Title :
A general approach for calculating coupling impedances of small discontinuities
Author :
Kurennoy, Sergey S. ; Gluckstern, R.L. ; Stupakov, Gennady V.
Author_Institution :
Dept. of Phys., Maryland Univ., College Park, MD, USA
Abstract :
A general theory of the beam interaction with small discontinuities of the vacuum chamber is developed taking into account the reaction of radiated waves back on the discontinuity. The reactive impedance calculated earlier is reproduced as the first order, and the resistive one as the second order of a perturbation theory based on this general approach. The theory also gives, in a very natural way, the results for the trapped modes due to small discontinuities obtained earlier by a different method
Keywords :
electric impedance; particle accelerators; particle beam stability; perturbation theory; vacuum apparatus; beam interaction; coupling impedances; particle accelerators; perturbation theory; radiated waves reaction; reactive impedance; resistive impedance; small discontinuities; trapped modes; vacuum chamber; Educational institutions; Heating; Impedance; Magnetic analysis; Magnetic susceptibility; Optical coupling; Particle beams; Physical theory of diffraction; Physics; Polarization;
Conference_Titel :
Particle Accelerator Conference, 1995., Proceedings of the 1995
Conference_Location :
Dallas, TX
Print_ISBN :
0-7803-2934-1
DOI :
10.1109/PAC.1995.505887