COMPENSATION OF THE SPACE CHARGE FORCE IN A SYNCHROTRON BY MEANS OF RF QUADRUPOLE

FANG SHOU-XIAN

Chinese Physics C> 1981, Vol. 5> Issue(2) : 169-175

COMPENSATION OF THE SPACE CHARGE FORCE IN A SYNCHROTRON BY MEANS OF RF QUADRUPOLE

FANG SHOU-XIAN

Institute of High Energy Physics, Academia Sinica

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Abstract：
Quantitative analysis of the space charge force compensation by means of RF quadrupoles in a synchrotron is given. For a bunched beam, if RF quadrupole magnets operating at the fundamental RF frequency (or at most the fundamental and the second harmonic frequency) are applied, the linear betatron turn shift Δv, excited by the linear part of space charge force, would be diminished effectively for the most particles, either in palabolic distribution at longitudinal direction or in Gaussian distribution. Then the space charge limit, mainly decided by nonlinear turn shift, would be raised twice as large as that given in Laslett formular.

References

[1]

R, R. Wilson, Raieing the 6pace-charge limit of a Synchrotron by means of R. F, quadrupoles FNAL report, TM-890 (1979).[2] B. W. Zotter, .Q-shift due to the direct apace-charge field of stacked particle beams. CERN/ISRTH/75-5.[3] J.Gareyte, L. Magnani, F. Pedersen, F. Bacherer and K. Schindl, Beam dynamic ezperments in the CERN ps booster, CERN/MPS/Int, BR/75-5.

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FANG SHOU-XIAN. COMPENSATION OF THE SPACE CHARGE FORCE IN A SYNCHROTRON BY MEANS OF RF QUADRUPOLE[J]. Chinese Physics C, 1981, 5(2): 169-175.

FANG SHOU-XIAN. COMPENSATION OF THE SPACE CHARGE FORCE IN A SYNCHROTRON BY MEANS OF RF QUADRUPOLE[J]. Chinese Physics C, 1981, 5(2): 169-175. shu

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Received: 1979-09-06
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

COMPENSATION OF THE SPACE CHARGE FORCE IN A SYNCHROTRON BY MEANS OF RF QUADRUPOLE

FANG SHOU-XIAN

Institute of High Energy Physics, Academia Sinica

Received Date: 1979-09-06
Accepted Date: 1900-01-01
Available Online: 1981-04-05

Abstract: Quantitative analysis of the space charge force compensation by means of RF quadrupoles in a synchrotron is given. For a bunched beam, if RF quadrupole magnets operating at the fundamental RF frequency (or at most the fundamental and the second harmonic frequency) are applied, the linear betatron turn shift Δv, excited by the linear part of space charge force, would be diminished effectively for the most particles, either in palabolic distribution at longitudinal direction or in Gaussian distribution. Then the space charge limit, mainly decided by nonlinear turn shift, would be raised twice as large as that given in Laslett formular.