Impedances of anisotropic round and rectangular chambers

We consider the calculation of electromagnetic fields generated by a point charge passing through an anisotropic vacuum chamber of round or rectangular cross section with translational symmetry in the beam direction. The anisotropy causes a frequency shift and can have a significant effect on modal...

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Bibliographic Details
Main Author: Igor Zagorodnov
Format: Article
Language:English
Published: American Physical Society 2018-06-01
Series:Physical Review Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevAccelBeams.21.064601
Description
Summary:We consider the calculation of electromagnetic fields generated by a point charge passing through an anisotropic vacuum chamber of round or rectangular cross section with translational symmetry in the beam direction. The anisotropy causes a frequency shift and can have a significant effect on modal coupling. It must be accounted for in the design and analysis of accelerating structures. In this paper, field matching and finite-difference techniques for the anisotropic waveguides are developed. Additionally a method that mixes the field matching and the finite-differences is described. The numerical algorithms are implemented in a computer code and cross-checked on several examples. The impact of the anisotropy along different coordinate axes on the resonance frequency shifts is computed and analyzed.
ISSN:2469-9888