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Abstracts Brochure - CERN

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MOPLS136<br />

MOPLS137<br />

MOPLS138<br />

26-Jun-06 16:00 - 18:00 MOPLS — Poster Session<br />

emittances and the dynamic aperture back to the ideal value. The correction using dipolar correctors and several<br />

skew quadrupole correctors allows a minimization of the closed-orbit distortion, the cross-talk between vertical and<br />

horizontal closed orbits, the residual vertical dispersion and the betatron coupling.<br />

Ion Effects in the Damping Rings of ILC and CLIC<br />

We discuss ion trapping, rise time of the fast<br />

F. Zimmermann, W. Bruns, D. Schulte (<strong>CERN</strong>)<br />

beam-ion instability, and ion-induced incoherent<br />

tune shift for various incarnations of<br />

the ILC damping rings and for CLIC, taking into account the different regions of each ring. Analytical calculations<br />

for ion trapping are compared with results from a new simulation code.<br />

Tracking Studies to Determine the Required Wiggler Aperture for the ILC Damping Rings<br />

The injection efficiency of an ILC damping<br />

I. Reichel, A. Wolski (LBNL)<br />

ring is closely tied to its acceptance. To maximize<br />

both, one wants a physical aperture as<br />

large as possible in the wiggler magnets, as these are the limiting physical apertures in the ring. On the other hand,<br />

a small aperture in the wiggler magnets is needed to achieve the required field profile, a high magnetic field that is<br />

very linear over the whole physical aperture of the magnet. Tracking studies were done for all proposed ILC damping<br />

ring lattices to determine their required apertures. Although a half-aperture of 8 or 10 mm had been proposed, our<br />

studies showed that, for most lattices, a 16 mm half-aperture is required. (For some lattices a 12 mm half aperture<br />

might suffice.) We present here the results of our studies, which led to adopting a 16 mm half-aperture in the current<br />

ILC damping ring baseline design.<br />

Space Charge and Equilibrium Emittances in Damping Rings<br />

The unusual combination of small beam size<br />

M. Venturini, A. Wolski (LBNL)<br />

and long ring circumference may cause space<br />

charge to have noticeable effects on the beam<br />

dynamics of the ILC (International Linear Collider) damping rings. One possible consequence is a modification of the<br />

vertical equilibrium emittance resulting from a non-ideal lattice. One simple way to account for this effect is to model<br />

space charge in the linear approximation within the framework of Oide’s envelope (or Chao’s matrix) formalism,<br />

whis is commonly used to calculate equilibrium emittances in lepton storage rings. However, this model would likely<br />

overestimate the effect as a linear approximation for space charge is accurate only in a small neighborhood of a bunch<br />

center. For a more accurate modelling, we propose to make use of Sacherer’s envelope equations consisting of a<br />

closed set of equations for the second moments of a beam distribution that account for the nonlinear dependence of<br />

the space-charge force. Here we will illustrate how Sacherer’s equations can be combined with Oide’s formalism and<br />

apply the result to the ILC damping rings.<br />

146

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