Title :
The principle of ultra-fast automatic cooling for beams
Author :
Shuyang, Gao ; Guangyu, Qian
Author_Institution :
China Inst. of Atomic Energy, Beijing, China
Abstract :
This paper is illustrates that the transverse emittance of a beam with constant energy can be automatically shrunk in a particular static magnetic field, which can be used as an ultra-fast “cooler” for accelerators or storage rings. The analytical solution for the nonlinear equation of motion is obtained. The exact proof of the problem is given by means of the precisely analytical representation of the Jacobian determinant corresponding to the nonlinear transformation of the emittance
Keywords :
beam handling techniques; particle beam diagnostics; Jacobian determinant; storage rings; transverse emittance; ultra-fast cooling; Cooling; Electron beams; Jacobian matrices; Magnetic analysis; Magnetic fields; Motion analysis; Nonlinear optics; Optical beams; Particle beams; Stochastic processes;
Conference_Titel :
Particle Accelerator Conference, 1993., Proceedings of the 1993
Conference_Location :
Washington, DC
Print_ISBN :
0-7803-1203-1
DOI :
10.1109/PAC.1993.309704
