The computation of rough surface scattering from a finite interval of roughness
Bibliographic record
Abstract
The computation of scattering from a rough, pressure-release surface is a problem of much interest in many applications. In this paper, the exact numerical solution of scattering from a finite interval of roughness is considered. This interval is a portion of an otherwise flat surface that is infinite in extent. One numerical approach is to consider a truncated infinite integral equation. However, unless one is willing to use large computational intervals, perhaps far exceeding the extent of the roughness, the solution to the truncated problem may not approximate the infinite interval solution very well for some situations. In this paper, a system of equations is derived for a closed curve including the interval of roughness and a portion of the curve in the surrounding fluid. The system is solved using the method of wavefield superposition. The method is applicable to the case of both positive and negative deformations of the flat surface. As well, the method is easily extendable to the case that the roughness is part of an upper surface of a waveguide.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.001 | 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), 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".