How the coherent instabilities of an intense high energy charged particle beam in the presence of nonlocal effects can be explained within the context of the Madelung fluid description
Journal article, 2006

A hydrodynamical description of coherent instabilities that take place in the longitudinal dynamics of a charged-particle coasting beam in a high-energy accelerating machine is presented. This is done within the framework of the Madelung fluid picture provided by the Thermal Wave Model. The well known coherent instability charts in the complex plane of the longitudinal coupling impedance for monochromatic beams are recovered. The results are also interpreted in terms of the deterministic approach to modulational instability analysis usually given for monochromatic large amplitude wave propagation governed by the nonlinear Schrodinger equation. The instability analysis is then extended to a non-monochromatic coasting beam with a given thermal equilibrium distribution, thought of as a statistical ensemble of monochromatic incoherent coasting beams ("white" beam). In this hydrodynamical framework, the phenomenon of Landau damping is predicted without using any kinetic equation governing the phase space evolution of the system.

Author

R. Fedele

Universita degli Studi di Napoli Federico II

Dan Anderson

Chalmers, Department of Radio and Space Science, Non-Linear Electrodynamics

Mietek Lisak

Chalmers, Department of Radio and Space Science, Non-Linear Electrodynamics

European Physical Journal B

1434-6028 (ISSN) 1434-6036 (eISSN)

Vol. B49 3 275-

Subject Categories

Other Engineering and Technologies

DOI

10.1140/epjb/e2006-00067-3

More information

Latest update

4/11/2018