Continuous transverse excitation for measureing chromaticity from the head-tail phase difference: an analytic approximation with experimental data

Document #:

LARP-doc-547-v1

Document type:

Note

Submitted by:

Cheng-Yang Tan

Updated by:

Cheng-Yang Tan

Document Created:

25 Apr 2007, 10:11

Contents Revised:

25 Apr 2007, 10:11

Metadata Revised:

25 Apr 2007, 10:11

Abstract:

We will explore a method for measuring chromaticity by continuously kicking the beam transversely. This is called the continuous head-tail method for measuring chromaticity. The complete analytic approximation in terms of trigonometric functions is derived for zero transverse
emittance beam. A few examples are used to compare this solution with numerical ones and they are found to be nearly identical. A simple formula for calculating chromaticity from experimental data is also shown. Finally the theory is compared with experimental data.

Files in Document:

• headtail_24April2007.pdf (1.9 MB)

Topics:

• Instrumentation:Head-tail

Authors:

• Cheng-Yang Tan

Keywords:

head-tail headtail head tail analytic solution chromaticity

Notes and Changes:

Also appears as Fermilab Technical Memo TM-2376