Modulational instabilities within the thermal wave model description of high energy charged particle beam dynamics

1999 ◽  
Vol 258 (4-6) ◽  
pp. 244-248 ◽  
Author(s):  
D Anderson ◽  
R Fedele ◽  
V Vaccaro ◽  
M Lisak ◽  
A Berntson ◽  
...  
Keyword(s):  
Charged Particle ◽  
Thermal Wave ◽  
Wave Model ◽  
Particle Beam ◽  
High Energy ◽  
Beam Dynamics ◽  
Model Description ◽  
Charged Particle Beam ◽  
Modulational Instabilities

Analysis and Modeling of the Charged Particle Beam Dynamics in the Charlton Trap

2018 ◽  
Vol 15 (7) ◽  
pp. 754-757
Author(s):  
A. D. Ovsyannikov ◽  
I. N. Meshkov ◽  
D. A. Ovsyannikov ◽  
M. K. Eseev
Keyword(s):  
Charged Particle ◽  
Particle Beam ◽  
Beam Dynamics ◽  
Charged Particle Beam

MESOSCOPIC DESCRIPTION OF DYNAMICAL SYSTEMS: HIERARCHY OF RECURSIVE EQUATIONS FOR THE MOMENTS OF THE DENSITY DISTRIBUTION WITH AN APPLICATION TO CHARGED PARTICLE BEAM DYNAMICS

2004 ◽  
Vol 18 (04n05) ◽  
pp. 655-665
Author(s):  
SALVATORE DE MARTINO ◽  
SILVIO DE SIENA ◽  
RENATO FEDELE ◽  
STEPHAN TZENOV
Keyword(s):  
Charged Particle ◽  
Density Distribution ◽  
Particle Beam ◽  
High Order ◽  
Beam Dynamics ◽  
Charged Particle Beam ◽  
Recursion Relations ◽  
Control Stability ◽  
The One ◽  
Recursive Equations

The quantumlike formalism in the form of Madelung fluid has been applied to describe the collective dynamics of a mesoscopic aggregate of particles in a potential field. The scheme has been specialized to the one-degree-of-freedom dynamics of a charged particle beam in an accelerator in the presence of high-order multipole nonlinearities. A hierarchy of recursive equations satisfied by the moments of the density distribution has been obtained. It has been shown that the recursion relations can be in principle solved if a finite number of the first several moments is known. Beam dynamics in the presence of octupole and decapole nonlinearities has been studied as an example, demonstrating the above scheme. It has been shown that an appropriate mechanism can be introduced to control stability and coherence of states when high-order nonlinearities have to be taken into account.

Sign in / Sign up

Export Citation Format

Share Document