International Journal of Physics
ISSN (Print): 2333-4568 ISSN (Online): 2333-4576 Website: Editor-in-chief: B.D. Indu
Open Access
Journal Browser
International Journal of Physics. 2014, 2(2), 37-40
DOI: 10.12691/ijp-2-2-3
Open AccessArticle

Effect of Space Charge Rotation with Kapchinskiy-Vladimirskiy Distribution Function in Quadrapole

N. Morshedian1, , A. Aminzadeh2, N. Abtahi2 and S. Atashbar Tehrani3

1Research School of Plasma Physics and Nuclear Fusion, Tehran-Iran

2Physics Department, Azad Islamic University, Central Tehran Branch, Tehran, Iran

3Physic Department, Azad Islamic Yazd University, Yazd, Iran & School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), ehran, Iran

Pub. Date: April 27, 2014

Cite this paper:
N. Morshedian, A. Aminzadeh, N. Abtahi and S. Atashbar Tehrani. Effect of Space Charge Rotation with Kapchinskiy-Vladimirskiy Distribution Function in Quadrapole. International Journal of Physics. 2014; 2(2):37-40. doi: 10.12691/ijp-2-2-3


The effect of space charge rotation has been studied in Vlasov-Poisson potential function with KV distribution in quadrupole. Effective potential varies due to rotation and the related parameter has been obtained based on focusing and defocusing of beam particles. The changed beam plasma frequencies have been calculated in the frame of laboratory coordinates. Also the new Hamiltonian of the system has been derived and finally the equipotential lines, electric and magnetic fields have been obtained. The magnetic field remains without any changing, but the electric field and equipotential lines changed in static qudrupole. The result of rotational space charge in static quadrupole is comparable with rotation of quadrupole system.

Vlasov-Poisson potential Kapchinskiy-Vladimirskiy Distribution

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit


Figure of 4


[1]  M. Venturini and R. L. Gluckstern, Phys. Rev. ST Accel Beams,3, 034203 (2000).
[2]  A.V.Fedotov and I.Hofmann, Phys. Rev. ST Accel Beams,5, 024202 (2002).
[3]  A.V.Fedotov, I.Hofmann, R.L. Glucksteam, and H.Okamoto, Phys.Rev.ST Accel Beams,6, 094201 (2003).
[4]  M.Aslaninejad, I.Hofmann, Phys. Rev. ST Accel Beams,6, 124202 (2003),J. Padhye, V. Firoiu, D. Towsley, "A stochastic model of TCP Reno congestion avoidance and control", Univ. of Massachusetts, Tech. Rep. 99-02, (1999).
[5]  H.Qin, M. Chung and R.C.Davidson. Phys. Rev. Lett,103, 224802 (2009).
[6]  H. Qin and R. C. Davidson, Phys. Rev. Lett. 110, no. 6, 064803 (2013).
[7]  Klaus Wille, The Physics of, for supporing him financially for this project Particle Accelerators an introduction.
[8]  I. Hofmann, Phys. Rev. E,57, 4713 (1998).
[9]  R. C. Davidson and H. Qin, Physics of Intense Charged Particle Beams in High Energy Accelerators (World Scienti_c, Singapore, 2001).
[10]  V A Lebedev and S A Bogacz, JINST 5 P10010 (2010).
[11]  R.C. Fernow et al., Possible demonstration of ionization cooling using absorbers in a solenoidal field, in Proceedings of Beam Dynamics and Technology Issues for Muon Collider, Montauk New York U.S.A.,October 1520 1995 AIP Conf. Proc. 372 146 (1996).
[12]  T.L. Barklow et al., Commissioning experience with the SLC arcs, SLAC-PUB-5056 (1989); T.L. Barklow, P. Emma, P. Krejcik and N.J. Walker, Review of lattice measurement techniques at the SLC, SLAC-PUB-5695 (1991).
[13]  D. Sagan and D. Rubin, Linear analysis of coupled lattices,Phys. Rev. ST Accel. Beams 2 074001 (1999).
[14]  D.A. Edwards and L.C. Teng, IEEE Trans. Nucl. Sci. 20 885 (1973).
[15]  I. Borchardt, E. Karantzoulis, H. Mais and G. Ripken, Z. Phys. C 39 339 (1988).