三分量磁场延拓的递推算法
Iterative Method for Continuation of Three-component Magnetic Field
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摘要: 提出一种三分量磁场延拓的递推算法,主要目的是解决三分量磁场的向下延拓问题.应用微分学基本原理,将具有相同水平坐标,不同垂向坐标的点上的三分量磁场,通过磁场的垂向偏导数的积分联系起来.根据磁场向量散度和旋度的性质,将磁场的垂向偏导数与水平方向的偏导数联系起来.这样,在已知一个平面上的磁场时,可以通过递推的办法逐层求取该平面以下任意平面上的三分量磁场.应用实例证明方法的快速性和准确性.Abstract: An iterative continuation method for three-component magnetic field is presented.It aims at downward continuation of three-component magnetic field.The fields on those points with same horizontal coordinates are related by differential calculus.As divergence and rotation of three-component magnetic field are taken into consideration,vertical derivatives can be described with horizontal derivatives.As three-component magnetic field on an upper plane is known,magnetic fields on lower planes can be computed with an iterative procedure.Efficiency and accuracy are illustrated by applications.
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