Consider two TE plane waves undergoing total internal reflection at angles theta

Question

Consider two TE plane waves undergoing total internal reflection at angles theta and theta + d theta, where d theta is an incremental angle. If the phase retardation introduced between the reflected waves is written in the form d phi = xi d theta, find an expression for the coefficient xi. Sketch the interference patterns of the two incident waves and the two reflected waves and verify that they are shifted by a lateral distance proportional to xi. When the incident wave is a beam (composed of many plane-wave components), the reflected beam is displaced laterally by a distance proportional to xi. This is known as the Goos-Hanchen effect.

Explanation / Answer

It is very easy question.
I am giving two links which helps you to understand the Goos–Hänchen effect.

1) http://www.scholarpedia.org/article/Goos-H%C3%A4nchen_effect

2) http://pages.uoregon.edu/noeckel/gooshanchen/

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