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In the solid/liquid and liquid/solid scenarios, for the cases in which the P and S reflected waves are represented by complex amplitudes, we give the closed formulas for the Goos–Hänchen phase from which we can then determine the lateral displacements. We compare the results of the analysis done using the Zoeppritz equations with the calculations which appear in optics. We also discuss under which circumstances the plane wave analysis is valid and what happens for critical incidence, where divergences appear. For the liquid/solid interface, the incidence angles maximizing the lateral displacement are given as solutions of a polynomial equation.

Incidence Angles Maximizing the Goos–Hänchen Shift in Seismic Data Analysis