Accelerator Modeling with MATLAB Accelerator Toolbox

Abstract

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.

Double-double bend achromat cell upgrade at the Diamond Light Source: From design to commissioning

“…In this way, we can effectively survey the magnetic field map to the girder reference frame. The exact location of the magnetic field map is defined by computing numerically the trajectory of the electrons in the field map (with ACCELERATOR TOOLBOX [14]), making sure that the integrated field in the gradient dipole provides the nominal deflection angle and the nominal integrated quadrupole gradient. This process is done iteratively by adjusting the transverse offset of the dipole and recalculating the new trajectory until convergence is reached.…”

Tracking study for top-off safety validation at SSRL

“…Simulation in this study is performed within the framework of the accelerator modeling code Accelerator Toolbox (AT) [8]. A new routine was developed to track particles through a vertical magnetic field via numerical integration of the equation of motion.…”

Interactive Orbit Control in MATLAB

“…From the MATLAB command prompt, for instance, the operator could create a '.beta' field to plot betafunctions at each BPM. The data structures can also be used to develop new orbit control algorithms that utilize the MATLAB Accelerator Toolbox [4,5], utilize the graphical display options and/or connect to the on-line machine. The SYS structure contains high level control parameters for the orbit control system.…”

“…Depending on whether the program is in the simulate or on-line mode, the 'GET' and 'SET' commands communicate with the MATLAB Accelerator Toolbox (simulation) or with actual hardware via EPICS Channel Access (CA) (on-line). Details of the Accelerator Toolbox are described in [4,5]. For the online mode, MATLAB compatible CA routines have been compiled into a Channel Access toolbox (MCA) [8].…”

“…Overall, the pure-MATLAB re-write reduced programming effort, streamlined program modules and increased operational functionality. The new program is EPICS compatible, interfaces to an Accelerator Toolbox simulation package [4,5] and can be adapted to different machines. The program structure is modular, provides easy access to data structures (but not object-oriented!)…”