Time-Domain Modeling of Nonlinear Optical Structures With Extended Stability FDTD Schemes
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Bibliographic record
Abstract
Two numerical methodologies based on the finite-difference time-domain (FDTD) technique are formulated and applied to model optical structures with Raman and Kerr type nonlinearities. The first scheme is based on the alternating-direction implicit finite-difference time-domain (ADI-FDTD), while the second one is based on a recently introduced spatially filtered FDTD method. Both methods are able to extend FDTD time steps beyond the conventional Courant-Friedrichs-Lewy stability limit. It is demonstrated that both methods are significantly faster than the standard nonlinear FDTD, while maintaining its level of accuracy. Their potential as design and analysis tools for nonlinear periodic structures is demonstrated with the study of a 1-D problem involving a nonlinear Bragg reflector.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it