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• W2104493739 abstract "At DESY the existing PETRA II storage ring will be converted into a 3 generation synchrotron radiation source, called PETRA III. The total beam current is limited by coupled bunch instabilities which are mainly driven by the parasitic modes of the RF cavities. It is planned to use longitudinal and transverse feedback systems to achieve the design current of 100 mA. Eight single cell feedback cavities will be installed into the PETRA III ring to damp the coupled bunch longitudinal phase oscillations. It is important to know the contribution of the feedback cavity to the impedance budget of PETRA III. In this article, the wake and impedance computation results, using the loss and kick parameters, will be reported. The computer codes MAFIA and Microwave Studio have been used to compute the electromagnetic fields. INTRODUCTION PETRA III Beginning in mid 2007, the PETRA storage ring will be converted into a 3 generation light source, PETRA III [1]. The planned facility aims for a very high brilliance of about 10 photons /sec /0.1% BW /mm /mrad using a low emittance (1 nm rad) beam with an energy of 6 GeV and a total electron or positron design current of 100 mA. It is essential to use powerful feedback systems to prevent coupled bunch instabilities which are mainly driven by parasitic modes of the 500 MHz RF cavities. Eight single cell cavities will be installed to provide the required damping of 1/τ = 800 Hz. The cavity design has been adopted from the SLS [2] and DAFNE [3] overdamped feedback cavity designs. The cavities will be operated at a frequency of about 1375 MHz. The cavities are necessary to prevent longitudinal coupled bunch instabilities but are a potential source of higher order modes and wakefields which may cause beam instabilities. The impedance of the feedback cavities, investigated by numerical methods, are presented here. Wakefields and potentials The electromagnetic fields excited by a charged particle traversing any discontinuity in the beam pipe are called wakefields. The integrated effects of these fields over a ∗ ayan.bandyopadhyay@et.uni-magdeburg.de given path length of a trailing charge gives rise to longitudinal and transverse wake potentials [4, 5]. The wake potential of a point charge q1 is defined as: W(r, s) = 1 q1 ∫ [E(r, z, t) + c0ez ×B(r, z, t)]t= z+s c0 dz (1) where E and B are the electric and magnetic field excited by the charge q1 at the longitudinal position z = c0t, r is the radial offset of the charge q1 and the test charge, c0 is the velocity of light in vacuum, s denotes the distance between the exciting charge and the test charge in the bunch coordinate system and ez is the unit vector along the zdirection (Fig. 1). The wake potentialW (s) due to a charge distribution can be obtained as the convolution of the point charge wake potential with the line charge density. The loss parameter (k‖), kick parameter (k⊥) and the k(1) parameters are defined according to the equations: k‖ = ∫ ∞ −∞ λ(s)W‖(s)ds (2)" @default.
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• W2104493739 date "2007-01-01" @default.
• W2104493739 modified "2023-09-27" @default.
• W2104493739 title "COMPUTATION OF WAKEFIELDS AND IMPEDANCES FOR THE PETRA III LONGITUDINAL FEEDBACK CAVITY" @default.
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