Title : 
Investigation of the beam impedance of a slowly varying waveguide
         
        
            Author : 
Jones, R.M. ; Heifets, S.A.
         
        
            Author_Institution : 
Linear Accel. Center, Stanford Univ., CA, USA
         
        
        
        
        
            Abstract : 
A perturbation method is used to obtain analytic expressions for the multipole longitudinal and transverse beam impedance for an arbitrary waveguide whose radius is slowly varying and for the specific case of a symmetric small-angle taper. This method is also applicable for a particle in a wiggler undergoing periodic motion
         
        
            Keywords : 
accelerator cavities; beam handling equipment; particle beam dynamics; beam impedance; longitudinal beam impedance; periodic motion; perturbation method; slowly varying waveguide; symmetric small-angle taper; transverse beam impedance; wiggler; Boundary conditions; Corona; Degradation; Frequency; Impedance; Linear accelerators; Partial differential equations; Particle beams; Perturbation methods; Undulators;
         
        
        
        
            Conference_Titel : 
Particle Accelerator Conference, 1995., Proceedings of the 1995
         
        
            Print_ISBN : 
0-7803-2934-1
         
        
        
            DOI : 
10.1109/PAC.1995.505539