My polarimeter
Time resolution require#
Harmonic number \(h = 6\)，SRC 导出轨道半径 \(R_{ext} = 5.36\ \mathrm{m}\)，束流动能 \(T_u = 190\ \mathrm{MeV}/u\)。
束流包之间的间隔时间 \(\Delta t\) 实际上是射频电场的周期 \(T_{RF}\)，即：
$\(\Delta t = T_{RF} = \frac{1}{f_{RF}} = \frac{1}{h \times f_{rev}}\)$
先由 \(T_u = 190\ \mathrm{MeV}/u\) 求相对论因子（取 \(m_u c^2 = 931.494\ \mathrm{MeV}\)）：
$\(\gamma = 1 + \frac{T_u}{m_u c^2} = 1 + \frac{190}{931.494} = 1.20397\)$
$\(\beta = \sqrt{1 - \gamma^{-2}} = 0.55689\)$
$\(v = \beta c = 1.6695 \times 10^{8}\ \mathrm{m/s}\)$
再由导出半径 \(R_{ext} = 5.36\ \mathrm{m}\) 计算导出轨道圆周与回旋频率：
$\(C = 2\pi R_{ext} = 33.678\ \mathrm{m}\)$
$\(f_{rev} = \frac{v}{C} = 4.9573\ \mathrm{MHz}\)$
于是 bucket 频率与束团间隔为：
$\(f_{bucket} = h \times f_{rev} = 6 \times 4.9573\ \mathrm{MHz} = 29.7441\ \mathrm{MHz}\)$
$\(\Delta t = \frac{1}{f_{bucket}} \approx 33.62\ \mathrm{ns}\)$
Energy deposit#
![alt text](assets/my_polarimeter.en/image-1.png
创建日期: 2025-08-31