Mechanism and Application of the Super-Periodic Structural Resonance in Storage Rings

FANG Shou-Xian; QIN Qing

Chinese Physics C> 2006, Vol. 30> Issue(9) : 880-887

Mechanism and Application of the Super-Periodic Structural Resonance in Storage Rings

FANG Shou-Xian ,
QIN Qing ^,

Institute of High Energy Physics, CAS, Beijing 100049, China

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Abstract：
The traditional stability diagram for lattice design described in the space of the gradients of a focusing and a defocusing magnet is extended to study more complicated cases, in which the basic cell included in the super-periodic structure has more than two gradients as variables. With the method developed here, it is easy to understand the mechanism and the physics hidden behind these structural resonances and the method can be used to guide the choice of the working points of a given lattice. Applications on the real machines are given as examples, with the simulation results on dynamic aperture.

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FANG Shou-Xian and QIN Qing. Mechanism and Application of the Super-Periodic Structural Resonance in Storage Rings[J]. Chinese Physics C, 2006, 30(9): 880-887.

FANG Shou-Xian and QIN Qing. Mechanism and Application of the Super-Periodic Structural Resonance in Storage Rings[J]. Chinese Physics C, 2006, 30(9): 880-887. shu

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Received: 2006-02-07
Revised: 2006-03-06

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沈阳化工大学材料科学与工程学院沈阳 110142

Mechanism and Application of the Super-Periodic Structural Resonance in Storage Rings

FANG Shou-Xian
QIN Qing ^,

Corresponding author: QIN Qing,

Institute of High Energy Physics, CAS, Beijing 100049, China

Received Date: 2006-02-07
Accepted Date: 2006-03-06
Available Online: 2006-09-05

Abstract: The traditional stability diagram for lattice design described in the space of the gradients of a focusing and a defocusing magnet is extended to study more complicated cases, in which the basic cell included in the super-periodic structure has more than two gradients as variables. With the method developed here, it is easy to understand the mechanism and the physics hidden behind these structural resonances and the method can be used to guide the choice of the working points of a given lattice. Applications on the real machines are given as examples, with the simulation results on dynamic aperture.