A Data-Aware Fourier Neural Operator for Modeling Spatiotemporal Electromagnetic Fields

Neural operators have recently emerged as a powerful tool for solving partial differential equations (PDEs), including Maxwell's equations in computational electromagnetics. Prior machine learning models often fail to capture both temporal field evolution and generalization to irregular geometries. Here, we introduce a Data-Aware Fourier Neural Operator (DA-FNO) as a surrogate solver. Applied autoregressively, it predicts the temporal evolution of all field components while monitoring energy dynamics, terminating automatically once energy converges. The model generalizes to complex geometries and the optical C-band without retraining, achieving a 7.5* speedup with nearly 92.5% accuracy. This approach offers a potentially efficient and accurate alternative to conventional iterative solvers for C-band photonic simulations.

Publication Details

Journal
arXiv (Cornell University)
Published
2025-08-24
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

A Data-Aware Fourier Neural Operator for Modeling Spatiotemporal Electromagnetic Fields

arXiv (Cornell University)
Geochemistry and Geologic Mapping
article

A Data-Aware Fourier Neural Operator for Modeling Spatiotemporal Electromagnetic Fields

article en

Abstract

Neural operators have recently emerged as a powerful tool for solving partial differential equations (PDEs), including Maxwell's equations in computational electromagnetics. Prior machine learning models often fail to capture both temporal field evolution and generalization to irregular geometries. Here, we introduce a Data-Aware Fourier Neural Operator (DA-FNO) as a surrogate solver. Applied autoregressively, it predicts the temporal evolution of all field components while monitoring energy dynamics, terminating automatically once energy converges. The model generalizes to complex geometries and the optical C-band without retraining, achieving a 7.5* speedup with nearly 92.5% accuracy. This approach offers a potentially efficient and accurate alternative to conventional iterative solvers for C-band photonic simulations.

arXiv (Cornell University)
Affordable and clean energy
Openalex Percentile: Top 64%
Geochemistry and Geologic Mapping
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A Data-Aware Fourier Neural Operator for Modeling Spatiotemporal Electromagnetic Fields · arXiv (Cornell University) (2025) | TGRS Research Map | TGRS