Inverse problem for the Rayleigh system with spectral data

We analyze an inverse problem associated with the time-harmonic Rayleigh system on a flat elastic half-space concerning recovery of Lamé parameters in slab beneath traction-free surface. employ Markushevich substitution, while data are captured Jost function, and we point out parallels corresponding for Schrödinger equation. The function can be identified spectral data. derive Gel’fand-Levitan type equation obtain uniqueness two distinct frequencies.