Title :
Longitudinal impedance of a smooth toroidal chamber at low and intermediate frequencies
Author :
Ng, King-yuenn ; Arnock, Robertw
Author_Institution :
Lawrence Berkeley Lab., CA, USA
Abstract :
The authors evaluate the longitudinal coupling impedance of a toroidal chamber with rectangular cross section in the frequency domain below the synchronous resonant modes. With infinite wall conductivity the impedance is purely reactive and consists of a space charge term, proportional to γ-2, and a curvature term which survives at large γ. The curvature term is well represented as a quadratic function of frequency. Consequences for beam stability, if any, arise from high-frequency resonances, which can produce values of several ohms for Z/n
Keywords :
particle beam diagnostics; beam stability; curvature term; high-frequency resonances; infinite wall conductivity; intermediate frequencies; longitudinal coupling impedance; low frequencies; rectangular cross section; smooth toroidal chamber; space charge term; Conductivity; Damping; Frequency domain analysis; Impedance; Laboratories; Linear accelerators; Resonance; Resonant frequency; Space charge; Stability;
Conference_Titel :
Particle Accelerator Conference, 1989. Accelerator Science and Technology., Proceedings of the 1989 IEEE
Conference_Location :
Chicago, IL
DOI :
10.1109/PAC.1989.73253
