MATLAB BASED TPSA TOOLBOX FOR THE PARTICLE MAPPING THROUGH THREE-DIMENSIONAL MAGNETIC FIELDS
Peace Chang · 2004
Based on the MATLAB’s object-oriented programming, a truncated power series algebra (TPSA) toolbox has been developed. The TPSA toolbox as a differential algebra has been applied to realize the algorithm of particle mapping through three-dimensional magnetic field configurations. The capability of symbolic calculation by using this MATLAB-based TPSA toolbox can be used for the theoretical simulation and modelling in accelerator physics. Employing the TPSA toolbox in MATLAB environment, one can model a real accelerator or storage ring. In this paper, the method of symplectic mapping of three-dimensional magnetic fields is introduced and the structure of TPSA toolbox is presented. Applications of TPSA toolbox in the symplectic mapping of three-dimensional magnetic fields are demonstrated as well.