Incidence angles maximizing the Goos-Haenchen shift in seismic data analysis

Abstract

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-Haenchen phase from which we can then determine the lateral displacements. We compare the results of the analysis done by 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.

23 pages, 3 tables, 7 figures

References in corpus (9)

• Goos-Hänchen and Imbert-Fedorov beam shifts: An overview
• Weak measurement og the composite Goo-Haenchen shift in the critical region
• Observing angular deviations in light beam reflection via weak measurements
• Closed form expression for the Goos-Haenchen lateral displacement
• The oscillatory behavior of light in the composite Goos-Haenchen shift
• The asymmetric Goos-Hänchen effect
• Maximal breaking of symmetry at critical angle and closed form expression for angular deviations of the Snell law
• Axial dependence of optical weak measurements in the critical region
• Optimizing weak measurements to detect angular deviations

Cited by in corpus (4)

• Lateral shifts and angular deviations of Gaussian optical beams reflected by and transmitted through dielectric blocks: A tutorial review
• Correcting the formalism governing Bloch Surface Waves excited by 3D Gaussian beams
• Direct calculation of the strong Goos-Hänchen effect of a Gaussian light beam due to the excitation of surface plasmon polaritons in the Otto configuration
• The quaternionic Goos-Haenchen shift