Phase retrieval from speckle patterns of ordering systems
Bibliographic record
Abstract
The time dependence of the Fourier transform phase of coherently scattered radiation from a system undergoing ordering is studied. Specifically, we derive a simple model that takes into account the known scaling laws for ordering dynamics to predict the statistical behavior of the Fourier transform phase. We consider a two-dimensional system of domains undergoing ordering for both the nonconserved and conserved order-parameter cases (models A and B, respectively). Predictions from our model are compared with numerical experiments, where a time-dependant Ginzburg-Landau equation is integrated to compute the dynamics of the real-space system; then a simple numerical (discrete) Fourier transform is applied to compute the Fourier phase as well as the amplitude (directly related to scattering intensity). An average phase-decorrelation time (the average time it takes for the phase to change by a specific amount) is obtained using both our theoretical model and the numerical results. This quantity is then used to implement a phase-retrieval strategy that consists of measuring scattering intensities of the same nonequilibrium system at different times and then applying an iterative phase-retrieval algorithm (like Fienup's hybrid input-output) recursively with improved initial estimates for faster convergence and higher convergence rates.
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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 | 0.000 | 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 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".