Title :
Orbit dynamics for unstable linear motion
Author_Institution :
Brookhaven Nat. Lab., Upton, NY, USA
Abstract :
A treatment is given of the orbit dynamics for linear unstable motion that allows for the zeros in the beta function and makes no assumptions about the realness of the betatron and phase functions. The phase shift per turn is shown to be related to the beta function and the number of zeros the beta function goes through per turn. The solutions of the equations of motion are found in terms of the beta function
Keywords :
particle beam dynamics; particle beam stability; beta function; betatron function; linear unstable motion; orbit dynamics; phase function; phase shift per turn; unstable linear motion; zeros; Eigenvalues and eigenfunctions; Integral equations; Laboratories; Lattices;
Conference_Titel :
Particle Accelerator Conference, 1997. Proceedings of the 1997
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-4376-X
DOI :
10.1109/PAC.1997.750713
