Title :
On the stability of the Kapchinskij-Vladimirskij equation
Author :
Xu, Chao ; Schuster, Eugenio ; Allen, Christopher K.
Author_Institution :
Lehigh Univ., Bethlehem
Abstract :
We discuss the stability of the linearized Kapchinskij-Vladimirskij (KV) equation around a matched solution, which is a linear periodic Hamiltonian system. By using the averaging method and asymptotic analysis, we find stability boundaries for the linearized beam envelope system without integrating the KV equation numerically.
Keywords :
eigenvalues and eigenfunctions; particle beam stability; asymptotic analysis; averaging method; beam envelope system; eigenvalues; linear periodic Hamiltonian system; linearized Kapchinskij-Vladimirskij; stability boundaries; Asymptotic stability; Chaos; Equations; Ion beams; Lattices; Linear systems; Magnetic fields; Particle beams; Stability analysis; Sufficient conditions;
Conference_Titel :
Particle Accelerator Conference, 2007. PAC. IEEE
Conference_Location :
Albuquerque, NM
Print_ISBN :
978-1-4244-0916-7
DOI :
10.1109/PAC.2007.4440481
