Time Delay in Goos-Hänchen Effect · RMPH 2018 #B2.5.2

Physics · electromagnetism

Problem

An alternative explanation of the Goos – Hänchen shift can be given in terms of the time delay associated with the scattering of a radiation pulse at the interface. The incident radiation pulse is not scattered instantaneously by the surface, but reemerges into medium 1 after a time delay τ\tau, during which the pulse propagates parallel to the surface and is displaced by the distance ss. Derive the mathematical expression for the time delay τ\tau and calculate its value if the first medium is glass (n1=1.6)(n_1 = 1.6), the second is air (n2=1.0)(n_2 = 1.0), the incidence angle of light is θ1=40°\theta_1 = 40°, and the monochromatic radiation has the wavelength 579.1 nm. The light speed in vacuum is c=3.0×108c = 3.0 \times 10^8 m/s.

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