A Fourier expansion solution to plane wave scattering from multiple isosceles right triangle grooves in perfect conducting plane
Bibliographic record
Abstract
In this paper, we present a series based solution of plane wave scattering from multiple Isosceles Right Triangle (IRT) grooves in perfect conducting plane. Scattered field in the upper half plane is expressed in a Fourier integral form. Fields in the IRT grooves are formulated as a summation of modal fields similar to the modal fields in IRT waveguide. A summation of a complete set of plane wave in the IRT groove is used to find a closed form of the fields in the IRT grooves. Matching the fields at the interface between the IRT grooves and the upper half plane provide a Fourier expansion summation form of the angular spectrum of the scattered field. The method is rigorous, robust, and provides an analytical form of the scattered field. Simulation results for far and near-fields will be shown for general oblique incident angle with various groove dimensions. Effects of the number of grooves on the scattered field are studied. The effect of ratio between the groove opening and the period between grooves is studied.
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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 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 0.001 |
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".