A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors

Zhang Chuang; Chen Siyu

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2024年10月30日

Chinese Physics C> 1988, Vol. 12> Issue(S2) : 181-188

A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors

Zhang Chuang ,
Chen Siyu

Institute of High Energy Physics, Academia Sinica, Beijing

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

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Zhang Chuang and Chen Siyu. A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors[J]. Chinese Physics C, 1988, 12(S2): 181-188.

Zhang Chuang and Chen Siyu. A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors[J]. Chinese Physics C, 1988, 12(S2): 181-188. shu

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Received: 1987-08-18

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A General Formula of Tune Spread Caused by the Middle-Plane-Asymmetrical Magnetic Field Errors

Zhang Chuang
Chen Siyu

Institute of High Energy Physics, Academia Sinica, Beijing

Received Date: 1987-08-18

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