通过响应矩阵计算横向振荡的振幅函数和相位
Measurement of beta-function and phase using response matrix
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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。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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Key words:
- response matrix /
- method of least square /
- iteration /
- beta-function
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