Fourier-Bessel Analysis of Cylindrically Symmetric Dielectric Structures, Slot Channel Refractive Index Sensors
Bibliographic record
Abstract
Maxwell's wave equations can be solved using different techniques in order to extract optical properties of a variety of dielectric structures.For structures that contain an extended axis, for instance cylindrical symmetry, it is shown that an expansion of the fields and inverse of relative permittivity using a set of basis functions of Fourier-Bessel terms, provide access to an eigenvalue formulation from which the eigen-states can be computed.For cylindrically symmetric structures the computational technique provides a significantly reduced matrix order to be populated when compared to the plane wave method applied to these structures.The steps used to convert Maxwell's equation into an eigenvalue formulation are discussed and the technique is tested on various dielectric structures.Several novel refractive index sensors based on slot channel configuration are presented and the sensitivity of each structure is discussed.Using the Fourier-Bessel technique the eigenvalues are calculated and the slot channel field profiles are plotted based on the computed eigenvectors.
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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 | 0.000 |
| 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) | 0.001 | 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".