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Gires–Tournois etalon : ウィキペディア英語版
Gires–Tournois etalon
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 a Gires–Tournois etalon is (almost) completely reflected, but has an effective 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}
where ''r''1 is the complex amplitude reflectivity of the first surface,
:\delta=\frac 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 in vacuum.
== Nonlinear effective phase shift ==

Suppose that r_1 is real. Then |r| = 1, independent of \delta. This indicates that all the incident energy is reflected and intensity is uniform. However, the multiple reflection causes a nonlinear phase shift \Phi.
To show this effect, we assume r_1 is real and r_1=\sqrt, where R is the intensity reflectivity of the first surface. Define the effective phase shift \Phi through
:r=e^.
One obtains
:\tan\left(\frac\right)=-\frac}\tan\left(\frac\right)
For ''R'' = 0, no reflection from the first surface and the resultant nonlinear phase shift is equal to the round-trip phase change (\Phi = \delta) – linear response. However, as can be seen, when ''R'' is increased, the nonlinear phase shift \Phi gives the nonlinear response to \delta and shows step-like behavior. Gires–Tournois etalon has applications for laser pulse compression and nonlinear Michelson interferometer.
Gires–Tournois etalons are closely related to Fabry–Pérot etalons.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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