Title :
The analytical treatment of resistive wake in round pipe
Author :
Ivanyan, M. ; Tsakanov, V.
Author_Institution :
Yerevan Phys. Inst., Armenia
Abstract :
An analytical form of longitudinal and transverse resistive wake potentials of point-like charge, moving parallel to the axe of round pipe with the walls of finite and frequency independent conductivity is obtained. The short range presentation of wake potentials by help of uniformly converged series is received. The series expansion for Gaussian bunch is obtained as well. The analytical form of resonant term of wake potential and simple integral form of the non-resonance one are given for case of frequency dependent conductivity
Keywords :
particle beam bunching; series (mathematics); wakefield accelerators; Gaussian bunch; analytical treatment; frequency dependent conductivity; integral form; longitudinal potentials; point-like charge; resistive wake; resonant term; round pipe; short range presentation; transverse potentials; uniformly converged series; Chaos; Conducting materials; Conductivity; Frequency dependence; H infinity control; Impedance; Performance analysis; Resonance; Solids; Testing;
Conference_Titel :
Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-7191-7
DOI :
10.1109/PAC.2001.988053
