TY - GEN

T1 - Optimization method for orbit correction in accelerators

AU - Bozoki, Eva

AU - Friedman, Aharon

PY - 1993

Y1 - 1993

N2 - We present a method to minimize the corrector strengths required to reduce the rms beam orbit. Any least square correction method will usually lead to undesirably strong corrector settings. The method, we are presenting, minimizes the total kick vector by finding the eigen solutions of the equation X = Aθ, where X is the orbit change vector θ is the kick vector and A is the response matrix. Since A is not necessarily a symmetric or even square matrix we symmetrize the matrix by using AT A instead. Eigen vectors with corresponding small eigen values generate negligible orbit changes. Hence, in the optimization process the kick vector is made orthogonal to the eigen vectors. The physical interpretation of the eigenvectors will be discussed. We will illustrate the application of the method to the NSLS X-ray and UV storage rings. From this illustration it will be evident, that the accuracy of this method allows the combination of the global orbit correction and local optimization of the orbit for beamlines and insertion devices.

AB - We present a method to minimize the corrector strengths required to reduce the rms beam orbit. Any least square correction method will usually lead to undesirably strong corrector settings. The method, we are presenting, minimizes the total kick vector by finding the eigen solutions of the equation X = Aθ, where X is the orbit change vector θ is the kick vector and A is the response matrix. Since A is not necessarily a symmetric or even square matrix we symmetrize the matrix by using AT A instead. Eigen vectors with corresponding small eigen values generate negligible orbit changes. Hence, in the optimization process the kick vector is made orthogonal to the eigen vectors. The physical interpretation of the eigenvectors will be discussed. We will illustrate the application of the method to the NSLS X-ray and UV storage rings. From this illustration it will be evident, that the accuracy of this method allows the combination of the global orbit correction and local optimization of the orbit for beamlines and insertion devices.

UR - http://www.scopus.com/inward/record.url?scp=0027884701&partnerID=8YFLogxK

M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???

AN - SCOPUS:0027884701

SN - 0780312031

T3 - Proceedings of the IEEE Particle Accelerator Conference

SP - 105

EP - 107

BT - Proceedings of the IEEE Particle Accelerator Conference

T2 - Proceedings of the 15th Biennial Particle Accelerator Conference. Part 1 (of 5)

Y2 - 17 May 1993 through 20 May 1993

ER -