Formulation of reduced surface integral equations for the electromagnetic wave scattering from three‐dimensional layered dielectric bodies
Bibliographic record
Abstract
A reduction procedure is developed for an arbitrarily shaped layered dielectric body using for each interface a single unknown function to which the classical surface electric and magnetic currents are related by some surface operators. These operators and single functions are determined recursively from one interface to the next. This allows us to derive the field everywhere from the solution of a surface integral equation in only one vector function relative to only the interface between the layered body and the source region. Since the reduction operators are independent of the structure of the outside region and of the given field source, and also invariant under translation and rotation, the analysis of the three‐dimensional electromagnetic wave scattering and propagation for systems of multilayered or/and multiply nested dielectric bodies based on reduced single integral equations is substantially more efficient than that based on existing coupled integral equation formulations using electric and magnetic currents on all the interfaces, especially for configurations with identical such bodies arbitrarily located and oriented with respect to each other.
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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 | 0.001 | 0.001 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.003 | 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".