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

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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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沈阳化工大学材料科学与工程学院沈阳 110142

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.