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Absolutely and uniformly convergent iterative approach to inverse scattering with an infinite radius of convergence

机译:具有无限收敛半径的逆散射的绝对一致收敛迭代方法

摘要

A method and system for solving the inverse acoustic scattering problem using an iterative approach with consideration of half-off-shell transition matrix elements (near-field) information, where the Volterra inverse series correctly predicts the first two moments of the interaction, while the Fredholm inverse series is correct only for the first moment and that the Volterra approach provides a method for exactly obtaining interactions which can be written as a sum of delta functions.
机译:考虑到半脱壳过渡矩阵元素(近场)信息,使用迭代方法求解逆声散射问题的方法和系统,其中Volterra逆序列正确地预测了相互作用的前两个时刻,而弗雷德霍姆逆级数仅在第一时刻才是正确的,而沃尔泰拉方法提供了一种精确获取相互作用的方法,该方法可以写成增量函数的总和。

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