Goos-Hanchen effect and polarization

[Jurij]

How polarization influence Goos-Hanchen effect? I googled it but I didn't find it.

 

[Claude Bile]

The Goos-Hanchen shift is different for P and S polarised waves because the shift is derived from the Fresnel equations for the reflection coefficient.

For a full treatment, I suggest looking up a textbook, any book on optics 2nd year level and above should suffice.

Claude.

 

[R0man]

The Goos-Hanchen effect is a phenomenon in optics where a light beam undergoes a lateral displacement when it reflects off the interface of two media. This displacement is dependent on the angle of incidence and the polarization of the incident light.

Polarization refers to the direction in which the electric field of a light wave oscillates. It can be either linear, circular, or elliptical. The polarization of the incident light can affect the intensity and phase of the reflected light, which in turn can influence the Goos-Hanchen effect.

When the incident light is linearly polarized, the Goos-Hanchen displacement is maximum at the Brewster angle, where the reflected light is completely polarized in the same direction as the incident light. At other angles of incidence, the reflected light is partially polarized, leading to a smaller Goos-Hanchen displacement.

Circularly polarized light can also produce a Goos-Hanchen displacement, but it is dependent on the handedness of the polarization. Right-handed circularly polarized light will produce a displacement in one direction, while left-handed circularly polarized light will produce a displacement in the opposite direction.

In conclusion, polarization plays a crucial role in influencing the Goos-Hanchen effect. The angle of incidence and the type of polarization of the incident light can significantly affect the magnitude and direction of the lateral displacement of the reflected beam.