Semi-Analytical Modeling of Distributed Phase-Shifts Applied on Chirped Fiber Bragg Gratings
Bibliographic record
Abstract
Tunable notch filters with multiple transmission lines have been proposed and demonstrated by temporarily inducing phase-shifts in chirped fiber Bragg gratings through the application of stress or thermal perturbations. These filters find application in many fields including microwave photonics or optical communications. So far, study of this type of filter has been mostly experimental with occasional numerical modeling based on coupled-mode theory. This paper presents a theoretical analysis using the WKB approximation that highlightens the presence of resonators and quantitatively describes both the phase-shift accumulated in the propagation region and the reflection strength of the surrounding grating regions. The model provides an approximated function of the transmission peak amplitude that gives good insight into its dependence on the grating parameters and perturbation profile. This analysis predicts the filter bandwidth, tuning capability and minimum spectral separation between two transmission lines leading to straightforward design and optimization of the filter parameters.
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How this classification was reachedexpand
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) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 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) | 0.000 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".