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Gires–Tournois Interferometers

Acronym: GTI

Definition: linear optical resonators used for introducing chromatic dispersion

More general terms: interferometers, optical resonators

German: Gires-Tournois-Interferometer

Categories: article belongs to category optical resonators optical resonators, article belongs to category photonic devices photonic devices, article belongs to category light pulses light pulses


Cite the article using its DOI: https://doi.org/10.61835/zgy

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A Gires–Tournois interferometer is an optical standing-wave resonator similar to a Fabry–Pérot interferometer, which however is operated in reflection and with the purpose of generating chromatic dispersion. The front mirror is partially reflective, whereas the back mirror has a high reflectivity. If no losses occur in the resonator, the power reflectance is unity at all wavelengths, but the phase of the reflected light is frequency-dependent due to the resonance effect, causing chromatic dispersion. The phase change of reflected light and the dispersion (including group delay dispersion and higher-order dispersion) change periodically with the optical frequency, if material dispersion is negligible. There is no second-order dispersion exactly on-resonance or anti-resonance, and positive or negative dispersion between these points.

Figure 1: Schematic setup of a Gires–Tournois interferometer.

Ideally, a GTI is operated near a maximum or minimum of the GDD, and the usable bandwidth is some fraction (e.g. one-tenth) of the free spectral range, which is inversely proportional to the resonator length. In the time domain, an optical bandwidth well below the free spectral range implies that the pulse duration needs to be well above the round-trip time of the GTI. The maximum magnitude of GDD scales with the square of the resonator length.

Tunable dispersion can be obtained with a variable air gap between the mirrors, which however must be carefully stabilized to avoid unwanted drifts. More stable but in general not tunable GDD can be generated with monolithic designs, based e.g. on thin films of dielectric media such as TiO2 and SiO2, particularly for use in femtosecond lasers.

dispersion of a GTI
Figure 2: Wavelength-dependent group delay dispersion of a GTI made of a 5-μm thick silica layer on a high reflector.

The diagram has been made with the software RP Coating.

The main drawbacks of the GTI are the fundamentally limited bandwidth (proportional to the square root of the given magnitude of GDD) and the limited amount of control of higher-order dispersion. Dispersive mirrors with significantly broader optical bandwidth can be designed as chirped mirrors.

More to Learn

Encyclopedia articles:


[1]F. Gires and P. Tournois, “Interferometre utilisable pour la compression d'impulsions lumineuses modulees en frequence”, C. R. Acad. Sci. Paris 258, 6112 (1964)
[2]B. Golubovic et al., “Double Gires–Tournois interferometer negative-dispersion mirrors for use in tunable mode-locked lasers”, Opt. Lett. 25 (4), 275 (2000); https://doi.org/10.1364/OL.25.000275
[3]Analysis of a GTI with the RP Coating software

(Suggest additional literature!)

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