A new closed analytical solution for the elastodynamic half-space Green’s function

Abstract The elastodynamic half-space Green’s function has been the subject of research for more than a century since Lamb’s classical solution. Here, we revisit problem and present new closed analytical solution, in frequency domain, based upon Principle Equipartition (EQP) Energy. This principle asserts that imaginary parts tensor components equal average cross-correlations fields generated by uniform incidence P S body waves Rayleigh surface with amplitudes weighted partition factors. real part is Hilbert transform part. We validate our results comparing synthetic seismograms well-known solutions buried forces discuss implications this Constructing diffuse first step identifying them nature. Graphical