What question did this study set out to answer?

To develop an adaptive eigenvector-continuation framework that accelerates and stabilizes repetitive full-vector Maxwell eigenmode calculations across varying waveguide parameters.

August 16, 2026Journal of the Optical Society of America BOpen Access

Adaptive Eigenvector Continuation for Full-Vector Photonic Waveguide Mode Emulation

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Authors

DRDaniel Rodriguez-Guillen LVLorena Velázquez-Ibarra

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Overview

Computational modeling demonstrates adaptive eigenvector continuation accelerates modal sweeps in photonic waveguides, highlighting its value as an accurate, operator-consistent emulator.

Key Points

To develop an adaptive eigenvector-continuation framework that accelerates and stabilizes repetitive full-vector Maxwell eigenmode calculations across varying waveguide parameters.
Constructed a reduced basis from selected full-order modal snapshots and solved projected Maxwell eigenproblems at new query points.
Reconstructed full modal fields and monitored approximation accuracy using full operator residuals.
Evaluated the framework across fixed-geometry wavelength sweeps, multimode ridge waveguide tracking, and geometry-dependent width sweeps.
Wavelength sweeps in fixed-geometry strip waveguides reproduced target modal branches with low operator residuals and minimal effective-index error.
A shared reduced basis enabled robust broadband mode-family tracking and residual-guided adaptive enrichment in multimode ridge waveguides.
Geometry-dependent width sweeps yielded accurate effective-index values and high field overlap while using residuals to detect moving-boundary discretization errors.

Cite This Study

Rodriguez-Guillen et al. (2026) studied this question.

synapsesocial.com/papers/6a81791ff2fb91fc834ac453 https://doi.org/10.1364/josab.610881

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August 16, 2026Journal of the Optical Society of America BOpen Access

Adaptive Eigenvector Continuation for Full-Vector Photonic Waveguide Mode Emulation

View Full Paper

Ask AI

Bookmark

Authors

DRDaniel Rodriguez-Guillen LVLorena Velázquez-Ibarra

Discussion

Member takes

Overview

Computational modeling demonstrates adaptive eigenvector continuation accelerates modal sweeps in photonic waveguides, highlighting its value as an accurate, operator-consistent emulator.

Key Points

To develop an adaptive eigenvector-continuation framework that accelerates and stabilizes repetitive full-vector Maxwell eigenmode calculations across varying waveguide parameters.
Constructed a reduced basis from selected full-order modal snapshots and solved projected Maxwell eigenproblems at new query points.
Reconstructed full modal fields and monitored approximation accuracy using full operator residuals.
Evaluated the framework across fixed-geometry wavelength sweeps, multimode ridge waveguide tracking, and geometry-dependent width sweeps.
Wavelength sweeps in fixed-geometry strip waveguides reproduced target modal branches with low operator residuals and minimal effective-index error.
A shared reduced basis enabled robust broadband mode-family tracking and residual-guided adaptive enrichment in multimode ridge waveguides.
Geometry-dependent width sweeps yielded accurate effective-index values and high field overlap while using residuals to detect moving-boundary discretization errors.

Cite This Study

Rodriguez-Guillen et al. (2026) studied this question.

synapsesocial.com/papers/6a81791ff2fb91fc834ac453 https://doi.org/10.1364/josab.610881

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