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本文给出了一种改进的基于多方向多入射频率的平面波照射下的近区散射场的幅度测量值反演导体目标轮廓的逆散射方法。首先利用Newton-Kan-torovitch方法将耦合非线性积分方程组线性化,然后利用矩量法将其化为矩阵形式,为克服所得线性方程组的病态,采用了伪送方法。由于Newton类方法的收敛性严重地依赖于初值的选择,本文给出了一种求解基于优化最佳等效圆柱的初值选取方法。最后给出了部分数值结果,并利用数值结果讨论了各参数的选取对最后结果的影响,也考察了本方法的抗噪声性能,表明在加性Gauss噪声的情况下,在信噪比不低于27dB时,可得到较好的反演结果。
In this paper, an improved backscattering method is proposed to invert the target profile of the conductor based on the measurement of the amplitude of the near-field scattering field under the plane wave irradiation with multi-directional and multi-incidence frequencies. Firstly, the coupled nonlinear integral equations are linearized by the Newton-Kan-torovitch method and then transformed into a matrix form by the method of moment. In order to overcome the ill-posedness of the linear equations obtained, a pseudo-method is adopted. Since the convergence of the Newton class method depends critically on the choice of initial values, this paper presents a method of initial value selection based on optimizing the best equivalent cylinders. Finally, some numerical results are given, and the numerical results are used to discuss the influence of the parameters on the final results. The anti-noise performance of this method is also investigated. It shows that under the condition of additive Gauss noise, At 27dB, better inversion results are obtained.