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本文给出了一种由已知的散射场数据重建二线非均匀有耗目标的复介电常数的迭代算法。由积分方程出发，利用点匹配技术导出了依赖于未知参数的解析逆散射公式。由此可以以解析的形式计算场量对未知参数的导数（Jacobian和Hessian矩阵）。本文采用Newton优化方法迭代末解道散射问题，具有二次收敛特性。为了克服逆散射中解的不适定性，连续采用多个方向的TM波照射目标，并采集目标区域外的散射场数据，以及采用共轭梯度法（CGM）求解逆问题．数值结果表明了本文所提方法的可行性和灵活性。
This paper presents an iterative algorithm for reconstructing the complex permittivity of second-order nonuniformly dissipative targets from known scattering field data. Starting from the integral equation, a point-matching technique is used to derive the analytic inverse scattering formula that depends on unknown parameters. As a result, the derivatives of the field quantities for unknown parameters (Jacobian and Hessian matrices) can be calculated analytically. In this paper, the Newton optimization method is used to iteratively solve the problem of unscathed solution with quadratic convergence. In order to overcome the ill-posedness of the solution in inverse scattering, a series of consecutive TM waves were used to illuminate the target and the scattering field data outside the target region were collected. The inverse problem was solved by the conjugate gradient method (CGM). Numerical results show the feasibility and flexibility of the proposed method.