Emittance Dominated Long Bunches in Dual Harmonic RF Systems

AN Shi-Zhong<SUP></SUP>; TANG Jing-Yu<SUP></SUP>

doi:10.1088/1674-1137/32/1/014

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2008, Vol. 32> Issue(1) : 60-66 DOI: 10.1088/1674-1137/32/1/014

Emittance Dominated Long Bunches in Dual Harmonic RF Systems

AN Shi-Zhong ^, ,
TANG Jing-Yu ,

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Abstract：
The storage of long bunches for long time intervals needs flattened stationary buckets with large bucket height. In the case of small energy spread with a cooled beam, the Coulomb interaction cannot be ignored. The properties of the dual harmonic RF systems are discussed for the emittance dominated long bunches below transition. The external voltage has to be increased to compensate the Coulomb interaction to keep bunch length unchanged. The longitudinal motion of the initially mismatched beam has been studied for both single and dual harmonic RF system. Bucket height of the single harmonic system is too small even for 20 % mismatch. Halo formation and debunching can be seen after a few synchrotron periods for single particles with large amplitude. The simulation results by using ORBIT code for the FAIR-HESR synchrotron has been given together with theoretical analysis.

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AN Shi-Zhong, TANG Jing-Yu and Emittance Dominated Long Bunches in Dual Harmonic RF Systems[J]. Chinese Physics C, 2008, 32(1): 60-66. doi: 10.1088/1674-1137/32/1/014

AN Shi-Zhong, TANG Jing-Yu and Emittance Dominated Long Bunches in Dual Harmonic RF Systems[J]. Chinese Physics C, 2008, 32(1): 60-66. doi: 10.1088/1674-1137/32/1/014 shu

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Received: 2006-10-26
Revised: 2007-07-13

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Emittance Dominated Long Bunches in Dual Harmonic RF Systems

AN Shi-Zhong ^,
TANG Jing-Yu

Corresponding author: AN Shi-Zhong,

Received Date: 2006-10-26
Accepted Date: 2007-07-13
Available Online: 2008-01-05

Abstract: The storage of long bunches for long time intervals needs flattened stationary buckets with large bucket height. In the case of small energy spread with a cooled beam, the Coulomb interaction cannot be ignored. The properties of the dual harmonic RF systems are discussed for the emittance dominated long bunches below transition. The external voltage has to be increased to compensate the Coulomb interaction to keep bunch length unchanged. The longitudinal motion of the initially mismatched beam has been studied for both single and dual harmonic RF system. Bucket height of the single harmonic system is too small even for 20 % mismatch. Halo formation and debunching can be seen after a few synchrotron periods for single particles with large amplitude. The simulation results by using ORBIT code for the FAIR-HESR synchrotron has been given together with theoretical analysis.