pytori

P. Belanger

A Python package for the transport of loops and tori in accelerator beam-lines.

Overview

pytori is designed to describe, track and visualize the deformation of 6-dimensional tori for phase-space studies in beam dynamics.

It can be used for applications in beam optics, linear dynamics, non-linear dynamics and Normal Form analysis. Most classes of the project can be used either in a numerical framework (i.e., based on numpy) or a symbolic framework (i.e., based on sympy).

More detailed theoretical background and derivations are available in P. Belanger’s Ph.D. thesis.

Features

• Support for both numerical (numpy) and symbolic (sympy) workflows
• Representation of loops and tori in 6D phase-space
• Tracking of deformations along accelerator beam lines
• Integration with beam optics / normal-form analysis

Installation

pip install pytori

Usage

Examples will be added shortly.

Basic Torus