Physics‐Informed Machine Learning for Inverse Design of Optical Metamaterials

Author:

Sarkar Sulagna1ORCID,Ji Anqi2,Jermain Zachary3,Lipton Robert3,Brongersma Mark4,Dayal Kaushik1567,Noh Hae Young18ORCID

Affiliation:

1. Department of Civil and Environmental Engineering Carnegie Mellon University 5000 Forbes Avenue Pittsburgh PA 15213 USA

2. Department of Electrical Engineering Stanford University 450 Jane Stanford Way Stanford CA 94305 USA

3. Department of Mathematics Louisiana State University 303 Lockett Hall Baton Rouge LA 70803 USA

4. Geballe Laboratory for Advanced Materials Stanford University 450 Jane Stanford Way Stanford CA 94305 USA

5. Center for Nonlinear Analysis Department of Mathematical Sciences Carnegie Mellon University 5000 Forbes Avenue Pittsburgh PA 15213 USA

6. Department of Mechanical Engineering Carnegie Mellon University 5000 Forbes Avenue Pittsburgh PA 15213 USA

7. Pittsburgh Quantum Institute University of Pittsburgh Pittsburgh PA 15260 USA

8. Department of Civil and Environmental Engineering Stanford University 450 Jane Stanford Way Stanford CA 94305 USA

Abstract

Optical metamaterials manipulate light through various confinement and scattering processes, offering unique advantages like high performance, small form factor and easy integration with semiconductor devices. However, designing metasurfaces with suitable optical responses for complex metamaterial systems remains challenging due to the exponentially growing computation cost and the ill‐posed nature of inverse problems. To expedite the computation for the inverse design of metasurfaces, a physics‐informed deep learning (DL) framework is used. A tandem DL architecture with physics‐based learning is used to select designs that are scientifically consistent, have low error in design prediction, and accurate reconstruction of optical responses. The authors focus on the inverse design of a representative plasmonic device and consider the prediction of design for the optical response of a single wavelength incident or a spectrum of wavelength in the visible light range. The physics‐based constraint is derived from solving the electromagnetic wave equations for a simplified homogenized model. The model converges with an accuracy up to 97% for inverse design prediction with the optical response for the visible light spectrum as input, and up to 96% for optical response of single wavelength of light as input, with optical response reconstruction accuracy of 99%.

Funder

U.S. Department of Energy

Publisher

Wiley

Subject

Pharmacology (medical),Complementary and alternative medicine,Pharmaceutical Science

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