摘要
对磁性目标磁场延拓技术进行了研究,提出了一种基于积分方程法和奇异值分解的新方法.应用该方法只需要采用积分方程法对磁性目标的结构进行较为粗略的单元划分,利用目标下方大平面上的磁场测量值,得到相应的线性方程组.采用基于奇异值分解的截断奇异值方法和修正奇异值方法对该线性方程组进行正则化求解,可实现磁性目标磁场的三维磁场重建、向上或向下延拓.该方法较以前的方法,提高了磁性目标磁场延拓的精度和可靠性,并且解决了磁性目标磁场在一定范围内向上延拓的技术难题.
The continuation of magnetic field of magnetic object is studied, and a novel method based on integral equation method and singular value decomposition is presented. In the implementation of the new method, the magnetic object＇ s structure only needs to be coarsely partitioned as some elements by integral equation method, thus a linear system of equations can be obtained with the magnetic field measurements at a large plane below the magnetic object. The system of equations can be solved regularly by the truncated singular value decomposition technique and the modified singular value decomposition technique based on singular value decomposition, then the 3D magnetic fields reconstruction the upward and downward continuation of the magnetic object＇s magnetic field are realized. The precision and reliability of the new method are higher than the conventional ones ; especially, the difficulty of the upward continuation in certain ranges is surmounted.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2008年第7期4182-4188,共7页
Acta Physica Sinica
关键词
磁性目标磁场
延拓
积分方程法
奇异值分解
magnetic fields of magnetic object, continuation, integral equation method, singular value decomposition
