A First Order Space Charge Option for TRANSOPTR

Abstract

TRANSOPTR, a beam transport design code, incorporates autoriatic optimization of a beam transport system under general constraints. This optimization can be performed for either first order (with or without space charge effects) or second order calculations. Space charge effects are calculated in the x-y plane for continuous beams or in x-y-z space for bunched beams using a new approach. The method integrates a set of differential equations describing the evolution of the σ bean matrix along the main trajectory where the σ matrix represents the beam ellipsoid in phase space. A spatially uniform charge density approximation is used and emittance growth is assumed to be negligible. Changes in the optimumn beam transport conditions of a system caused by space charge effects can be readily evaluated with this code. Some applications of the code are given.