A small aperture quadrupole magnet measurement method based on the single stretched wire method

参量 Parameters	数值Value
孔半径 Inscribed radius / mm	11
铁芯长度 Length of iron core / cm	20
磁场梯度 Gradient / T·m^-1	100 (@5 400 AT)
好场区半径 Good reference radius / mm	5
高阶场误差 Multipole errors	$< 5 \times 10^{- 4} (@ r = 5 m m)$

Table 2. Main parameters of the SSWM system
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Table 2. Main parameters of the SSWM system
参量Parameters 值Value
线类型Type of wire Be-Cu
线长Length of wire / m 1
步长Step length Δl / mm 0.22

Table 3. Measurement results of magnetic center deviation
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Table 3. Measurement results of magnetic center deviation
测量次数Times $x_{0}$ / μm $y_{0}$ / μm α / rad
1 2.82 -4.28 0.001 1
2 7.96 -1.36 0.000 87
3 4.94 -2.02 0.001 1

Table 4. Multipole component values obtained through three measurement fittings

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Table 4. Multipole component values obtained through three measurement fittings

阶数n	$n b_{n} / 2 b_{2}$			$n a_{n} / 2 b_{2}$
阶数n	第一次测量 Measurement No.1	第二次测量 Measurement No.2	第三次测量 Measurement No.3	第一次测量 Measurement No.1	第二次测量 Measurement No.2	第三次测量 Measurement No.3
3	$- 2.25 \times 10^{- 4}$	$- 2.34 \times 10^{- 4}$	$- 1.88 \times 10^{- 4}$	$- 1.14 \times 10^{- 3}$	$- 8.74 \times 10^{- 4}$	$- 1.06 \times 10^{- 3}$
4	$8.25 \times 10^{- 5}$	$1.04 \times 10^{- 4}$	$1.68 \times 10^{- 4}$	$- 1.17 \times 10^{- 4}$	$- 1.38 \times 10^{- 4}$	$- 1.29 \times 10^{- 4}$
5	$- 6.60 \times 10^{- 5}$	$- 9.20 \times 10^{- 5}$	$- 7.43 \times 10^{- 5}$	$1.92 \times 10^{- 6}$	$- 7.01 \times 10^{- 5}$	$8.32 \times 10^{- 7}$
6	$1.45 \times 10^{- 4}$	$1.65 \times 10^{- 4}$	$1.81 \times 10^{- 4}$	$- 1.85 \times 10^{- 4}$	$- 1.15 \times 10^{- 4}$	$- 2.30 \times 10^{- 4}$
10	$5.24 \times 10^{- 5}$	$5.57 \times 10^{- 5}$	$5.62 \times 10^{- 5}$	$- 8.30 \times 10^{- 6}$	$- 5.81 \times 10^{- 6}$	$- 1.02 \times 10^{- 5}$

Table 5. Multipole component values measured by SSWM and rotating coil method

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Table 5. Multipole component values measured by SSWM and rotating coil method

高阶项 n	伸展线法SSWM		旋转线圈法Rotating coil
高阶项 n	$n b_{n} / 2 b_{2}$	$n a_{n} / 2 b_{2}$	$n b_{n} / 2 b_{2}$	$n a_{n} / 2 b_{2}$
3	$- 2.16 \times 10^{- 4}$	$- 1.02 \times 10^{- 3}$	$- 8.03 \times 10^{- 5}$	$- 8.74 \times 10^{- 4}$
4	$1.18 \times 10^{- 4}$	$- 1.27 \times 10^{- 4}$	$- 4.49 \times 10^{- 5}$	$- 9.83 \times 10^{- 5}$
5	$- 7.74 \times 10^{- 5}$	$- 2.24 \times 10^{- 5}$	$- 4.83 \times 10^{- 5}$	$- 7.23 \times 10^{- 5}$
6	$1.64 \times 10^{- 4}$	$- 1.77 \times 10^{- 4}$	$- 1.10 \times 10^{- 4}$	$4.16 \times 10^{- 5}$
10	$5.48 \times 10^{- 5}$	$- 8.10 \times 10^{- 6}$	$- 1.31 \times 10^{- 4}$	$6.90 \times 10^{- 5}$

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Chan LIU, Jidong ZHANG, Qiaogen ZHOU. A small aperture quadrupole magnet measurement method based on the single stretched wire method[J]. NUCLEAR TECHNIQUES, 2023, 46(6): 060201

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