Accelerator Modeling with MATLAB Accelerator Toolbox

This paper introduces Accelerator Toolbox (AT) a collection of tools to model storage rings and beam transport lines in the MATLAB environment. The objective is to illustrate the flexibility and efficiency of the AT–MATLAB framework. The paper discusses three examples of problems that are analyzed frequently in connection with ring-based synchrotron light sources. 1 BACKGROUND AT is being developed to support the ongoing design and future operations of the SPERA3 light source [1]. Unlike most existing accelerator codes, AT is not a standalone program or a class library, but a MATLAB toolbox. The user accesses it from within MATLAB. AT is a collection of functions and scripts that: • Create and manipulate accelerator data structures in the MATLAB workspace (lattice tools) • Simulate particle motion through elements and sequences of elements (low-level physics tools) • Compute accelerator parameters and beam properties (high-level physics tools) This approach has a number of benefits for the end user and developer. • AT tools take advantage of a large library of math functions that are part of MATLAB or its toolboxes such as matrix algebra, FFT, optimization and control. • The users can add new physics tools to AT with minimum programming in MATLAB scripting language. • Results of all calculations are immediately available for further analysis and visualization using MATLAB graphics. A detailed introduction and tutorial on AT can be found in [2]. Current version 1.1 for Windows and Linux is available for download from [3]. 2 ACCELERATOR MODELING Examples in this section illustrate the use of several high-level physics functions recently added to AT. Scripts, that demonstrate the use of these functions and produce the plots in this paper, are included with AT distribution in the directory. 2.1 Linear Analysis of Coupled Lattices The formalism developed in [4] leads to a full-turn transfer matrix in the form: (1)