Eugenio Schuster

On the Stability of the Linearized Kapchinskij-Vladimirskij Equations

C. Xu, E. Schuster, and C.K. Allen

Particle Accelerators Conference

Albuquerque, NM, USA, June 25-29, 2007

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.

Research Funding

Prof. Schuster's research work has been supported by the National Science Foundation (NSF) through the CAREER Award Program and the Basic Plasma Science Program, the U.S. Department of Energy (DOE), the Commonwealth of Pennsylvania, Department of Community and Economic Development, through the Pennsylvania Infrastructure Technology Alliance (PITA), the New York State Energy Research and Development Authority (NYSERDA), national laboratories and private companies.