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Orbital Period Measurement & Beam Dynamics Analysis in Accelerator Physics

Analyzing orbital period measurements and beam dynamics in an accelerator physics setting. Data fits as a parabolic curve with corrections. Study includes momentum-dependent tune calculations and COD effects on standard deviation. Detailed analysis of orbit, tune, and momentum dependencies. Comparison of phase information for longitudinal phase space reconstruction. Results show minimal effects of tune crossing and modest centroid oscillation amplitudes. Forthcoming journal submission.

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Orbital Period Measurement & Beam Dynamics Analysis in Accelerator Physics

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  1. Recent results Shinji Machida ASTeC/STFC/RAL 19 May 2011

  2. Orbital period (Time of Flight) measurement • Data fits nicely as a parabola curve • Empty circles are measurement, filled circles are after including correction of velocity.

  3. Orbit without acceleration • Each cell has one BPM between QD and QF. • 42 cells correspond to 1 turn. • Figures below show 10 turns results with 12.0 MeV/c equivalent momentum. horizontal vertical

  4. Orbit position vs momentum • Calculate average and standard deviation of orbit measurement in the previous page. • Standard deviation is mostly determined by COD as well as initial mismatch of orbit.

  5. Cell tune without acceleration • NAFF applied to consecutive 21 cells gives instantaneous cell tune over 10 turns. horizontal vertical

  6. Cell tune vs momentum • Cell tune at each equivalent momentum calculated with NAFF shows momentum dependent tune.

  7. Orbit and (hori) tune with acceleration • With rf, a beam is accelerated and horizontal orbit position and H and V cell tunes changes as a function of momentum. • Horizontal position (left) and horizontal tune (right).

  8. Serpentine channel acceleration (1) • By comparing phase information, longitudinal phase space can be reconstructed. Momentum determined by H orbit Momentum determined by H tune

  9. Serpentine channel acceleration (2) • By comparing phase information, longitudinal phase space can be reconstructed. Momentum determined by V tune

  10. Beam centre oscillations • No significant effects of tune crossing. • Centroid oscillation amplitude does not grow much.

  11. letter • Results will be submitted to a journal letter shortly.

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