| 通过响应矩阵计算横向振荡的振幅函数和相位 |
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| 引用本文： | 谢东,李为民,王琳,何多慧. 通过响应矩阵计算横向振荡的振幅函数和相位[J]. 强激光与粒子束, 2005, 17(4): 629-632 |
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| 作者姓名： | 谢东 李为民 王琳 何多慧 |
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| 作者单位： | 中国科学技术大学,国家同步辐射实验室,安徽,合肥,230029;中国科学技术大学,国家同步辐射实验室,安徽,合肥,230029;中国科学技术大学,国家同步辐射实验室,安徽,合肥,230029;中国科学技术大学,国家同步辐射实验室,安徽,合肥,230029 |
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| 基金项目： | 国家九五重大科学项目“国家同步辐射实验室二期工程”资助课题 |
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| 摘 要： | 响应矩阵反映了束流位置监测器（BPM）位置处观察到的束流在校正铁磁场空间中的运行规律。根据电子储存环理论模型，采用迭代方法从实测响应矩阵计算束流横向振荡的振幅函数和相位。计算结果的精度主要受响应矩阵测量误差、BPM测量误差和校正铁电源刻度误差影响。计算响应矩阵的误差代表了迭代所采用的工作点的正确度，实际的工作点对应于计算响应矩阵的最小均方差，以此可推导实际的工作点。
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| 关 键 词： | 响应矩阵 最小二乘法 迭代 Beta函数 |
| 文章编号： | 1001-4322(2005)04-0629-04 |
| 收稿时间： | 2004-10-20 |
| 修稿时间： | 2004-10-20 |
Measurement of beta-function and phase using response matrix |
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| XIE Dong,LI Wei-min,WANG Lin,He Duo-hui. Measurement of beta-function and phase using response matrix[J]. High Power Laser and Particle Beams, 2005, 17(4): 629-632 |
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| Authors: | XIE Dong LI Wei-min WANG Lin He Duo-hui |
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| Affiliation: | National Synchrotron Radiation Laboratory, University of Science and Technology of China, P.O.Box 6022, Hefei 230029, China |
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| Abstract: | The response matrix relates beam motion at the BPM locations to changes in corrector magnet strengths. A method for extracting the beta-function and phase of the beam position monitors and the corrector magnets from the measured response matrix based on storage ring theoretical model is presented. The accuracy of beta and phase thus calculated is limited by the accuracy of response matrix measurement and calibration of BPM and correctors. The error function represents the accuracy of the tune used for iteration. The correct tune corresponds to the minimum error function, which can be used to determine the actual tune. |
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| Keywords: | Response matrix Method of least square Iteration Beta-function |
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