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This research applies machine learning techniques, specifically Fourier-space modeling and differentiable layers, to optimize the design of dielectric metasurfaces with bound states in the continuum (BIC). By mapping diverse geometries to a shared reciprocal-lattice grid, the study significantly reduces prediction errors for ultranarrow qBIC resonances while enabling spectrum-to-structure reconstruction. The work represents a meaningful intersection where AI methods directly enhance computational physics and optical material design rather than serving as an incidental feature.
Learning qBIC Resonances across Metasurface Families in Dielectric Fourier Space
arXiv:2610.11500v1 Announce Type: cross Abstract: Bound states in the continuum (BIC) metasurfaces are typically described by geometry-specific parameters, hindering cross-geometry comparison, while ultranarrow qBIC features are easily diluted in full-spectrum learning. Here, 2015 samples from seven dielectric metasurface families are mapped to a shared reciprocal-lattice grid, where two frozen low-order Fourier channels capture resonance shifts with mean within-branch $R^2$ values of 0.871-0.999. Field-level analysis of two representative branches further confirms that these shifts are consistent with the Maxwell-Fourier perturbation picture. A five-channel K-space backbone models the broadband spectrum, while a local complex K-space expert parameterizes the qBIC resonance through a differentiable Fano layer. The expert reduces resonance-position mean absolute error (MAE) from 3.2 to 0.95 nm and the resonance-depth error by 14-fold on a geometry-blocked test set. The same coordinate supports spectrum-to-structure reconstruction.
Abstract:Bound states in the continuum (BIC) metasurfaces are typically described by geometry-specific parameters, hindering cross-geometry comparison, while ultranarrow qBIC features are easily diluted in full-spectrum learning. Here, 2015 samples from seven dielectric metasurface families are mapped to a shared reciprocal-lattice grid, where two frozen low-order Fourier channels capture resonance shifts with mean within-branch $R^2$ values of 0.871-0.999. Field-level analysis of two representative branches further confirms that these shifts are consistent with the Maxwell-Fourier perturbation picture. A five-channel K-space backbone models the broadband spectrum, while a local complex K-space expert parameterizes the qBIC resonance through a differentiable Fano layer. The expert reduces resonance-position mean absolute error (MAE) from 3.2 to 0.95 nm and the resonance-depth error by 14-fold on a geometry-blocked test set. The same coordinate supports spectrum-to-structure reconstruction.
Optics (physics.optics); Machine Learning (cs.LG); Computational Physics (physics.comp-ph)
arXiv:2610.11500 [physics.optics]
(or arXiv:2610.11500v1 [physics.optics] for this version)
https://doi.org/10.48550/arXiv.2610.11500 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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