Abstract

This talk concerns the reconstruction of multiple elastic parameters of an inhomogeneous medium embedded in an infinite homogeneous isotropic background in R^2 . The direct scattering problem is reduced to an equivalent system on a bounded domain by introducing an exact transparent boundary condition and the well-posedness of the corresponding variational problem is established. The Fr\'echet differentiability of the near-field scattering map is studied with respect to the elastic parameters. Based on the multifrequency measurement data and its phaseless term, two Landweber iterative algorithms are developed for the reconstruction of the multiple elastic parameters. Numerical examples, indicating that plane pressure incident wave is a better choice, are presented to show the validity and accuracy of our methods.

Short bio

曾芳，博士，重庆大学数学与统计学院副教授，多年来一直从事反散射问题相关的理论分析及数值解法研究，在声波，电磁波及弹性波的反散射方面取得了一系列的研究成果。