Title :
Beam coupling impedances of axial symmetric structures
Author_Institution :
Tech. Univ. Berlin, Germany
Abstract :
The transverse and longitudinal coupling impedances of axial symmetric geometries with an arbitrary number of cross section jumps are calculated. Field matching with renormalized wave amplitudes is applied at planes z=zn. The resulting linear equations are solved straightforward, leading to good numerical stability. The Dirac-like pulses of the impedances below cut-off or of structures with trapped modes are avoided using a complex permittivity. Numerical results are presented for a sample detuned structure with more than 400 different radii
Keywords :
beam handling equipment; numerical analysis; particle beams; Dirac-like pulses; axial symmetric geometries; axial symmetric structures; beam coupling impedances; complex permittivity; cross section jumps; cut-off; field matching; linear equations; longitudinal coupling impedance; numerical results; numerical stability; renormalized wave amplitudes; sample detuned structure; transverse coupling impedance; trapped modes; Boundary conditions; Geometry; Impedance; Integral equations; Linear systems; Numerical stability; Optical coupling; Scattering; Testing; Transmission line matrix methods;
Conference_Titel :
Particle Accelerator Conference, 1993., Proceedings of the 1993
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-1203-1
DOI :
10.1109/PAC.1993.309840
