求解声点源散射物形重构问题的一个新方法
A new algorithm for solving the shape reconstruction problem under acoustic point source scattering
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摘要: 研究了从声点源散射的近场信息再现散射体物形的一类逆问题。提出了数值求解这类问题的基于求解一个不适定的线性积分方程及一个适定的非线性最优化问题的分离式两步算法。数值结果表明了本算法对任意形状的二维散射体均能得到很理想的效果.Abstract: The body shape reconstruction problem with the knowledge of the acoustic near-field data under acoustic point source scattering is solved with a newly developed algorithm, which decomposes the original problem into the problems of solving an ill-posed linear integral equation and a well-posed nonlinear optimization problem. Numerical examples for two-dimensional scatters with arbitrary shape are given to show that the inversion scheme does efficiently produce very good results.