Physics-aware hyper-reduction for full-vector photonic waveguide mode solvers
Abstract
Photonic waveguide design often requires repeated full-vector Maxwell eigenmode solves over wavelength and geometry, where the subpixel smoothing needed at dielectric interfaces makes operator assembly a substantial part of the cost. We present a physics-aware hyper-reduction framework for accelerating this assembly. The method exploits an exact affine dependence of the discrete operators on the locally sampled inverse-permittivity tensor, and chooses its strategy from how a parameter acts on the interface cells. We demonstrate two regimes. In wavelength sweeps at fixed geometry, tensor values change on a fixed set of cells, and proper orthogonal decomposition with matrix discrete empirical interpolation reproduces the operators from few snapshots. In moving-boundary sweeps, interface information relocates across the grid, and event-driven dynamic local sampling updates only the coefficients a geometric step changes, reproducing full assembly exactly. These results show that operator assembly can be reduced by more than an order of magnitude without approximating the moving boundary, shifting the cost of a photonic mode sweep to the eigensolver.
Related
- Adaptive Eigenvector Continuation for Full-Vector Photonic Waveguide Mode Emulation
- Tunable slow-light waveguide achieved by magneto-photonic crystals
- Performance Analysis and Design of an Optomechanical Microphone Using an Integrated Photonic Waveguide Interferometer
- Bimodal non-Gaussian photonic states from a single quantum emitter in a waveguide
- High Sensitivity Fiber-Coupled Vector Magnetometry using NV Centers in a Femtosecond Laser-Written Diamond Waveguide
BibTeX
@misc{rodriguezguillen2026physicsaware,
title = {{Physics-aware hyper-reduction for full-vector photonic waveguide mode solvers}},
author = {Daniel Rodríguez-Guillén and Lorena Velázquez-Ibarra},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.20948},
eprint = {2609.20948},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.20948},
}
RIS
TY - UNPB
TI - Physics-aware hyper-reduction for full-vector photonic waveguide mode solvers
AU - Daniel Rodríguez-Guillén
AU - Lorena Velázquez-Ibarra
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.20948
UR - https://arxiv.org/abs/2609.20948
AB - Photonic waveguide design often requires repeated full-vector Maxwell eigenmode solves over wavelength and geometry, where the subpixel smoothing needed at dielectric interfaces makes operator assembly a substantial part of the cost. We present a physics-aware hyper-reduction framework for accelerating this assembly. The method exploits an exact affine dependence of the discrete operators on the locally sampled inverse-permittivity tensor, and chooses its strategy from how a parameter acts on the interface cells. We demonstrate two regimes. In wavelength sweeps at fixed geometry, tensor values change on a fixed set of cells, and proper orthogonal decomposition with matrix discrete empirical interpolation reproduces the operators from few snapshots. In moving-boundary sweeps, interface information relocates across the grid, and event-driven dynamic local sampling updates only the coefficients a geometric step changes, reproducing full assembly exactly. These results show that operator assembly can be reduced by more than an order of magnitude without approximating the moving boundary, shifting the cost of a photonic mode sweep to the eigensolver.
ER -