A GENERAL FORMULA OF TUNE SPREAD CAUSED BY MIDDLE PLANE ASYMMETRICAL MAGNETIC FIELD ERRORS

  • The betatron tune spread caused by magnetic field errors in accelerators is a very important parameter.In this paper a expression of middle plane asymmetrical magnetic field errors is obtained on the Maxwell equations,and a general formula formula of tune spread is derived starting from the transverse equations o motion.
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  • [1] A. W. Chao, M. J. Lee, and P. L. Morton: "Higher Order Multipole Magnet Tolerapces", IEEE Trans.NS-22, Vol. 3(1975), 6.[2] R. Servranchz: "Magnetic Field Quality Requirments for PEP", IEEE Trans. NS-24, Vol. 3(1977), 6
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ZHANG Chuang and CHEN Si-Yu. A GENERAL FORMULA OF TUNE SPREAD CAUSED BY MIDDLE PLANE ASYMMETRICAL MAGNETIC FIELD ERRORS[J]. Chinese Physics C, 1988, 12(5): 652-657.
ZHANG Chuang and CHEN Si-Yu. A GENERAL FORMULA OF TUNE SPREAD CAUSED BY MIDDLE PLANE ASYMMETRICAL MAGNETIC FIELD ERRORS[J]. Chinese Physics C, 1988, 12(5): 652-657. shu
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Received: 1900-01-01
Revised: 1900-01-01
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A GENERAL FORMULA OF TUNE SPREAD CAUSED BY MIDDLE PLANE ASYMMETRICAL MAGNETIC FIELD ERRORS

    Corresponding author: ZHANG Chuang,
  • Institute of High Energy Physics,Academia Sinica,Beijing

Abstract: The betatron tune spread caused by magnetic field errors in accelerators is a very important parameter.In this paper a expression of middle plane asymmetrical magnetic field errors is obtained on the Maxwell equations,and a general formula formula of tune spread is derived starting from the transverse equations o motion.

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