Analytical estimation of the dynamic apertures of circular accelerators

被引：17

作者：

Gao, J

机构：

[1] CNRS, IN2P3, Accelerateur Lineaire Lab, F-91898 Orsay, France

[2] Univ Paris Sud, F-91898 Orsay, France

来源：

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT | 2000年 / 451卷 / 03期

关键词：

circular accelerators; dynamic aperture; stochastic motions; nonlinear dynamics;

D O I：

10.1016/S0168-9002(00)00345-4

中图分类号：

TH7 [仪器、仪表];

学科分类号：

0804 ; 080401 ; 081102 ;

摘要：

By considering delta function sextupole, octupole, and decapole perturbations and using difference action-angle variable equations, we find some useful analytical formulae for the estimation of the dynamic apertures of circular accelerators due to single sextupole, single octupole, single decapole (single 2m pole in general); and their combined effects are derived based on the Chirikov criterion of the onset of stochastic motions. Comparisons with numerical simulations are made, and the agreement is quite satisfactory. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：545 / 557

页数：13

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