Gires-Tournois etalon

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In optics, a Gires-Tournois etalon is a transparent plate with two reflecting surfaces, one of which has very high reflectivity. Due to multiple-beam interference, light incident on the lower-reflectivity surface of a Gires-Tournois etalon is (almost) completely reflected, but has a phase shift that depends strongly on the wavelength of the light.

The complex amplitude reflectivity of a Gires-Tournois etalon is given by

r=\frac{r_1-e^{-i\delta}}{1-r_1 e^{-i\delta}}

where r1 is the complex amplitude reflectivity of the first surface,

\delta=\frac{4 \pi}{\lambda} n t \cos \theta_t
n is the index of refraction of the plate
t is the thickness of the plate
θt is the angle of refraction the light makes within the plate, and
λ is the wavelength of the light.

Gires-Tournois etalons are closely related to Fabry-Pérot etalons.

[edit] References

  • F. Gires, and P. Tournois (1964). "Interferometre utilisable pour la compression d'impulsions lumineuses modulees en frequence". C. R. Acad. Sci. Paris 258: 6112–6115. (An interferometer useful for pulse compression of a frequency modulated light pulse.)
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