Title :
Linear orbit parameters for the exact equations of motion
Author_Institution :
Brookhaven Nat. Lab., Upton, NY, USA
Abstract :
This paper defines the beta function and other linear orbit parameters using the exact equations of motion. The β, α and ψ functions are redefined using the exact equations. Expressions are found for the transfer matrix and the emittance. The differential equations for η=x/β½ is found. New relationships between α, β, ψ and ν are derived
Keywords :
differential equations; particle beam dynamics; transfer function matrices; α function; β function; ψ function; differential equations; emittance; exact equations of motion; linear orbit parameters; transfer matrix; Differential equations; Eigenvalues and eigenfunctions; Laboratories; Linear accelerators; Magnets; Tracking;
Conference_Titel :
Particle Accelerator Conference, 1995., Proceedings of the 1995
Conference_Location :
Dallas, TX
Print_ISBN :
0-7803-2934-1
DOI :
10.1109/PAC.1995.505696
