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从体等效原理出发得到用介质柱介电参数表示的体等效电流,并得到一个积分方程组求解散射问题.利用变分原理,对此方程组求变分,并化为矩阵方程组,消去含介质柱内总场变化的项,得到散射场变化与介质柱介电参数变化之间关系的矩阵方程.即反演方程.用算例检验此法的反演精度、收敛性能、多目标反演能力、抗噪声性能及利用不完备测量散射信息反演目标的能力.结果表明,此法是一种实用性很强的二维介质柱电磁成像方法.
From the equivalent principle of the bulk, the equivalent current of the bulk expressed by the dielectric parameters of the dielectric column is obtained and an integral equation is obtained to solve the scattering problem. Using the principle of variational principle, this system of equations is variationally divided and transformed into matrix equations, and the matrix field containing the change of the total field in the dielectric column is eliminated to obtain the matrix equation of the relationship between the change of the scattering field and the change of the dielectric parameters of the dielectric column. The inversion equation. A numerical example is given to verify the retrieval accuracy, convergence performance, multi-objective inversion ability, anti-noise performance and the ability of using incompletely measured scattering information to retrieve targets. The results show that this method is a practical two-dimensional media column electromagnetic imaging method.