Harmonic Number Jump in a Ring with Cavities Distributed Everywhere.

Berg, J. S.

Technical Information Center Oak Ridge Tennessee

关键词: Accelerators;    Beam acceleration;    Equations;    Single cavities;    RF frequency;   

RP-ID  :  DE2007910368

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

One of the primary motivations for using fixed field alternating gradient accelerators (FFAGs) is their ability to accelerate rapidly, since the magnetic fields do not need to be varied. However, one must then face the difficulty that the time of flight in an FFAG depends strongly on the particle energy. Traditionally, this is dealt with by varying the RF frequency. The rate at which one can vary the RF frequency is limited, and a cavity and power source which have a rapidly varying RF frequency are costly. One solution to this is harmonic number jump acceleration (Alessandro G. Ruggiero, Phys. Rev. ST Accel. Beams 9, 100101 (2006)), where the RF frequency is fixed. The RF frequency is chosen so that each turn has an integer number of RF periods, but that integer number is different on each turn. When accelerating rapidly, a large number of cavities is often required. This paper will show that in general, the time of flight can only be an integer number of RF periods for all turns at one position in the ring. It will then compute how well one can do when cavities are distributed everywhere in the ring. The paper will show some examples, and will discuss possible applications for this technique.