Ultrafast Optical Arbitrary-Order Differentiators Based on Apodized Long-Period Gratings
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Bibliographic record
Abstract
We propose a novel, optimized design for arbitrary-order optical differentiation based on a uniform-period especially apodized long-period fiber or waveguide grating (LPG) operated in transmission. We show that the LPG solution can be optimized to utilize the entire grating resonance bandwidth for optical differentiation by properly customizing the LPG apodization profile through a discrete inverse-scattering grating synthesis technique. This strategy leads to a significantly increased processing speed and a maximized energetic efficiency as compared with previous unapodized LPG-based optical differentiator designs. As an example, optimized first-, second-, and third-order optical differentiators are designed using apodized LPGs implemented in standard single-mode fiber (SMF). The designed passive devices are practically feasible and offer an unprecedented operation bandwidth of 12 THz, which is capable of accurately processing time features as short as ~100 fs, and an optimal energetic efficiency, which reaches a peak power spectral response of nearly 100% within their operation band.
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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 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 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