadakis, George Em, & Dal Negro, Luca. Physics-informed neural networks for inverse problems in nano-optics and metamaterials.  United States.  https://doi.org/10.1364/OE.384875

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                    Chen, Yuyao, Lu, Lu, Karniadakis, George Em, and Dal Negro, Luca. Mon .  
"Physics-informed neural networks for inverse problems in nano-optics and metamaterials".  United States.  https://doi.org/10.1364/OE.384875.

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@article{osti_1608494,

  title        = {Physics-informed neural networks for inverse problems in nano-optics and metamaterials},

  author       = {Chen, Yuyao and Lu, Lu and Karniadakis, George Em and Dal Negro, Luca},

  abstractNote = {In this paper, we employ the emerging paradigm of physics-informed neural networks (PINNs) for the solution of representative inverse scattering problems in photonic metamaterials and nano-optics technologies. In particular, we successfully apply mesh-free PINNs to the difficult task of retrieving the effective permittivity parameters of a number of finite-size scattering systems that involve many interacting nanostructures as well as multi-component nanoparticles. Our methodology is fully validated by numerical simulations based on the finite element method (FEM). The development of physics-informed deep learning techniques for inverse scattering can enable the design of novel functional nanostructures and significantly broaden the design space of metamaterials by naturally accounting for radiation and finite-size effects beyond the limitations of traditional effective medium theories.},

  doi          = {10.1364/OE.384875},

  journal      = {Optics Express},

  number       = 8,

  volume       = 28,

  place        = {United States},

  year         = {Mon Apr 06 00:00:00 EDT 2020},

  month        = {Mon Apr 06 00:00:00 EDT 2020}

}

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Title: Physics-informed neural networks for inverse problems in nano-optics and metamaterials

Abstract

Citation Formats

Effective dielectric tensor for electromagnetic wave propagation in random media journal, April 2008

Inverse design in nanophotonics journal, October 2018

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Optimization of Large-Scale Vogel Spiral Arrays of Plasmonic Nanoparticles journal, July 2018

Plasmonic and metamaterial cloaking: physical mechanisms and potentials journal, August 2008

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Free space experimental scattering database continuation: experimental set-up and measurement precision journal, November 2005

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Localization of scattering resonances in aperiodic Vogel spirals journal, March 2019

Looking Back on Inverse Scattering Theory journal, January 2018

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Geometrical structure, multifractal spectra and localized optical modes of aperiodic Vogel spirals journal, January 2012

Effective medium theory for magnetodielectric composites: Beyond the long-wavelength limit journal, August 2006

Plasmonic-photonic arrays with aperiodic spiral order for ultra-thin film solar cells journal, January 2012

Control of optical orbital angular momentum by Vogel spiral arrays of metallic nanoparticles journal, January 2012

A Plug-and-Play Priors Approach for Solving Nonlinear Imaging Inverse Problems journal, December 2017

Circularly Symmetric Light Scattering from Nanoplasmonic Spirals journal, May 2011

Plasmonic cloaking of cylinders: finite length, oblique illumination and cross-polarization coupling journal, October 2010

Effective medium theory for two-dimensional random media composed of core–shell cylinders journal, October 2013

Learning approach to optical tomography journal, January 2015

Scanning near-field optical microscopy with aperture probes: Fundamentals and applications journal, May 2000

Embedding Deep Learning in Inverse Scattering Problems journal, January 2020

Low-contrast bandgaps of a planar parabolic spiral lattice journal, January 2009

SEAGLE: Sparsity-Driven Image Reconstruction Under Multiple Scattering journal, March 2018

Past achievements and future challenges in the development of three-dimensional photonic metamaterials journal, July 2011

Localized photonic band edge modes and orbital angular momenta of light in a golden-angle spiral journal, January 2011

Effective dielectric tensor for electromagnetic wave propagation in random media
journal, April 2008

Inverse design in nanophotonics
journal, October 2018

Invisibility and Cloaking: Origins, Present, and Future Perspectives
journal, September 2015

Optimization of Large-Scale Vogel Spiral Arrays of Plasmonic Nanoparticles
journal, July 2018

Plasmonic and metamaterial cloaking: physical mechanisms and potentials
journal, August 2008

Efficient and accurate inversion of multiple scattering with deep learning
journal, January 2018

Effective medium theory for two-dimensional non-magnetic metamaterial lattices up to quadrupole expansions
journal, July 2015

Free space experimental scattering database continuation: experimental set-up and measurement precision
journal, November 2005

Versatile reconstruction framework for diffraction tomography with intensity measurements and multiple scattering
journal, January 2018

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
journal, February 2019

Localization of scattering resonances in aperiodic Vogel spirals
journal, March 2019

Looking Back on Inverse Scattering Theory
journal, January 2018

Homogenization of periodic metamaterials by field averaging over unit cell boundaries: use and limitations
journal, April 2013

Geometrical structure, multifractal spectra and localized optical modes of aperiodic Vogel spirals
journal, January 2012

Effective medium theory for magnetodielectric composites: Beyond the long-wavelength limit
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Plasmonic-photonic arrays with aperiodic spiral order for ultra-thin film solar cells
journal, January 2012

Control of optical orbital angular momentum by Vogel spiral arrays of metallic nanoparticles
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A Plug-and-Play Priors Approach for Solving Nonlinear Imaging Inverse Problems
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Circularly Symmetric Light Scattering from Nanoplasmonic Spirals
journal, May 2011

Plasmonic cloaking of cylinders: finite length, oblique illumination and cross-polarization coupling
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Effective medium theory for two-dimensional random media composed of core–shell cylinders
journal, October 2013

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journal, January 2015

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journal, May 2000

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