On replacing the line current approximation by surface currents in the Poynting vector method for the impedance of thin dipoles
Bibliographic record
Abstract
In the classic Poynting vector method for determining the impedance of a thin dipole, the current density on the surface of the circular cylindrical conductors of radius a /spl Lt//spl lambda/ is assumed to be a sinusoidal standing wave, vanishing at the ends of the dipole. To simplify the analysis the surface current is replaced by an "equivalent" filamentary line current flowing on the axis of the dipole. The electric field of this line current can be obtained in closed form, whereas much more difficult is the calculation of E due to the cylindrical current distribution. However, it is the dipole impedance that is of primary interest. In this paper we show that if the radius a is much less than the dipole's half-length l, then the retention of the surface current distribution in the Poynting vector method does not render the calculation of the dipole's impedance significantly more difficult.
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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 | 0.000 |
| 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".