| Paper | Title | Other Keywords | Page | ||
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| TUPPP09 | Modeling High-Current Instabilities in Particle Accelerators | damping, simulation, radiation, storage-ring | 110 | ||
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Funding: This work has been partially supported by the EU commission in the sixth framework programme, contract no. 011935 EUROFEL |
Methods employing integration techniques of Lie algebraic nature have been successfully employed in the past to develop charged beam transport codes, for different types of accelerators. These methods have been so far applied to the transverse motion dynamics, while the longitudinal part has been treated using standard tracking codes. In this contribution we extend the simplectic technique to the analysis of longitudinal and coupled longitudinal and transverse motion in charged beam transport with the inclusion of the non linear dynamics due to the wake field effects. We use the method to model different types of instabilities due to high current. We consider in particular the case of coherent synchrotron instabilities and its implication in the design and performances of high current accelerators. We discuss either single pass and recirculated devices. As to this last case, we also include the effect due to quantum noise and damping. |
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| WEPPP04 | The FPP Documentation | site, resonance, lattice, linac | 191 | ||
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FPP is the FORTRAN90 library which overloads Berz’s “DA-package” and Forest’s “Lielib.” Furthermore it is also the library which implements a Taylor Polymorphic type. This library is essential to code PTC, the “Polymorphic Tracking Code.” Knowledge of the tools of FPP permits the computation of perturbative quantities in any code which uses FPP such as PTC/MAD-XP. We present here the available HTML documentation.
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| WEPPP21 | Efficient Time Integration for Beam Dynamics Simulations Based on the Moment Method | simulation, emittance, space-charge, multipole | 224 | ||
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Funding: This work was partially funded by EUROFEL (RIDS-011935) and DESY Hamburg. |
The moment method model has been proven to be a valuable tool for numerical simulations of a charged particle beam transport both in accelerator design studies and in optimization of the operating parameters for an already existing beam line. On the basis of the Vlasov equation which describes a collision-less kinetic approach, the time evolution of such integral quantities like the mean or rms dimensions, the mean or rms kinetic momenta, and the total energy or energy spread for a bunched beam can be described by a set of first order non-autonomous ordinary differential equations. Application of a proper time integrator to such a system of ordinary differential equations enables then to determine the time evolution of all involved ensemble parameter under consistent initial conditions. From the vast amount of available time integration methods different versions have to be implemented and evaluated to select a proper algorithm. The computational efficiency in terms of effort and accuracy serves as a selection criterion. Among possible candidates of suited time integrators for the given set of moment equations are the explicit Runge-Kutta methods, the implicit theta methods, and the linear implicit Rosenbrock methods. Various algorithms have been implemented and tested under real-world conditions. In the paper the evaluation process is documented. |
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