Abstract

A new method that explores turn-by-turn beam position monitor (BPM) data to calibrate lattice models of accelerators is proposed. The turn-by-turn phase space coordinates at one location of the ring are first established using data from two BPMs separated by a simple section with a known transfer matrix, such as a drift space. The phase space coordinates are then tracked with the model to predict positions at other BPMs, which can be compared to measurements. The model is adjusted to minimize the difference between the measured and predicted orbit data. BPM gains and rolls are included as fitting variables. This technique can be applied to either the entire or a section of the ring. We have tested the method experimentally on a part of the SPEAR3 ring.

Highlights

  • Lattice calibration is of crucial importance in the performance of storage rings and synchrotrons

  • In the present paper we use turn-by-turn beam position monitor (BPM) data directly to fit the lattice model without the intermediate steps of deriving beta functions and phase advances. In our view this is the natural approach for lattice calibration with turn-by-turn data because there is no loss of information in this process

  • In the following we describe a method to calibrate lattice models with turn-by-turn BPM data

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Summary

INTRODUCTION

Lattice calibration is of crucial importance in the performance of storage rings and synchrotrons. In the present paper we use turn-by-turn BPM data directly to fit the lattice model without the intermediate steps of deriving beta functions and phase advances. In our view this is the natural approach for lattice calibration with turn-by-turn data because there is no loss of information in this process. The intermediate parameters, such as the beta functions, themselves are not observables.

MEASUREMENT OF PHASE SPACE VARIABLES AND TRANSFER MATRICES
C A 0 I I 0 B Cþ
LATTICE CALIBRATION WITH TURN-BY-TURN BPM DATA
The one-quadrupole case
Application to a general transport line
Application to a synchrotron or storage ring
EXPERIMENTS ON THE SPEAR3 STORAGE RING
Design
SIMULATION WITH A STORAGE RING
Findings
CONCLUSION
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