Inverse scattering in multilayer inverse problem in the presence of damping

An inverse problem arising from recovery of wavespeed for a one-dimensional problem in a medium with constant background wavespeed in the presence of damping is discussed. Our method is based upon Born's approximation and the assumption that wavespeed and damping are well approximated by the background speed plus a perturbation term. An approximate form of Green's function for seismic data is used to derive the inversion formula. The procedure is then implemented on a medium which has two layers over which the wavespeed changes due to change in the physical properties.