SINGLE PARTICLE DYNAMICS IN i , ; ‘ - . CIRCULAR ACCELERATORS

Single Particle Dynamics and Nonlinear Resonances in Circular Accelerators

Overview of single-particle nonlinear dynamics

We give an overview of the single-particle non linear dynamics in circular accelerators. The main topics are: integration of equations of motion, fast symplectic tracking, dynamic aperture definition, long-term methods, quality factors and lattice optimization. Special emphasis is put on ideas and tools developed during the last decade.

The Use of Mappings for Stability Problems in Beam Dynamics

A review of some stability problems in single-particle dynamics of circular accelerators when the nonlinearities are not negligible is given. The betatron motion is modelized through the discrete formalism of symplectic mappings. Some numerical tools are used to work out the resonance patterns and the relation with long-term stability. A complementary picture is obtained through the perturbativ...

Optics Modules for Circular Accelerator Design

This paper is intended as a companion paper to ‘Circular Machine Design Techniques and Tools’ presented at this conference by Roger Servranckx. The intent here is to provide a tutorial discussion on the basic optics of circular particle accelerators for the benefit of those readers who have a fundamental knowledge of charged particle optics but do not make it their profession to design particle...

Effective Parameters in Contact Mechanic for Micro/nano Particle Manipulation Based on Atomic Force Microscopy

The effect of geometry and material of the Micro/Nano particle on contact mechanic for manipulation was studied in this work based on atomic force microscopy. Hertz contact model simulation for EpH biological micro particle with spherical, cylindrical, and circular crowned roller shape was used to investigate the effect of geometry on contact simulation process in manipulation. Then, to val...