Title :
The envelopes of beam motion in the charged particle cyclic accelerator
Author :
Virchenko, Y.P. ; Grigor´ev, Y.N.
Author_Institution :
Single Crystal Inst., Kharkov
Abstract :
The method for calculation of the beam motion envelopes in the six-dimensional phase space of a charged particle moving in a cyclic accelerator is proposed. It is based on the invariance of the special quadratic form depending on the dynamic variables relatively to the shift along the particle trajectory. The envelopes are expressed as the explicit functions of the form coefficients
Keywords :
cyclic accelerators; particle accelerators; particle beam dynamics; 6D phase space; beam motion envelopes; charged particle cyclic accelerator; dynamic variables; form coefficients; invariance; particle trajectory shift; special quadratic form; Acceleration; Azimuth; Equations; Linear accelerators; Particle accelerators; Particle beams; Periodic structures; Physics; Space charge; Space technology;
Conference_Titel :
Particle Accelerator Conference, 1995., Proceedings of the 1995
Conference_Location :
Dallas, TX
Print_ISBN :
0-7803-2934-1
DOI :
10.1109/PAC.1995.505878
