Scattering From Cylinders Near a Dielectric Half-Space Using a General Method of Images
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Bibliographic record
Abstract
The two-dimensional scattering of an arbitrary beam of radiation from multiple dielectric cylinders near a dielectric half-space is considered using a general method of images (GMI). The electromagnetic fields are broken down into cylindrical waves so that the boundary conditions for the cylinders can be applied directly. Two approaches for calculating the multiple scattering between the cylinders and the planar interface are compared: the plane-wave integral method and the Fourier series method. The plane-wave integral method involves numerically integrating a plane-wave spectrum for the reflection from the planar interface. The Fourier series method avoids numerical integration but poses problems for evanescent fields. By introducing evanescent field correction terms we are able to show the equivalence of the two methods.
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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 it