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用Levenberg-Marquardt法进行二维介质重构
Reconstruction of the Two-Dimension Inhomogeneous Media with a Levenberg-Marquardt Method
【摘要】 对于在TM柱面波、平面波简谐波照射下,接收装置采用线状、环状装置,在有约束和没有约束情况下的目标重构,从散射的积分方程出发,采用矩量法离散该积分方程,对所得的非线性方程组采用Levenberg-Marquardt方法求解,其中对正则化因子,即阻尼因子的选取采用修正的Feltcher算法。数值结果表明该方法可以减少求解方程组的病态性,具有较好的收敛性。比较数值仿真结果,给出二维介质重构的实验设置方法。
【Abstract】 The reconstruction of is obtained from the scattered integral equation based on the method of moment with pulse-basis function and point matching while the receiver distribution is the circular shape or linear one,the constraint is forced or not,the incident wave is cylindrical wave or plane wave.The integral equation is discretized by MOM,it is solved with Levenberg-Marquardt method and the damping factor is selected with the modified Feltcher algorithm.Numerical example shows the method possessed good convergence and can obtain good reconstruction results.In final the reconstruction configuration of a 2-D inhomogeneous object is given.
【Key words】 reconstruction; Feltcher algorithm; micro-wave imaging; non-linear equation;
- 【文献出处】 现代电子技术 ,Modern Electronics Technique , 编辑部邮箱 ,2008年06期
- 【分类号】TN015
- 【被引频次】1
- 【下载频次】104