A Directionally Dispersion-free Algorithm for the Calculation of Wake Potentials.
Technische Universität, Darmstadt
[Ph.D. Thesis], (2009)
Version der Dissertationsschrift im PDF Format -
Available under Creative Commons Attribution Non-commercial No Derivatives, 2.5.
Download (2MB) | Preview
|Item Type:||Ph.D. Thesis|
|Title:||A Directionally Dispersion-free Algorithm for the Calculation of Wake Potentials|
The numerical simulation of electromagnetic fields excited by moving charged particles is a particularly difficult problem. The frequency spectrum of the excited fields ranges up to the terahertz regime. In order to resolve the very short wavelengths, a fine computational grid is required. Consequently, a large number of time steps has to be performed, making the results sensitive to error accumulation. In this thesis an algorithm is presented which allows for the accurate simulation of high-frequency fields along dedicated directions. The Finite Integration Technique (FIT) is a discretization method for the computer simulation of electromagnetic fields. The propagation of waves in the discrete space shows directionally dependent dispersion properties and vanishing dispersion errors for certain directions. The presented algorithm exploits these directions in order to avoid the accumulation of errors in long-term simulations. The algorithm is developed followed by a theoretical analysis of its dispersion properties. Furthermore, it is verified in comparisons with analytical solutions. The implementation of the algorithm was applied to the simulation of electromagnetic fields excited in particle accelerator components. These are currently subject to optimization studies.
|Place of Publication:||Darmstadt|
|Uncontrolled Keywords:||FIT, Finite Integration Technique, CEM, Accelerator, Computational Electromagnetics, Wake Field, Wake Potential, Numerical Dispersion|
|Classification DDC:||500 Naturwissenschaften und Mathematik > 500 Naturwissenschaften
500 Naturwissenschaften und Mathematik > 530 Physik
|Divisions:||18 Department of Electrical Engineering and Information Technology > Institute for Computational Electromagnetics|
|Date Deposited:||01 Apr 2009 12:03|
|Last Modified:||07 Dec 2012 11:55|
|Referees:||Weiland, Prof. Dr.- Thomas and Klinkenbusch, Prof. Dr.- Ludger|
|Refereed:||31 October 2008|