Adiabatic invariance for spatially dependent accelerating structures

Author

Cary, John R. ; Bruhwiler, David L.

Author_Institution

Dept. of Astrophys., Planetary & Atmos. Sci., Colorado Univ., Boulder, CO, USA

fYear

1991

fDate

6-9 May 1991

Firstpage

1648

Abstract

The adiabatic dynamics of charged particles in accelerating structures is significantly altered if these structures vary in space rather than in time. Spatial variation occurs in, for example, free-electron lasers and radio-frequency quadrupoles. The adiabatic invariants for slow temporal and slow spatial variations differ. This causes the longitudinal emittance of adiabatically trapped beams to differ in the two cases. The number of particles trapped in each accelerating bucket also differs. Analytic and numerical results are presented to clarify these ideas.<>

Keywords

particle beam diagnostics; accelerating bucket; adiabatic dynamics; adiabatic invariants; adiabatically trapped beams; charged particles; free-electron lasers; longitudinal emittance; radio-frequency quadrupoles; slow spatial variations; slow temporal variations; spatially dependent accelerating structures; Acceleration; Free electron lasers; Heating; Laser beams; Laser theory; Particle beams; Plasma accelerators; Plasma waves; Space charge; Tokamaks;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1991. Accelerator Science and Technology., Conference Record of the 1991 IEEE

Conference_Location

San Francisco, CA, USA

Print_ISBN

0-7803-0135-8

Type

conf

DOI

10.1109/PAC.1991.164732

Filename

164732