基于无相位近场的非线性积分方程方法重构粗糙曲面
Reconstructions of a Rough Surface Based on a Nonlinear Integral Equation Method from Phaseless Near-Field Data
摘要: 本文研究第三类边界条件无穷粗糙曲面反散射问题。入射场ui选取不同位置点源叠加的形式，点源打到散射曲面上产生散射场us，因此测量得到无相位近场|u|(|u|=|ui+us|)，于是我们利用无相位近场的非线性积分方程方法重构无穷粗糙曲面的位置和形状。该算法的有效性通过数值算例实现。
Abstract: This paper studies the inverse scattering problem of infinite rough surfaces with boundary condition of the third kind. The incoming field ui is taken as a sum of different position source points shooting at the scattering surface, which induces the scattered field us. Then we reconstruct infinite rough surfaces by a nonlinear integral equation method from the phaseless near field |u|(|u|=|ui+us|). Numerical examples are presented to show the effectiveness of the inverse algorithm.
文章引用：李莉莉. 基于无相位近场的非线性积分方程方法重构粗糙曲面[J]. 应用数学进展, 2022, 11(1): 359-369. https://doi.org/10.12677/AAM.2022.111044

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