Analysis of a symmetric triplet and its application to ring insertions

Author

D´Amico, T. ; Guignard, G.

Author_Institution

CERN, Geneva, Switzerland

Volume

1

fYear

1997

fDate

12-16 May 1997

Firstpage

566

Abstract

It is interesting to study the matching capability of a triplet for a large range of parameters and to cover all the possible solutions. Fully analytical treatments can be used for this purpose, when working with the thin lens approximation. Closed solutions and the conditions in which they exist are described for the special case of triplets with a symmetric geometrical arrangement. They define all possible matchings, which correspond to the requests or limits on the Twiss parameters that are specified, and then define the range of values that are obtainable for the betatron functions. Numerical extension to thick lenses gives the complete solutions for the retained cases. Applications are presented on insertion and lattice problems, with emphasis on the design for a possible isochronous ring that is part of the injection chain of the CLIC drive beam

Keywords

accelerator magnets; particle optics; CLIC drive beam; Twiss parameters; betatron functions; injection chain; isochronous ring; lattice problems; ring insertions; symmetric geometrical arrangement; symmetric triplet; thick lenses; thin lens approximation; Large Hadron Collider; Lattices; Lenses; Mirrors; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Particle Accelerator Conference, 1997. Proceedings of the 1997

Conference_Location

Vancouver, BC

Print_ISBN

0-7803-4376-X

Type

conf

DOI

10.1109/PAC.1997.749766

Filename

749766