Search for integrable 4-D accelerator mappings

Document #:

Beams-doc-3374-v5

Document type:

Note

Submitted by:

Sergei Nagaitsev

Updated by:

Sergei Nagaitsev

Document Created:

24 Apr 2009, 11:11

Contents Revised:

30 Oct 2009, 10:49

DB Info Revised:

30 Oct 2009, 10:49

Abstract:

We model an accelerator lattice by a mapping consisting of a 4x4 symplectic matrix followed by a thin non-linear lens of special properties. Our goal is to find such non-linear lenses that can eliminate chaotic trajectories in a large volume of the beam phase-space while also having large betatron tune spreads. In this report we present several attempts (so far of limited success) to find such lattices.

Files in Document:

• PDF file (Search for integrable mappings.pdf, 162.3 kB)

Topics:

• Beam Physics:Transverse Dynamics

Authors:

• Sergei Nagaitsev

Keywords:

beam_dynamics