SR Power Distribution along Wiggler Section of ILC DR
SR Power Distribution along Wiggler Section of ILC DR
复制标题
沿 ILC DR Wiggler 部分的 SR 功率分布
DOI:
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发表时间:
2010
期刊:
影响因子:
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通讯作者:
K. Zolotarev
中科院分区:
文献类型:
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作者:
O. Malyshev;M. Korostelev;N. Collomb;S. Postlethwaite;John M. Lucas;A. Wolski;K. Zolotarev
A long wiggler section is required in each ILC damping ring to provide short radiation damping times. Synchrotron radiation (SR) generated by the beam in the wigglers must be absorbed by different components of the vacuum vessel, including specially designed absorbers. The optimisation of the mechanical design, vacuum system and electron cloud mitigation requires accurate calculation of the SR power distribution. The angular power distribution from a single wiggler was calculated (with software developed in-house) based on the latest lattice design [1]. Then the superposition of SR from all wigglers allows calculation of the power distribution for all components along the wiggler section and the downstream straight section. INTRODUCTION The ILC positron damping ring (DR) in the DCO4 lattice design [1] contains a 374 m long wiggler section, consisting of 88 consecutive wiggler modules. The design of this section is driven by a number of different requirements, including beam dynamics, aperture, electron cloud mitigation, vacuum specification, SR power absorption and cost [2]. Nominally, the electron damping ring uses the same length of wiggler, although this could be reduced, because the beam from the electron source is smaller than that from the positron source, and therefore requires less damping. One of the requirements from electron cloud mitigation is that the photon flux on the vacuum chamber inside wigglers and quadrupoles must be kept to a minimum. The BPMs required in each module should also be screened from SR to reduce background noise. This means that a lumped SR absorber is required at the exit of each wiggler module. Design of the system for power absorption is made challenging by the fact that the SR power from the wiggler is emitted in a narrow angle, and the power density reaches values sufficient to destroy the material of the vacuum chamber. To optimise the engineering solution, the SR power density distribution on different parts of the vacuum chamber must be calculated. Generally, some iteration is required between the mechanical design and the calculation of the SR power density distribution, before the design is finalised. In this paper, we report the main steps and results of the design optimization procedure for the ILC DR wiggler section. CALCULATION OF SR POWER DISTRIBUTION The angular distribution of SR power density can be estimated with a formula obtained by integrating the power density spectrum [3]: 2 2 21 ( ), 16 T x z dP d P P f f d d d K K (1) Where ) ( ) ( ) ( ) ( 633 . 0 ) ( 2 2 A I m L T B GeV E kW P w T is the full power of SR emitted by a wiggler, E is the beam energy, Bw is the peak field in the wiggler, L is the wiggler length and I is the beam current. The functions fx and fz describe the horizontal and vertical distribution of the power density and can be written as: