Accelerator physics codes

A charged particle accelerator is a complex machine that takes elementary charged particles and accelerates them to very high energies. Accelerator physics is a field of physics encompassing all the aspects required to design and operate the equipment and to understand the resulting dynamics of the charged particles. There are software packages associated with each domain. The 1990 edition of the Los Alamos Accelerator Code Group's compendiumComputer Codes for Particle Accelerator Design and Analysis: A Compendium, Second Edition, Helen Stokes Deaven and Kwok Chi Dominic Chen, Los Alamos National Laboratory report number LA-UR-90-1766, 290 pages (1990). provides summaries of more than 200 codes. Certain codes are still in use today, although many are obsolete. Another index of existing and historical accelerator simulation codes is located at the CERN CARE/HHH website.the CERN CARE/HHH website

Single particle dynamics codes For many applications it is sufficient to track a single particle through the relevant electric and magnetic fields. Old codes no longer maintained by their original authors or home institutions include: BETA, AGS, ALIGN, COMFORT, DESIGN, DIMAD, HARMON, LEGO, LIAR, MAGIC, MARYLIE, PATRICIA, PETROS, RACETRACK, SYNCH,libtracy at sourceforge.net TRANSPORT, TURTLE, and UAL. Some legacy codes are maintained by commercial organizations for academic, industrial and medical accelerator facilities that continue to use those codes. TRACE 3-D and TURTLE are among the historic codes that are commercially maintained.AccelSoft Inc. website

Major maintained codes include:

Single Particle Dynamics Spin Tracking Taylor Maps Weak-Strong Beam-Beam Interaction Electromagnetic Field Tracking Higher Energy Collective Effects Synchrotron Radiation Effects Radiation Tracking Wakefields Extensible Notes Accelerator Toolbox (AT),ATcollab website See https://github.com/carmignani/festa ASTRAASTRA Homepage For space-charge simulations BDSIMBDSIM Homepage For particle-matter simulations. Bmad (contains PTC)Bmad home page Reproduces PTC's unique beam line structures. Simulates X-rays. COSY INFINITY Arbitrary-order differential-algebraic transfer maps DYNAC ElegantELEGANT, a Flexible SDDS Compliant Code for Accelerator Simulation software GPTGeneral Particle Tracer Injectors, UED, electron microscopes ImpactXIMPACTX, high-performance modeling of beam dynamics in particle accelerators with collective effects (via WarpX) (via WarpX) Multi-node GPU support MAD8 and MAD-X (includes PTC) MAD-NG Extensible, embeds LuaJIT MERLIN++ Other: beam-matter interactions, sliced-macroparticle tracking OCELOTOCELOT collaboration on GitHub OPAOPA website OPAL runs on laptops and on x 10k cores. PLACETPLACET manual LINAC including wakefields simulations. PropagaPropaga GitHub repository PTC SADSAD home page at kek.jp SAMMSAMM, another Matlab based tracking code, at liv.ac.uk SixTrack Can run on BOINC Xsuite Xsuite home page at cern.ch Supports multi CPU and GPU tracking ZgoubiZgoubi home page at sourceforge.netZgoubi Users' Guide

Columns

Spin Tracking Tracking of a particle's spin.

Taylor Maps Construction of Taylor series maps to high order that can be used for simulating particle motion and also can be used for such things as extracting single particle resonance strengths.

Weak-Strong Beam-Beam Interaction Can simulate the beam-beam interaction with the simplification that one beam is essentially fixed in size. See below for a list of strong-strong interaction codes.

Electromagnetic Field Tracking Can track (ray trace) a particle through arbitrary electromagnetic fields.

Higher Energy Collective effects The interactions between the particles in the beam can have important effects on the behavior, control and dynamics. Collective effects take different forms from Intrabeam Scattering (IBS) which is a direct particle-particle interaction to wakefields which are mediated by the vacuum chamber wall of the machine the particles are traveling in. In general, the effect of direct particle-particle interactions is less with higher energy particle beams. At very low energies, space charge has a large effect on a particle beam and thus becomes hard to calculate. See below for a list of programs that can handle low energy space charge forces.

Synchrotron radiation effects Can simulate the effect of synchrotron radiation emission on the particles being tracked.

Radiation Tracking Ability to track the synchrotron radiation (mainly X-rays) produced by the acceleration of charged particles. This is not the same as simulating the effect of synchrotron radiation emission on the particles being tracked.

Wakefields The electro-magnetic interaction between the beam and the vacuum chamber wall enclosing the beam are known as wakefields. Wakefields produce forces that affect the trajectory of the particles of the beam and can potentially destabilize the trajectories.

Extensible Open source and object oriented coding to make it relatively easy to extend the capabilities.

Space charge codes The self interaction (e.g. space charge) of the charged particle beam can cause growth of the beam, such as with bunch lengthening, or intrabeam scattering. Additionally, space charge effects may cause instabilities and associated beam loss. Typically, at relatively low energies (roughly for energies where the relativistic gamma factor is less than 10 or so), the Poisson equation is solved at intervals during the tracking using particle-in-cell algorithms. Space charge effects lessen at higher energies so at higher energies the space charge effects may be modeled using simpler algorithms that are computationally much faster than the algorithms used at lower energies. Codes that handle low energy space charge effects include: ASTRA Bmad CST Studio SuitePIC solver at cst.com GPTGeneral Particle Tracer (GPT) from Pulsar Physics IMPACT ImpactXImpactX: high-performance modeling of beam dynamics in particle accelerators with collective effects from Berkeley Lab mbtrackTHE MULTIPARTICLE TRACKING CODES SBTRACK AND MBTRACK. R. Nagaoka, PAC '09 paper here ORBIT,ORBIT home page at ornl.gov PyORBITPyORBIT Collaboration OPALOPAL homepage PyHEADTAILPyHEADTAIL wiki SynergiaSynergia home page at fnal.gov TraceWinTraceWin at CEA Saclay TranftTRANFT user's manual, BNL--77074-2006-IR http://www.osti.gov/scitech/biblio/896444 VSimVSim at Tech-X WarpWarp wiki Xsuite

At higher energies, space charge effects include Touschek effect and coherent synchrotron radiation (CSR). Codes that handle higher energy space charge include: Bmad ELEGANT ImpactX MaryLie SAD

"Strong-strong" beam-beam effects codes When two beams collide, the electromagnetic field of one beam will then have strong effects on the other one, called beam-beam effects. So called "weak-strong" simulations model one beam (called the "strong" beam since it affects the other beam) as a fixed distribution (typically a Gaussian distribution) which interacts with the particles of the other "weak" beam. This greatly simplifies the simulation. A full "strong-strong" simulation is more complicated and takes more simulation time. Strong-strong codes include GUINEA-PIG BeamBeam3D Xsuite WarpX

Impedance computation codes An important class of collective effects may be summarized in terms of the beams response to an "impedance". An important job is thus the computation of this impedance for the machine. Codes for this computation include ABCIABCI home page at kek.jp ACE3P CST Studio SuiteCST , Computer Simulation Technology at cst.com GdfidLGdfidL, Gitter drueber, fertig ist die Laube at gdfidl.de TBCIT. Weiland, DESY VSim

Magnet and other hardware-modeling codes To control the charged particle beam, appropriate electric and magnetic fields must be created. There are software packages to help in the design and understanding of the magnets, RF cavities, and other elements that create these fields. Codes include ACE3P COMSOL MultiphysicsCOMSOL home page at comsol.com CST Studio Suite OPERA VSim

Lattice description and data interchange issues Given the variety of modeling tasks, there is not one common data format that has developed. For describing the layout of an accelerator and the corresponding elements, one uses a so-called "lattice file". There have been numerous attempts at unifying the lattice file formats used in different codes. One unification attempt is the Accelerator Markup Language, and the Universal Accelerator Parser.Description of AML and UAP at cornell.edu Another attempt at a unified approach to accelerator codes is the UAL or Universal Accelerator Library.See references by N. Malitsky and Talman such as this manual from 2002. As of 2023 neither of these formats are maintained.

The file formats used in MAD may be the most common, with translation routines available to convert to an input form needed for a different code. Associated with the Elegant code is a data format called SDDS, with an associated suite of tools. If one uses a Matlab-based code, such as Accelerator Toolbox, one has available all the tools within Matlab.

For the interchange of particle positions and electromagnetic fields, the OpenPMDOpenPMD GitHub repository. standard defines a format which can then be implemented with a file format like HDF5.

Codes in applications of particle accelerators There are many applications of particle accelerators. For example, two important applications are elementary particle physics and synchrotron radiation production. When performing a modeling task for any accelerator operation, the results of charged particle beam dynamics simulations must feed into the associated application. Thus, for a full simulation, one must include the codes in associated applications. For particle physics, the simulation may be continued in a detector with a code such as Geant4.

For a synchrotron radiation facility, for example, the electron beam produces an x-ray beam that then travels down a beamline before reaching the experiment. Thus, the electron beam modeling software must interface with the x-ray optics modelling software such as SRW,SRW home page at esrf.eu Shadow,Shadow home page at esrf.eu McXTrace,McXTrace home page at mcxtrace.org or Spectra. Bmad can model both X-rays and charged particle beams. The x-rays are used in an experiment which may be modeled and analyzed with various software, such as the DAWN science platform.DAWN science platform website OCELOT also includes both synchrotron radiation calculation and x-ray propagation models.

Industrial and medical accelerators represent another area of important applications. A 2013 survey estimated that there were about 27,000 industrial accelerators and another 14,000 medical accelerators worldwide,R. W. Hamm and M. E. Hamm, Industrial Accelerators and those numbers have continued to increase since that time.session on accelerator business opportunities at IPAC-17 Codes used at those facilities vary considerably and often include a mix of traditional codes and custom codes developed for specific applications. The Advanced Orbit Code (AOC)AOC, A Beam Dynamics Code for Medical and Industrial Accelerators developed at Ion Beam Applications is an example.

Accelerator physics codes

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