New type of bunch lengthening with cusp catastrophe in electron storage rings | Zendy

K. Hirata | Zendy; S. Petracca | Zendy; F. Ruggiero | Zendy

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New type of bunch lengthening with cusp catastrophe in electron storage rings

Author(s) -

K. Hirata,

S. Petracca,

F. Ruggiero

Publication year - 1991

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.66.1693

Subject(s) - bistability , cusp (singularity) , catastrophe theory , physics , wake , electron , hysteresis , classical mechanics , condensed matter physics , quantum mechanics , mechanics , geometry , mathematics , geotechnical engineering , engineering

Using a simple wake function, it is shown that the equilibrium bunch length in electron storage rings with localized wake can have a cusp-catastrophe behavior. Contrary to the results of the conventional theory for a distributed wake force, the system becomes bistable (period 1 and period 2) and exhibits hysteresis in some region of the parameter space. These features are predicted by a Gaussian approximation and confirmed by multiparticle tracking

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