학술논문

A magnetic field model for wigglers and undulators
Document Type
Conference
Source
Proceedings of the 2003 Particle Accelerator Conference Particle accelerator conference Particle Accelerator Conference, 2003. PAC 2003. Proceedings of the. 2:1023-1025 Vol.2 2003
Subject
Fields, Waves and Electromagnetics
Engineered Materials, Dielectrics and Plasmas
Nuclear Engineering
Robotics and Control Systems
Undulators
Magnetic fields
Magnetic field measurement
Storage rings
Magnetic analysis
Superconducting magnets
Fourier transforms
Apertures
Maxwell equations
Nonlinear distortion
Language
ISSN
1063-3928
Abstract
Recent interest in applications of wiggler magnets in storage rings has motivated efforts to incorporate their effects in calculations of beam dynamics. This paper presents an analytic model of wiggler fields that can be used with symplectic integration to evaluate such effects. Coefficients needed by the model are generated by fitting to the results of a finite-element field calculation. The model has been used successfully in the CESR-c project, which imposes tolerances of a few parts in 10/sup 4/ on the modeling of 2-Tesla superconducting wigglers. In contrast to models based on Fourier transforms, the model presented here uses a relatively small number of terms, leading to correspondingly fast integration times. Fringe fields are included and no assumption about the periodicity of the field is made.