Paper 
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THPMB036 
ModelDependent Accelerator Lattice Fit Based on BPM Data and Generating Functions 
3311 

 Yu. Maltseva, I.A. Morozov
BINP SB RAS, Novosibirsk, Russia



Obtaining accurate linear and nonlinear accelerator models is critical for routine accelerator operation. Here we consider a method based on BPM data and generating functions that provides fitted accelerator model. Using measurements from at least three BPMs and generating functions between them allows obtaining momenta at BPMs as the functions of model parameters and comparing them. Thus, lattice parameters can be fitted. Theoretical results are presented and the method is applied to the model examples.


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※ DOI:10.18429/JACoWIPAC2016THPMB036


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THPMR032 
Dynamical Aperture Control in Accelerator Lattices With Multipole Potentials 
3455 

 I.A. Morozov, E.B. Levichev
BINP SB RAS, Novosibirsk, Russia



We apply two analytical methods to control accelerator dynamic aperture (DA) with multipole potentials. Both methods assume that accelerator model can be represented as a product of unperturbed and perturbed exponential operators with exponent of perturbed operator given as formal power series in perturbation parameter and known dependence of series coefficients on lattice parameters such as multipole strength distribution. Normal form method can be applied to the above representation and then lattice parameters are used to control normal form Hamiltonian coefficients. Hamiltonian control can be used to compute control term and lattice parameters are then fitted to approximate corresponding controlled operator. Theoretical results as well as model examples are presented.


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※ DOI:10.18429/JACoWIPAC2016THPMR032


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