E-cloud Map Formalism: an Analytical Expression for Quadratic Coefficient

Details E-cloud Map Formalism: an Analytical Expression for Quadratic Coefficient E-cloud Map Formalism: an Analytical Expression for Quadratic Coefficient

2010-07-02

arxiv.org/abs/1007.0361v1

Physics

Accelerator Physics

3 pages, 5 figures. Proceedings of IPAC 2010 (ID 3566)

Scientific paper

The evolution of the electron density during electron cloud formation can be reproduced using a bunch-to-bunch iterative map formalism. The reliability of this formalism has been proved for RHIC [1] and LHC [2]. The linear coefficient has a good theoretical framework, while quadratic coefficient has been proved only by fitting the results of compute-intensive electron cloud simulations. In this communication we derive an analytic expression for the quadratic map coefficient. The comparison of the theoretical estimate with the simulations results shows a good agreement for a wide range of bunch population.

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