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Abstracts Brochure - CERN

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WEOFI — Beam Dynamics and Electromagnetic . . . 28-Jun-06 11:30 - 12:30<br />

WEOFI — Beam Dynamics and Electromagnetic Fields<br />

Beam Dynamics Measurements in the Vicinity of a Half-integer Resonance<br />

The operating point of the betatron tune set<br />

near a half-integer is a crucial parameter to<br />

make high luminosity in electron/positron<br />

ring colliders. Dynamic beam-beam effects<br />

T. Ieiri, J.W. Flanagan, H. Fukuma, H. Ikeda, Y. Ohnishi, K. Oide,<br />

M. Tobiyama (KEK)<br />

would change the optics parameters of the colliders, depending on the betatron tune and the beam-beam parameter.<br />

On the other hand, existence of the half-integer stopband makes the beam unstable. Therefore, beam behavior near<br />

a half-integer might provide interesting issues from the viewpoint of beam dynamics. We measured a frequency<br />

response of the beam across a half-integer for measuring the betatron tune at KEKB. A sharp spike just at a halfinteger<br />

was observed in the tune spectrum. We believe that the spectrum would be a nonlinear resonance caused<br />

by some off-momentum particles in a bunch, not by a coherent motion of a whole bunch. The horizontal beam size<br />

measured using a synchrotron radiation monitor indicated a slight increase when the tune approached a half-integer.<br />

The variations in the beam size are discussed, considering both dynamic beam-beam effects and a beta beat due to<br />

the half-integer stopband.<br />

RF Phase Modulation Studies at the LNLS Electron Storage Ring<br />

In this work we present a set of measurements<br />

of the effectiveness of RF phase mod- N.P. Abreu, R.H.A. Farias, P.F. Tavares (LNLS)<br />

ulation on the second harmonic of the RF<br />

frequency as a mechanism to damp longitudinal coupled-bunch instabilities. We also propose a theoretical model<br />

of the damping mechanism, in which the increase of the spread in synchrotron frequencies inside the bunches produced<br />

by phase modulation is responsible for damping the centroid dipolar coherent motion caused by an external<br />

excitation, which could be a Higher Order Mode (HOM) of the RF cavities driving the coupled bunch motion. We<br />

measured the coherent synchrotron oscillation damping of a single bunch under two circumstances, with and without<br />

phase modulation, and determined the amount of extra damping due to the modulation. With this experiment we<br />

could also measure the frequency of small oscillations around the stable islands formed by phase modulation and<br />

its behavior when the RF phase modulation amplitude and frequency are changed. We performed measurements of<br />

Beam Transfer Function (BTF) to observe the effects of phase modulation over the stable area for coherent oscillations<br />

and compared the results with a theoretical model.<br />

Beam Dynamics Simulation in Electron Rings in the Regime of Strong RF Focusing<br />

The concept of strong RF focusing has been<br />

recently proposed to obtain locally short<br />

bunches in electron/positron colliders, by<br />

modulating the longitudinal bunch dimen-<br />

L. Falbo (INFN-Pisa) D. Alesini, M. Serio (INFN/LNF) M. Migliorati<br />

(Rome University La Sapienza)<br />

sions along the rings. To study the single bunch dynamics, a macroparticle numerical code has been written which<br />

simulates the effects of the objects generating broad band impedance along the ring and the effects of the coherent<br />

synchrotron radiation in dipoles and wigglers. The obtained results are shown and discussed.<br />

Chair: P. Emma (SLAC, Menlo Park, California) 271<br />

WEOFI01<br />

WEOFI02<br />

WEOFI03

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