An algebraic method for identification of dipoles and quadrupoles
An algebraic method for identification of dipoles and quadrupoles
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DOI：
10.1088/0266-5611/24/2/025010
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发表时间：
2008-04
期刊：
影响因子：
2.1
通讯作者：
T. Nara
中科院分区：
文献类型：
--
作者：
T. Nara
本文提出了一种无需初始参数猜测或迭代计算正解，由边界测量值重建二维空间偶极-四极位置和矩的代数算法。推导出极点位置基本对称多项式的二阶方程组。一个算法，将它们转换成三角形的形式示出，以便获得的极点位置代数。通过数值模拟验证了该算法的有效性。
This paper proposes an algebraic algorithm for reconstruction of dipole–quadrupole positions and moments in 2D space from the boundary measurements of the potential without providing an initial parameter guess or iterative computing forward solutions. A system of second-order equations is derived for the elementary symmetric polynomials of the pole positions. An algorithm to transform them into a triangular form is shown so that the pole positions are obtained algebraically. Numerical simulations are conducted to verify the algorithm.