声点源散射三维物形的全孔径和有限孔径近场重构问题

研究了仅从声点源散射场在有限个测量点的近场信息，再现三维障碍物形状的反问题，，基于将散射场在有限下测量点处的近场信息作加权合成的思想，提出了这类反问题的一个非线性最优化求解方法，基于全孔径和有限孔径近场数据的数值结果表明，在波数较小的情况下，这一方法既有效又实用。

Full and Limited Aperture Problem for 3-D Shape Reconstruction from Near-Field Data under Acoustic Point Source Scattering

This paper dealt with an inverse problem to recovery the shape of a three dimensional obstacle from the near field measurements of the scattered waves at a finite number of observation points over some closed surface containing the obstacle in its interior. A nonlinear optimization method was presented for solving this problem which is based on a superposition technique of the near field measurements of the scattered waves at a finite number of observation points. Some numerical examples were presented with the full and limited aperture near field measurements where it is shown that the inversion scheme is very efficient and practical for low wavenumbers.