Eigenfunctions of the transfer matrix in the presence of linear coupling

Author

Parzen, G.

Author_Institution

Brookhaven Nat. Lab., Upton, NY, USA

fYear

1993

fDate

17-20 May 1993

Firstpage

486

Abstract

This paper presents an approach to computing the change in the linear orbit parameters, due to a perturbing field that couples the x and y motions, by computing the change in the eigenfunctions of the transfer matrix and then using the relationship between the eigenfunctions and the orbit parameters. This can be compared with the approach that computes the change in the transfer matrix and uses the relationship between the elements of the transfer matrix and the orbit parameters. For the case of coupled motion, the eigenfunction approach appears to be easier to apply than the transfer matrix approach, partly because the relationship between the transfer matrix and the linear orbit parameters is considerably more complicated in this case. Results are found for the change in the four eigenfunctions of the transfer matrix in the presence of linear coupling, and for the relationship between the eigenfunctions and the orbit parameters

Keywords

eigenvalues and eigenfunctions; particle beam diagnostics; eigenfunctions; linear coupling; linear orbit parameters; perturbing field; transfer matrix; Ear; Eigenvalues and eigenfunctions; Equations; Laboratories; Solenoids; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1993., Proceedings of the 1993

Conference_Location

Washington, DC

Print_ISBN

0-7803-1203-1

Type

conf

DOI

10.1109/PAC.1993.308873

Filename

308873