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Development of Method for Measuring the Beta-functions in the MAX IV Laboratory 1.5 and 3 GeV Storage Rings

Olsson, David LU (2017) EITM01 20171
Department of Electrical and Information Technology
Abstract
In any storage ring or synchrotron based light source one of the most important factors for generating light with desirable properties is the electron beam itself. The dynamics of the beam must be properly characterised and, ideally, adjusted to the desired values for the light source to be able to deliver radiation of the quality which was decided during its design.

This thesis is limited to some of the linear beam dynamics of the MAX IV 1.5 GeV storage ring. Before any measurements on the dynamics can be done the position of the beam has to be accurately determined. This is done by modulating the strength of the quadrupoles. The effect the modulation will have on the beam is linear with respect to the beam displacement from the centre... (More)
In any storage ring or synchrotron based light source one of the most important factors for generating light with desirable properties is the electron beam itself. The dynamics of the beam must be properly characterised and, ideally, adjusted to the desired values for the light source to be able to deliver radiation of the quality which was decided during its design.

This thesis is limited to some of the linear beam dynamics of the MAX IV 1.5 GeV storage ring. Before any measurements on the dynamics can be done the position of the beam has to be accurately determined. This is done by modulating the strength of the quadrupoles. The effect the modulation will have on the beam is linear with respect to the beam displacement from the centre of the quadrupole. Using this technique it was possible to determine the beam position with a better reproducibility than assumed during the machine design.

The beta functions of the machine can be measured by fitting the model to measured data using an algorithm called LOCO. The magnet strengths which give a machine more similar to the nominal model are also obtained from the fit. These values can be used to correct manufacturing errors, electrical errors etc. The LOCO algorithm was able to properly characterise the storage ring, but due to a heating problem all corrections could not be done.

An independent measurement method is to measure the beta functions through the modulation of the quadrupoles and the resulting shift in betatron tune. The beta function values found using this technique had a large offset. The method needs further investigation before it can be used reliably. (Less)
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author
Olsson, David LU
supervisor
organization
course
EITM01 20171
year
type
H2 - Master's Degree (Two Years)
subject
keywords
MAX IV, accelerator physics, accelerator, synchrotron
report number
LU/LTH-EIT 2017-582
language
English
id
8916434
date added to LUP
2017-06-26 14:42:37
date last changed
2017-06-26 14:42:37
@misc{8916434,
  abstract     = {In any storage ring or synchrotron based light source one of the most important factors for generating light with desirable properties is the electron beam itself. The dynamics of the beam must be properly characterised and, ideally, adjusted to the desired values for the light source to be able to deliver radiation of the quality which was decided during its design.

This thesis is limited to some of the linear beam dynamics of the MAX IV 1.5 GeV storage ring. Before any measurements on the dynamics can be done the position of the beam has to be accurately determined. This is done by modulating the strength of the quadrupoles. The effect the modulation will have on the beam is linear with respect to the beam displacement from the centre of the quadrupole. Using this technique it was possible to determine the beam position with a better reproducibility than assumed during the machine design.

The beta functions of the machine can be measured by fitting the model to measured data using an algorithm called LOCO. The magnet strengths which give a machine more similar to the nominal model are also obtained from the fit. These values can be used to correct manufacturing errors, electrical errors etc. The LOCO algorithm was able to properly characterise the storage ring, but due to a heating problem all corrections could not be done.

An independent measurement method is to measure the beta functions through the modulation of the quadrupoles and the resulting shift in betatron tune. The beta function values found using this technique had a large offset. The method needs further investigation before it can be used reliably.},
  author       = {Olsson, David},
  keyword      = {MAX IV,accelerator physics,accelerator,synchrotron},
  language     = {eng},
  note         = {Student Paper},
  title        = {Development of Method for Measuring the Beta-functions in the MAX IV Laboratory 1.5 and 3 GeV Storage Rings},
  year         = {2017},
}