We investigate a globally convergent method for solving a one-dimensional inverse medium scattering problem using backscattering data at a finite number of frequencies. The proposed method is based on the minimization of a discrete Carleman weighted objective functional. The global convexity of this objective functional is proved.

中文翻译：

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逆介质散射问题中离散Carleman加权目标函数的凸性

我们研究了使用有限频率的反向散射数据解决一维逆介质散射问题的全局收敛方法。所提出的方法是基于最小化离散卡尔曼加权目标函数的。证明了该目标函数的全局凸性。