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Smoothing and differentiating experimentally measured magnetic field distribution in the gap of cyclotron electromagnet

机译:回旋加速器电磁铁间隙中实验测量的磁场分布的平滑和微分

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摘要

We describe an algorithm for smoothing and differentiating an experimentally measured magnetic field distribution defined in a cylindrical coordinate system and set in the form of a table. Formulas for the local smoothing and differentiation of magnetic induction over arrays of various dimensions (3 x 3 x 3, 5 x 5 x 5, etc.) are presented. The obtained magnetic field components obey the Maxwell equations. Principles of the optimum choice of the smoothing step are considered and estimations of the accuracy and reliability of the computational process are given.
机译:我们描述了一种用于平滑和区分在圆柱坐标系中定义并以表格形式设置的实验测量磁场分布的算法。给出了用于在各种尺寸(3 x 3 x 3、5 x 5 x 5等)的阵列上进行磁感应的局部平滑和微分的公式。所获得的磁场分量服从麦克斯韦方程。考虑了平滑步骤最佳选择的原理,并给出了计算过程的准确性和可靠性的估计。

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