Title : 
Stability of trapped ions in electron storage rings in view of parametric resonance
         
        
        
            Author_Institution : 
SPring-8, Hyogo, Japan
         
        
        
        
        
        
            Abstract : 
Stability of the trapped ions in an electron storage ring was studied with a Hamiltonian formalism derived from the Mathieu equation, in which the nonlinear field of the electron beam and the Fourier component of the beam current were taken into account
         
        
            Keywords : 
electron accelerators; electron beams; particle beam stability; storage rings; Fourier component; Hamiltonian formalism; Mathieu equation; beam current; electron beam; electron storage rings; nonlinear field; parametric resonance; trapped ions stability; Electron beams; Electron traps; Fourier series; Gaussian distribution; Nonlinear equations; Pattern analysis; Radio frequency; Resonance; Stability analysis; Storage rings;
         
        
        
        
            Conference_Titel : 
Particle Accelerator Conference, 1995., Proceedings of the 1995
         
        
            Conference_Location : 
Dallas, TX
         
        
            Print_ISBN : 
0-7803-2934-1
         
        
        
            DOI : 
10.1109/PAC.1995.505880