Maintien du couplage optique entre une ECDL et une cavité de haute finesse : application à la mesure ultrasensible de biréfringence induite par effet Kerr

The context of the work is the ultra-sensitive measurement of phase anisotropy permits by well-used of very high finesse cavity. To stabilize the laser frequency at the exact resonance of one cavity mode, a servo control based on optical feedback is used.In the first part, the optical coupling between laser and cavity is described through the comportment of the frequency of the self-locked laser. A comparison between experience and theory has permitted to identify the error signals in order to keep enduringly the laser frequency at the exact resonance. The experimental realization of the servo control into a 3 000 finesse cavity had demonstrated the stabilization of the laser frequency during more than ten hours with a residual one second excursion of 375 Hz.In the second part, the previous development has been used with a very high finesse cavity (F=250 000) to measure static Kerr birefringence in gases. The originality of the set-up is the use of the residual high reflectivity mirrors birefringence, firstly as the source of the optical feedback and secondly as an optical bias to measure the weak gas birefringence. An experimental and theoretical study of the noise according to the value of the optical bias has permitted a photon noise limited measurement (laser intensity of few mW). A record sensitivity of the phase shift induced by Kerr effect has been demonstrated at 3.10-13 rad with 800 s integration time. The scheme has been used to measure, in weak electric field (