Magnetic field mapping of the Belle solenoid

Tan, Nusret; Akatsu, M.; Bożek, A.; Fujimoto, K.; Haba, J.; Hara, T.; Hirano, Hiroyuki; Hirose, Masashi; Hojo, T.; Hoshina, K.; Inami, K.; Ishikawa, A.; Iwasaki, Y.; Joo, K. K.; Katayama, N.; Makida, Y.; Matsumoto, Toshio; Nagai, I.; Nakai, K.; Nitoh, O.; Ohnishi, Y.; Okabe, T.; Okazaki, N.; Ozaki, H.; Sakai, Y.; Sugi, A.; Sugiyama, A.; Suitoh, S.; Suzuki, Jun–ichi; Suzuki, S.; Takasaki, F.; Tanaka, J.; Tomoto, M.; Trabelsi, K.; Uno, S.; Yamada, Hiroshi; Yokota, Hiroshi; Yamaoka, Y.; Yokoyama, T.; Yoshida, Kohei

doi:10.1109/23.940130

Cited by 7 publications

(9 citation statements)

References 7 publications

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“…Using the coefficients of cos term, we can solve the unknown constants . Once all of and are known, the component can be calculated by (2). Similarly, we can calculate the components and .…”

Section: Lorentzian Curvementioning

confidence: 99%

“…In the application of magnet, it is important to obtain accurate information about the magnetic field [1][2]. Normally a map of the magnetic field distribution is frequently needed to guarantee the characteristics of the magnetic field.…”

Section: Introductionmentioning

confidence: 99%

“…Study on magnetic field mapping within cylindrical center volume of general magnet Once all of sin and cos terms in the component have been obtained, using (2), the component at any point in the mapped volume can be calculated. In the same way, the components and in the volume can be obtained.…”

mentioning

confidence: 99%

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Study on magnetic field mapping within cylindrical center volume of general magnet

Huang¹,

Lee²

2016

Progress in Superconductivity and Cryogenics

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For the magnetic field analysis or design, it is important to know the behavior of the magnetic field in an interesting space. Magnetic field mapping becomes a useful tool for the study of magnetic field. In this paper, a numerical way for mapping the magnetic field within the cylindrical center volume of magnet is presented, based on the solution of the Laplace's equation in the cylindrical coordinate system. The expression of the magnetic field can be obtained by the magnetic flux density, which measured in the mapped volume. According to the form of the expression, the measurement points are arranged with the parallel cylindrical line (PCL) method. As example, the magnetic flux density generated by an electron cyclotron resonance ion source (ECRIS) magnet and a quadrupole magnet were mapped using the PCL method, respectively. The mapping results show the PCL arrangement method is feasible and convenience to map the magnetic field within a cylindrical center volume generated by the general magnet.

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Section: Lorentzian Curvementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Study on magnetic field mapping within cylindrical center volume of general magnet

Huang¹,

Lee²

2016

Progress in Superconductivity and Cryogenics

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“…According to (2) and the data from the measurement points, the constants and can be calculated. Then the z component of the magnetic field at the any points can be mapped by (1) and the coordinates of these points.…”

Section: Mapping Proceduresmentioning

confidence: 99%

“…The direct way for the magnetic field mapping is to measure the magnetic field at many points in the interesting volume. However, in order to ensure the accuracy of the reconstruction, the number of the measurement points will be very considerable and the measurement time also can be very long [2]. On the contrary, the indirect way uses several measurement points to obtain the expression of the magnetic field.…”

Section: Introductionmentioning

confidence: 99%

A study on the effect of the condition number in the magnetic field mapping of the Air-Core solenoid

Huang¹,

Lee

2015

Progress in Superconductivity and Cryogenics

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Mapping is a useful tool in the magnetic field analysis and design. In some specific research area, such as the nuclear magnetic resonance (NMR) or the magnetic resonance imaging (MRI), it is important to map the magnetic field in the interesting space with high accuracy. In this paper, an indirect mapping method in the center volume of an air-core solenoid is presented, based on the solution of the Laplace's equation for the field. Through the mathematical analysis on the mapping calculation, we know that the condition number of the matrix, generated by the measurement points, can greatly affect the error of mapping result. Two different arrangement methods of the measurement points in field mapping are described in this paper: helical cylindrical line (HCL) method and parallel cylindrical line (PCL) method. According to the condition number, the HCL method is recommended to measure the field components using one probe. As a simple example, we mapped the magnetic fields in a MRI main magnet system. Comparing the results in the different methods, it is feasible and convenient to apply the condition number to reduce the error in the field mapping calculation. Finally, some guidelines were presented for the magnetic field mapping in the center volume of the air-core solenoid.

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Magnetic Field Mapping in the BESIII Solenoid

Yan

Huang

Hou

et al. 2010

IEEE Trans. Appl. Supercond.

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The Beijing Spectrometer III (BESIII) superconducting solenoid magnet, which is running in the Beijing Electron Positron Collider II (BEPC-II), is an important part of BESIII and provides a 1 Tesla field in the main drift chamber. A 3-D mapping device with three 3-D probes was fabricated to measure the field components of , and . The mapping of the magnetic field of the BESIII superconducting solenoid magnet is presented, with the accelerator interaction region magnets located inside the BESIII solenoid excited to different current values. A set of polynomials, and a few trigonometric-Bessel terms are used to fit the data. The measurements and the functional model agree to 5 Gauss within the main drift chamber tracking volume at nominal field values.

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Magnetic field mapping of the Belle solenoid

Cited by 7 publications

References 7 publications

Study on magnetic field mapping within cylindrical center volume of general magnet

Study on magnetic field mapping within cylindrical center volume of general magnet

A study on the effect of the condition number in the magnetic field mapping of the Air-Core solenoid

Magnetic Field Mapping in the BESIII Solenoid

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