Dynamical Aperture Control in Accelerator Lattices With Multipole Potentials

Authors

  • Ivan Morozov Budker Institute of Nuclear Physics SB RAS
  • Evgeny Levichev Budker Institute of Nuclear Physics SB RAS

DOI:

https://doi.org/10.23727/CERN-Proceedings-2017-001.195

Keywords:

Nonlinear dynamics, dynamic aperture, analytical methods, optimization.

Abstract

We develop tools for symbolic representation of a non-linear accelerator model and analytical methods for description of non-linear dynamics. Information relevant to the dynamic aperture (DA) is then obtained from this model and can be used for indirect DA control or as a complement to direct numerical optimization. We apply two analytical methods and use multipole magnets to satisfy derived analytical constraints. The accelerator model is represented as a product of unperturbed and perturbed exponential operators with the exponent of the perturbed operator given as a power series in the perturbation parameter. Normal forms can be applied to this representation and the lattice parameters are used to control the normal form Hamiltonian and normal form transformation. Hamiltonian control is used to compute a control term or controlled operator. Lattice parameters are then fitted to satisfy the imposed control constraints. Theoretical results, as well as illustrative examples, are presented.

Downloads

Published

2017-06-29

Issue

Section

Submission to the proceedings of CERN-BINP Workshop for young scientists in e+e- colliders