Abstract
The University of Maryland electron ring is a small low energy machine for the study of space-charge dominated beams. Differential algebraic methods as implemented in COSY INFINITY offer an accurate method to study and analyze single particle nonlinear dynamics. As a starting point for space-charge related studies, we undertook a comprehensive examination of the single particle nonlinear dynamics based on differential algebra methods. Quantities such as tunes, chromaticities, dispersion, amplitude dependent tune shifts, and resonance strengths were calculated, and robustness of the solutions with respect to errors tested. The model demonstrated that the earth’s magnetic field has a significant impact on the beam, and adds rich dynamics even in the absence of space charge. Initially we determined the tunes for which an injection-free idealization of the ring had the largest dynamic aperture. Our study then showed that the actual ring also had the largest dynamic aperture at these same tunes, and at these tunes was also least sensitive to errors. Comparison of predicted beam trajectories with measured data showed that the model was accurate for the examined area.
Highlights
The University of Maryland electron ring (UMER) is an electron storage ring that is 3.8 meters in diameter, which uses low energy (10 keV) electrons to study space-charge dominated beams, and that models some more costly heavy particle beam accelerators [1,2,3]
The COSY predicted settings compared with the UMER calculated settings, as well as another set of UMER settings based on a LOCO-type response matrix steering algorithm [9], were used to provide a common basis for comparison of the steering solutions; see Fig. 15
This study undertook an analysis of the single particle nonlinear effects in the University of Maryland electron ring, both through simulation and follow-up experiments
Summary
The University of Maryland electron ring (UMER) is an electron storage ring that is 3.8 meters in diameter, which uses low energy (10 keV) electrons to study space-charge dominated beams, and that models some more costly heavy particle beam accelerators [1,2,3]. Since the normal form method is a coordinate transform, individual particles can have their tunes directly determined, allowing for the computation of amplitude dependent tune shifts. This allows for a study of the resonances, and the resonance strengths can be directly computed [13]. COSY has an architecture which allows new elements to be implemented This can be used either for elements with unusual properties such as the UMER short solenoid, or for adding effects to existing elements such as kicks from the earth’s magnetic field or image charges. A range of operating points which give different horizontal and vertical tunes were
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Physical Review Special Topics - Accelerators and Beams
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
