3-D Forward and Inverse Scattering Analyses for Cavity in Viscoelastic Media Using Convolution Quadrature Time-Domain Boundary Element Method

In this research, forward and inverse scattering analyses for a cavity in 3-D viscoelastic media are presented. After the formulation for a forward analysis using the convolution quadrature time-domain boundary element method (CQBEM) for 3-D viscoelastodynamics is discussed, a linearized inverse scattering analysis based on the Born approximation for a cavity in 3-D viscoelastic media is introduced. The scattered wave forms in time-domain obtained by the CQBEM are transformed into those in frequency-domain, and their transformed data are utilized to reconstruct a cavity in 3-D viscoelastic media. Some numerical results for a cavity obtained by these forward and inverse scattering analyses are shown to validate the proposed methods.

Automated summary

This research presents forward and inverse scattering analyses for a cavity in 3-D viscoelastic media. The scattered waveforms obtained by CQBEM in the time domain are transformed into frequency-domain waveforms, which are then used to reconstruct a cavity in 3-D viscoelastic media. Numerical results are shown to validate the proposed methods.