Properties of a transverse damping system, calculated by a simple matrix formalism
Bibliographic record
Abstract
In a synchrotron, proton beams with injection steering errors perform coherent betatron oscillations, possibly of large amplitude. The oscillations may be damped by using a system of a beam position monitor and a variable, fast kicker combined in a feedback loop to form a 'transverse damper'. The system of ring, beam and damper can be modeled by iteration of a matrix mapping once per turn. This paper reports the calculation of damping rates, and coherent tune shifts by analytic solution of the recursions. Two cases are treated: (i) kick proportional to beam displacement; and (ii) 'bang-bang' damping in which, above a certain threshold, the kick depends only on the sign (+/-) of the displacement. We demonstrate (under certain conditions) that the 'bang-bang' scheme provides a linear damping of the amplitude and no tune shift, and (for the same peak power) is faster than the conventional proportional damper which produces an exponential damping with time.
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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 | 0.001 | 0.003 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.006 | 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".