A comparison of modeling methods for ring resonator circuits
Bibliographic record
Abstract
We have previously introduced a "compound ring resonator circuit," in which several ring resonator (RR) cavities are coupled in a loop, and analyzed the resulting configuration with the coupling of modes in space (CMS) technique. In this work we compare the accuracy, simplicity and calculation time of three standard procedures, namely the FDTD, and the methods of coupling of modes in time (CMT) and CMS in the context of a two-dimensional (2D) complex ring resonator circuit. This provides a far more effective benchmark of the relative advantages of the methods than the analysis of far simpler structures performed by other authors. As part of these calculations, we further discuss the relationship between the power loss coefficients in the CMS and the CMT models. We verify that the CMT yields accurate and rapid results for small coupling coefficients and losses even for large waveguide circuits containing multiple rings.
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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 | 0.001 | 0.000 |
| 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 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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".