Abstract
Coherent Synchrotron Radiation can severely limit the performance of accelerators designed for high brightness and short bunch length. Examples include light sources based on ERLs or FELs, and bunch compressors for linear colliders. In order to better simulate Coherent Synchrotron Radiation, the established 1-dimensional formalism is extended to work at lower energies, at shorter bunch lengths, and for an arbitrary configuration of multiple bends. Wide vacuum chambers are simulated by means of vertical image charges. This formalism has been implemented in the general beam dynamics code "Bmad" and its results are here compared to analytical approximations, to numerical solutions of the Maxwell equations, and to the simulation code "elegant".
Highlights
It is envisioned that future accelerators will call for shorter beams of higher intensity
A formalism for calculating the longitudinal kick due to coherent synchrotron radiation originally due to Saldin, Schneidmiller, and Yurkov has been implemented in Bmad along with a heuristic formula for the longitudinal space charge kick
The space charge kick is only significant at lower particle energies where the neglect of any transverse forces in the formalism may make simulations inaccurate
Summary
It is envisioned that future accelerators will call for shorter beams of higher intensity. Using a Green’s function method, he arrives at the power spectrum of a single charge bending in free space as well as between infinite conducting plates, and thereby computes the coherent power radiated by a collection of charges [1]. Warnock extends this work to include the longitudinal impedance on a bunched beam [2]. Many papers covering the history and importance of CSR forces can be found in [3]. The calculation starts with the CSR force between two charges traveling on the same curve, and integrates over a longitudinal bunch distribution to give a longitudinal wakefield. Transverse particle coordinates and transverse force components are neglected. The method here is implemented in the particle tracking code Bmad [7]. Our simulation results are compared with approximate analytic formulas as well as with two of the codes described by Bassi [8]—the simulation code ELEGANT and the code of Agoh and Yokoya
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