Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya
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Vestnik Sankt-Peterburgskogo Universiteta. Seriya 10. Prikladnaya Matematika. Informatika. Protsessy Upravleniya, 2011, Issue 1, Pages 37–48 (Mi vspui18)  

Applied mathematics

Variable transition energy lattices based on different periodic cells with various types of dispersion suppressor

Yu. V. Senicheva, A. N. Checheninb, S. A. Kostrominc

a Jülich Research Centre, Germany
b St. Petersburg State University, Faculty of Applied Mathematics and Control Processes
c Joint Institute for Nuclear Research, Dubna, Moskovskaya obl.
References:
Abstract: The structures with the variable transition energy have many applications. In particular this function plays the crucial role in the high intensity synchrotrons to avoid a gamma-transition crossing, in the storage rings to provide the optimal condition for the stochastic cooling, in the multi-particle synchrotrons to create the simultaneous conditions for each type of particles. From this point of view the flexible control of gamma-transition by little number of elements is desirable. Besides we should keep such important properties as dispersion-free straight sections, the minimum number of chromatic sextupoles and their unchangeable self-compensation scheme independently on gamma-transition value to survive a large dynamic aperture in whole energy region. In this paper we consider the “resonant” lattice based on the doublet, the triplet and compare their advantages and disadvantages with the singlet cell lattice. Another subject solved in this paper is the dispersion suppressor. Bibliogr. 14 items.
Keywords: synchrotron, lattice, compensation of chromaticity, dispersion suppressor.

Accepted: October 14, 2010
Document Type: Article
UDC: 621.384.6+51.73+51.74+517.928+517.938
Language: English
Citation: Yu. V. Senichev, A. N. Chechenin, S. A. Kostromin, “Variable transition energy lattices based on different periodic cells with various types of dispersion suppressor”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2011, no. 1, 37–48
Citation in format AMSBIB
\Bibitem{SenCheKos11}
\by Yu.~V.~Senichev, A.~N.~Chechenin, S.~A.~Kostromin
\paper Variable transition energy lattices based on different periodic cells with various types of dispersion suppressor
\jour Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr.
\yr 2011
\issue 1
\pages 37--48
\mathnet{http://mi.mathnet.ru/vspui18}
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    Вестник Санкт-Петербургского университета. Серия 10. Прикладная математика. Информатика. Процессы управления
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    Abstract page:125
    Full-text PDF :89
    References:32
    First page:2
     
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