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The information about the horizontal and vertical beta beat
at the position of the
th quadrupole caused by a strength perturbation
of the
th quadrupole is contained in the (2*174)x174 sensitivity matrix
:
which can be derived from the model. A Singular Value Decomposition (SVD) technique is then used to ``invert''
and determine the
as a function of the
. Feeding
into the ``beta function correctors'' restores the ideal optics within the error of the beta measurement if the quadrupoles are the only source of the optics perturbation.
Figure:
Measured average beta functions (
squares) at the location of 174 quadrupoles in comparison to the model of the unperturbed optics (solid lines)
|
Michael Boege
2002-06-19