Paper  Title  Page 

TPAT042  Progress on a Vlasov Treatment of Coherent Synchrotron Radiation from Arbitrary Planar Orbits  2699 


Funding: Support from DOE grants DEAC0276SF00515 and DEFG0299ER1104 is gratefully acknowledged.
We study the influence of coherent synchrotron radiation (CSR) on particle bunches traveling on arbitrary planar orbits between parallel conducting plates (shielding). The time evolution of the phase space distribution is determined by solving the VlasovMaxwell equations in the time domain. This provides lower numerical noise than the macroparticle method, and allows the study of emittance degradation and microbunching in bunch compressors. We calculate the fields excited by the bunch in the lab frame using a formula simpler than that based on retarded potentials.* We have developed an algorithm for solving the Vlasov equation in the beam frame using arc length as the independent variable and our method of local characteristics (discretized PerronFrobenius operator).We integrate in the interaction picture in the hope that we can adopt a fixed grid. The distribution function will be represented by Bsplines, in a scheme preserving positivity and normalization of the distribution. The transformation between lab and beam frame is carefully treated. Here we report on our implementation of the algorithm for a chicane bunch compressor with linear energy chirp and take steps to treat the nonlinear case.
*"Vlasov Treatment of Coherent Synchrotron Radiation from Arbitrary Planar Orbits" to be published in the Proceedings of ICAP04, St. Petersburg, R. Warnock, G. Bassi and J. A. Ellison. 