A Compact 2-D Finite-Difference Frequency-Domain Method Combined With Implicitly Restarted Arnoldi Technique
Bibliographic record
Abstract
A compact 2-D finite-difference frequency-domain (FDFD) method is proposed to analyze the propagation characteristics of arbitrary guiding structures. Unlike other FDFD methods, which calculate the propagation constant for a given frequency, this method adopts the technique that is usually used in the compact 2-D finite-difference time-domain method, i.e., extracting the eigenfrequency based on an initial phase constant. Similar with other FDFD methods, this method will lead to a standard eigenvalue problem. However, the difference equations of this method are much simpler compared to the previous methods. When being combined with the implicitly restarted Arnoldi technique, this method can be used to simulate large-scale guided-wave problems due to the significantly increased speed of calculation and the greatly decreased memory requirement. Besides, by means of the concept of an equivalent resonator, the method can also be used to calculate the attenuation constant of arbitrary guiding structures.
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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 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 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".