Dynamic Aperture Improvement of PEP-II Lattices Using Resonance Basis Lie Generators

Abstract

To simplify the engineering efforts of implementing the PEP-II lattices, many modifications have been made to these lattices since the conceptual design report [1]. During the development and evolution of the lattices, changes in a lattice would often result in a significant reduction in the dynamic aperture. At such times, we often relied on a non-linear analysis using the one-turn resonance basis Lie generator to identify the cause of the degradation. In this paper, we will present such examples to facilitate the usage of map for diagnosing the problems in lattice design.

Advanced Methods for the Computation of Particle Beam Transport and the Computation of Electromagnetic Fields and Multiparticle Phenomena

“…Particle Accelerator Schools. Finally, map and Lie methods have been used and developed extensively at SLAC for the design and operation of the SLC, the FFTB Facility, and the PEP II Bfactory, and for the design of the ILC [10][11][12][13]. They also played a key role in dynamic aperture and long-term tracking studies for the LHC [14,15].…”