Effect of the Permittivity of Isotropic Load on the Area of Phase Shifter Operation of a Circular Ferrite-Dielectric Waveguide with Azimuthal Magnetization: Analysis in Terms of the L<sub>3 ±</sub>Numbers
Bibliographic record
Abstract
A circular waveguide, entirely filled with a coaxially positioned azimuthally magnetized ferrite cylinder and a dielectric toroid, which sustains normal $TE_{01}$ mode, is considered. If $\varepsilon_{d}$ and $\varepsilon_{r}$ are the relative permittivities of the isotropic and anisotropic medium, resp., the impact of $\varepsilon_{d}$ on the width of the area in which the structure provides differential phase shift is studied, on condition that $\varepsilon_{d}\gt \varepsilon_{r}$ and $\varepsilon_{d}$ grows, while $\varepsilon_{r}$ is kept unchanged. The approach employs the characteristic equation of the configuration, derived previously by means of complex Kummer confluent hypergeometric and real ordinary Bessel and Neumann functions. In it the permittivities of the two strata participate through their ratio $\overline{\bar{\varepsilon}}=\varepsilon_{d}/\varepsilon_{r}$. That’s why it is chosen as a parameter in the investigation with a value, larger than 1 $(\overline{\bar{\varepsilon}}\gt 1)$, which increases, rather than $\varepsilon_{d}$ and $\varepsilon_{r}$. Using the definite purely imaginary roots of the equation mentioned in its independent variable, and certain new real positive numbers ($\overline{\bar{L}}_{3\pm}$ numbers), introduced by the authors earlier, the lower and upper cut-off frequencies of transmission line are computed. They allow to deduce the criterion, whose fulfillment guarantees its work as a phase shifter, and to reckon the width of the area in that this is observed. The dielectric region is assumed thin. Calculations are performed for several equidistant values of the off-diagonal ferrite Polder permeability tensor element, corresponding to strong anisotropy. The results are debated in detail.
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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) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.001 | 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".