Electromagnetic scattering from finite and infinite array of two-dimensional overfilled cavities in a conductive surface using a hybrid finite element surface integral equation method
Bibliographic record
Abstract
This work presents a hybrid finite element boundary integral algorithm to solve the problem of scattering from finite and infinite arrays of two-dimensional overfilled cavities engraved in a perfectly electric conducting flat screen. The solution region is divided into interior regions containing the cavities and their protruding portions, and the region exterior to the overfilled cavities. The finite element formulation is applied only inside the interior regions to derive a linear system of equations associated with field unknowns. Using two-boundary formulation, the surface integral equation employing the half-space Green's function is applied on the boundary located at the interface of protruding portions of the cavities and the half-space as a boundary constraint to truncate the solution region. Placing the truncation boundary on the protruding portions of the cavities results in highly efficient solution in terms of computational resources, which makes the algorithm well suited for the optimization problems involving scattering from grating surfaces. The near fields are generated for finite and infinite arrays of overfilled cavities with different dimensions.
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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 | 0.001 | 0.000 |
| 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 | 0.000 |
| 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".