Abstract: 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.

Cite: Morozov I.A. , Levichev E.B.
Dynamic Aperture Control in Accelerator Lattices with Multipole Potentials
In compilation Proceedings, 7th International Particle Accelerator Conference (IPAC 2016) : Busan, Korea, May 8-13, 2016. – JACoW., 2016. – C.3455-3457. – ISBN 9783954501472. DOI: 10.18429/JACoW-IPAC2016-THPMR032

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