Electromagnetic transmission resonances for a single annular aperture in a metal plate
Bibliographic record
Abstract
We present a theory for the reflection phase and amplitude of the lowest-order TEM mode in an annular aperture at the end of a metal plate. This reflection coefficient determines the frequency and peak width of the Fabry-Perot transmission resonances. The theory assumes that the width of the aperture is subwavelength; however, the annular radius can be quite large, and we show that the theory reproduces the reflection of a linear slit in the limit of infinite radius. Finite-difference time-domain calculations agree well with the theory, in terms of both the transmission resonance frequency values and the extracted reflectivity. The theory presented shows that both the phase and amplitude of reflection can vary substantially with changes in geometry and frequency, and that both are modulated by transverse resonances. This work has implications for filters, near-field aperture probes, sensors, and metamaterials.
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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 | 0.000 | 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 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".