Temporal Autocorrelation Functions of PMD Variables in the Anisotropic Hinge Model
Bibliographic record
Abstract
We present analytic expressions for the temporal autocorrelation functions (ACF's) of the polarization mode dispersion (PMD) vector, the squared differential group delay (DGD) and the state of polarization (SOP) in the hinge model for stochastically varying hinges. We also derive the continuous limit of the temporal ACF of the squared DGD. Our studies demonstrate that for large time offsets, the ACF of the PMD vector approaches a constant value that depends principally on the DGD of the last fiber section but is also affected to a diminishing degree by the DGD of preceding fiber sections. We also show that sinusoidal perturbations of the hinge rotation angles do not significantly alter the results. The accuracy of the procedure is further established through comparison with numerical simulations.
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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) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| 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".