Effects of the Space Charge Forces and the Beam Halo in an AVF Cyclotron with Intense Beam Currents

OUYANG Hua-Fu

Chinese Physics C> 2001, Vol. 25> Issue(6) : 561-570

Effects of the Space Charge Forces and the Beam Halo in an AVF Cyclotron with Intense Beam Currents

OUYANG Hua-Fu ^,

Institute of High Energy Physics, CAS, Beijing 100039,China

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Abstract：
The equations of motion of particles in an AVF cyclotron in a curvilinear coordinate system are derived for the cases with and without space charge forces. Assuming a set of the parameter values in the equations, numerical calculations are carried out by using Lunge-Kutta methods in the case with space charge forces. The results show that the formation of the beam halo is also a main reason of the beam losses, but the mechanism here is different from that in a linear accelerator. It is not given rise by resonance and chaos but the outward repellent motion and the vortex motion of the particles in the bunch.

References

[1]

. Prome M.Proc.of the XVIII Int.Linear Accel.Conf,26—30 August,1996,Geneva.Switerland,CERN96–07,92. Thomas L H.Phys.Rev.,1938,54:5803. Martin Reiser.Theory and Designe of Charged Particle Beams,John Wiley Sons,INC.,19944. Goldstein H.Classical Mechchanics,Addison-Wesley Press Inc.,Cambridge,Mass.,19505. Hagedoorn H L,Verster N F.Nucl.Instr.and Meth.,1962,18:2016. Kleeven W J G M,Hagedoorn H L.Batygin Y K.Particle Accelerators,1989,24:1877. Gordon M M.Proc.5th Int.Conf.on cyclotrons and their Application,Oxford,1969,3058. Adam S.IEEE Tans.Nucl.Sci.,1985,32:25079. Adam S.Proc.14th Int.Conf.on Cyclotrons and their Application,Cape Town,1995,466

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OUYANG Hua-Fu. Effects of the Space Charge Forces and the Beam Halo in an AVF Cyclotron with Intense Beam Currents[J]. Chinese Physics C, 2001, 25(6): 561-570.

OUYANG Hua-Fu. Effects of the Space Charge Forces and the Beam Halo in an AVF Cyclotron with Intense Beam Currents[J]. Chinese Physics C, 2001, 25(6): 561-570. shu

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Received: 2000-04-24
Revised: 1900-01-01

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Effects of the Space Charge Forces and the Beam Halo in an AVF Cyclotron with Intense Beam Currents

OUYANG Hua-Fu ^,

Corresponding author: OUYANG Hua-Fu,

Institute of High Energy Physics, CAS, Beijing 100039,China

Received Date: 2000-04-24
Accepted Date: 1900-01-01
Available Online: 2001-06-05

Abstract: The equations of motion of particles in an AVF cyclotron in a curvilinear coordinate system are derived for the cases with and without space charge forces. Assuming a set of the parameter values in the equations, numerical calculations are carried out by using Lunge-Kutta methods in the case with space charge forces. The results show that the formation of the beam halo is also a main reason of the beam losses, but the mechanism here is different from that in a linear accelerator. It is not given rise by resonance and chaos but the outward repellent motion and the vortex motion of the particles in the bunch.