The bunch-to-bunch evolution of the electron cloud density can be modeled using a cubic map. The map approach has been proved reliable for RHIC [1] and LHC [2]. The coefficients that parameterize the map may be obtained by fitting from time consuming numerical simulations. In this communication we derive a simple approximate formula for the linear coefficient in the electron cloud density map, along the lines laid in [3], in the presence of a dipole mag-netic field, and compare the result to numerical simula-tions, for the LHC.

A Formula for the Electron Cloud Map Coefficient in the Presence of a Magnetic Field

Petracca S.
2008

Abstract

The bunch-to-bunch evolution of the electron cloud density can be modeled using a cubic map. The map approach has been proved reliable for RHIC [1] and LHC [2]. The coefficients that parameterize the map may be obtained by fitting from time consuming numerical simulations. In this communication we derive a simple approximate formula for the linear coefficient in the electron cloud density map, along the lines laid in [3], in the presence of a dipole mag-netic field, and compare the result to numerical simula-tions, for the LHC.
978-92-9083-315-4
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12070/11418
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