Identification of Microstructured Materials by Phase and Group Velocities

Abstract

An inverse problem to determine parameters of microstructured solids by means of group and phase velocities of wave packets is studied. It is proved that in the case of normal dispersion the physical solution is unique and in the case of anomalous dispersion two physical solutions occur. Numerical tests are presented.

Periodic Waves in Microstructured Solids and Inverse Problems

“…This model was later adjusted to Rayleigh waves [7] (see also related works [6] and [3]) and approximated by a Boussinesq-type equation [4]. In the linear case the Rayleigh waves as well as packets of harmonic waves are informative in the sense of the inverse problems to determine physical parameters [7,9,10,11].…”