Determination of lattice functions and 2nd-order transfer matrix for High Power Cyclotron

TL;DR

This paper presents the development of a simulation code for high power cyclotrons, focusing on lattice functions and second-order transfer matrices to improve beam dynamics understanding and cyclotron design.

Contribution

It introduces a new simulation code that incorporates lattice functions and second-order nonlinear Hamiltonian solutions for cyclotron beam dynamics.

Findings

Determined lattice functions for the cyclotron.

Revised solutions for the 2nd-order nonlinear Hamiltonian.

Developed a simulation code for cyclotron design.

Abstract

This paper describes the development of beam dynamic simulation code for cyclotron. Starting from a description of beam dynamics in the cyclotron, lattice functions were determined and the solutions for the 2nd-order nonlinear Hamiltonian were revised. Based on the description of beam dynamics in the cyclotron, simulation code was also developed for cyclotron design.