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Method of template potentials to find space charge forces for high-current beam dynamics simulation

A technique for finding space charge forces of a high current beam propagating along a conducting chamber is presented. The technique is a generalization of the slice algorithm introduced previously. The upgraded algorithm accommodates more general beam bunch configurations with different charge density distributions. From tabulated template potentials with appropriate interpolation and scaling, the method allows fast and accurate computation of the space charge potentials for relatively arbitrary beam profiles. The method has also been applied to include the effect of a conducting boundary in the 2D rms-envelope equations.