Abstract
The computer modeling methods of a compact isochronous cyclotron are described. The main stages of analysis of accelerator facilities systems are considered. The described methods are based on theoretical fundamentals of cyclotron physics and mention highlights of creation of the physical project of a compact cyclotron. The main attention is paid to the analysis of the beam dynamics, formation of a magnetic field, stability of the movement, and a realistic assessment of intensity of the generated bunch of particles. In the article, the stages of development of the accelerator computer model, analytical ways of assessment of the accelerator parameters, and the basic technique of the numerical analysis of dynamics of the particles are described.
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References
A. A. Samarskii and A. P. Mikhailov, Mathematical Modeling. Ideas. Methods. Examples, 2nd ed. (Fizmatlit, Moscow, 2001) [in Russian].
L. M. Onishchenko, “Cyclotrons: A Survey,” Phys. Part. Nucl. 39, 950 (2008).
V. L. Smirnov and S. B. Vorozhtsov, “SNOP-Beam dynamics analysis code for compact cyclotrons,” in Proc. the XXI Russian Accelerator Conference (St. Petersburg, Russia, 2012).
J. J. Yang, A. Adelmann, M. Humbel et al., in Proc. HB2008 (Nashville, 2008).
A. A. Glazov, V. V. Kalinichenko, G. A. Karamysheva, and O. E. Lisenkova, “Program complex for cyclotron beam dynamic simulations,” in Proc. RuPAC’2004 (Dubna, Russia, 2004).
M. ihák, O. Lebeda, and J. Štursa, in Proc. Cyclotrons and their Applications (Giardini Naxos, Italy, 2007).
B. Wang et al., “Computer design of the compact cyclotron,” Phys. Part. Nucl. Lett., 1, 3(173), 471–488 (2012).
V. Smirnov, S. Vorozhtsov, A. Goto, S. Hojo, T. Honma, and K. Katagiri, “Quantitative simulation of NIRS cyclotron,” in Proc. IPAC'12 (New Orleans, USA, 2012).
V. L. Smirnov, “Complex modeling of compact cyclotron,” Extended Abstract of Cand. Dissertation, JINR, Dubna, 2013.
S. B. Vorozhtsov, A. S. Vorozhtsov, S. Watanabe, S. Kubono, and A. Goto, “Computation of Cyclotron Electromagnetic Fields,” IEEE Transactions on Nuclear Science, 58 (3) (2011).
T. L. Hart, D. J. Summers, and K. Paul, “Magnetic field expansion out of a plane: application to cyclotron development,” in Proc. PAC’11 (New York, USA, 2011).
Opera/Tosca Reference Manual. Vector Fields.
A. N. Dubrovin, User’s Guide MERMAID: Magnet Design in Two and Three Dimensions, (SIM Limited, Novosibirsk, 1994), pp. 3–60.
S. Sytchevsky et al., “Numerical technology for design, development and measurements of magnet system in cyclotrons,” in Proc. 35th European Cyclotron Progress Meeting, ECPM2006 (Nice, France, 2006).
K. Halbach and R. F. Holsinger, “SUPERFISH-a computer program for evaluation of RF cavities with cylindrical symmetry,” Part. Accel. 7, 213–222 (1976).
www.cst.com
E. R. Forringer, PhD Thesis (Michigan State University, 2004).
D. A. Ovsyannikov, Modeling and Optimization of Dynamics of Charged Particle Beams, (Izd. Len. Univ., Leningrad, 1990) [in Russian].
Y. Batygin, “Low energy beam transport for intense beams,” in Proc. High Intensity RF Linear Accelerators. U.S. Particle Accelerator School (Albuquerque, NewMexico, 2014).
M. Reiser, Theory and Design of Charged Particle Beams (Wiley, 1994).
V. Smirnov, S. Vorozhtsov, and J. Vincent, “Design study of an ultra-compact superconducting cyclotron for isotope production,” Nucl. Instrum. Meth. Phys. Res. A.
V. L. Smirnov and S. B. Vorozhtsov, Patent No. 2014103854 (4 February 2014).
Dmitrievskii et al., Preprint No. 1431, JINR (Dubna, 1963).
I. Podadera et al., “Diagnostics for commissioning and operation of a novel compact cyclotron for radioisotope production,” Proc. IBIC2013 (Oxford, UK, 2013).
V. I. Zamolodchikov, Doctoral Dissertation in Math. and Phys. (JINR, Dubna, 1971).
H. L. Hagedorn and N. F. Verster, “Orbits in an AVF cyclotron,” Nucl. Instrum. Meth., 18, 19, 200–228 (1962).
M. M. Gordon, “Computation of closed orbits and basic focusing properties for sector-focused cyclotrons and the design of “Cyclops”,” Part. Accel., 16, 39–62 (1984).
A. S. Vorozhtsov et al., “Magnetic field of the VINCY cyclotron,” in Proc. 35th European Cyclotron Progress Meeting (ECPM 2006) (Nice, France, 2006).
S. B. Vorozhtsov, Doctoral Dissertation in Math. and Phys. (JINR, Dubna, 1986).
E. P. Zhidkov, E. E. Perepelkin, and S. B. Vorozhtsov, “Modeling of spiral inflector and centering of orbits in compact cyclotron,” Mat. Mod., 21 (1), 3–11 (2009).
F. Chautard, “Beam dynamics for cyclotrons,” in CAS Proceedings (2005), Vol. 12, p. 209.
Yu. N. Grigoriev, V. A. Vshivkov, and M. P. Fedoruk, Numeric Modeling by Particle-in-Cell Methods, (Izd. SO RAN, Novosibirsk, 2004) [in Russian].
A. S. Roshal', “Fast Fourier transform in computational physics,” Izv. vuzov. Radiofiz., 19 (10), 1425–1454 (1976).
F. Assous, P. Degond, and J. Segre, “A particle-tracking method for 3D electromagnetic PIC codes on unstructured meshes,” Comput. Phys. Commun. 72, 105–114 (1992).
E. Sonnedrucker, J. J. Ambrosiano, and S. T. Branon, “A finite element formulation of the Darwin PIC model on unstructured grids,” J. Comput. Phys. 121, 281–297 (1995).
P. Heikkinen, “Injection and extraction for cyclotrons,” CAS, CERN 94-01, 2, 819 (1994).
V. Nuttens, M. Abs, J.-L. Delvaux, Y. Jongen, W. Kleeven, M. Mehaudens, L. Medeiros Romao, T. Servais, T. Vanderlinden, and P. Verbruggen, “Cyclotron vacuum model and H-gas stripping losses,” in Proc. CYCLOTRONS 2010 (Lanzhou, China, 2010).
Y. Nakai et al., “Cross sections for charge transfer of hydrogen atoms and ions colliding with gaseous atoms and molecules,” Atomic Data and Nuclear Data Tables, 37, 69–101 (1987).
A. Poncet, in Proc. CERN Accelerator School: Vacuum Technology (Snekersten, Denmark, 1999), pp. 165–176.
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Original Russian Text © V.L. Smirnov, 2015, published in Fizika Elementarnykh Chastits i Atomnogo Yadra, 2015, Vol. 46, No. 6.
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Smirnov, V.L. Computer modeling of a compact isochronous cyclotron. Phys. Part. Nuclei 46, 940–955 (2015). https://doi.org/10.1134/S1063779615060040
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DOI: https://doi.org/10.1134/S1063779615060040