Title :
Development for large dynamical field range, wide good field region C-magnet
Author :
Zhang, T. ; Sato, K. ; Ninomiya, S. ; Saito, H. ; Sasaki, Y. ; Morioka, S.
Author_Institution :
China Inst. of Atomic Energy, Beijing, China
Abstract :
The dipole magnets are used frequently in the different types of accelerators. The solution of Laplace´s equation was introduced to calculate the pole shape based on the assumption that the pole surface is the equal scalar potential surface if the permeability is high enough [1]. During the calculation of the pole shape, one usually uses the error function to describe the distribution of the magnetic field. However, we suffered some convergence problem in the solving process of the equal potential equation with the high order derivatives of the error function. In this paper, a new function is opted to describe the distribution of the field for the dipole. The solutions of the 3D Laplace´s equation determined by the distribution from this new function are investigated widely. A dipole magnet with the resulting shape of the pole is designed by the numerical computation to confirm the performance of this new function and is fabricated based on such a design for the experiment study. The 2D and integrated field uniformity and the good field region are measured by Hall probe and search coils respectively. The measurement results are also presented
Keywords :
Laplace equations; accelerator magnets; numerical stability; Hall probe; Laplace equation; convergence problem; dipole magnets; error function; large dynamical field range wide good field region C-magnet; scalar potential surface; search coils; Accelerator magnets; Coils; Electron beams; Hall effect devices; Laplace equations; Magnetic field measurement; Magnetic fields; Nuclear physics; Permeability; Shape;
Conference_Titel :
Particle Accelerator Conference, 2001. PAC 2001. Proceedings of the 2001
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-7191-7
DOI :
10.1109/PAC.2001.988192