The fringe tracker system of the ASSI (Active Stabilization in Stellar Inte
rferometry) beam combining table at the I2T interferometer is described and
its performance evaluated. A new real-time algorithm for the optical path
difference (OPD) measurement is derived and validated. It is based on a sin
usoidal phase modulation whose amplitude is optimized. It also allows autom
atic fringe detection at the beginning of an observation when scanning the
OPD. The fringe tracker servo-loop bandwidth is adjusted by a numerical gai
n and ranges between 20 and 50 Hz in the reported experiments. On stars, fr
inge-locked sequences are limited to 20 s due to fringe jumps. However, the
fringe tracker is able to recover the coherence area after a few seconds.
Such a fringe tracker operation can last more than one hour. A fringe track
ing accuracy of 85 nm is achieved for visibility ranging between 7 and 24%,
a turbulence coherence time of approximately 9 ms at 0.85 mum, a Fried par
ameter of around 14 cm at 0.5 mum and an average light level of 100 000 pho
toevents/s, (typically visual magnitude 2 in the conditions of the experime
nt). Visibility losses are evaluated and are found to be mainly due to turb
ulent wavefront fluctuations on the tao telescopes and to the static aberra
tions of the optical train. The measurements of OPD and angle of arrival ar
e reduced to derive turbulence parameters: the coherence time, the average
wind speed, the Fried parameter and the outer scale. Our estimations for th
e outer scale range between 20 and 120 m: with an average value of the orde
r of 40 m. Both OPD and angle of arrival data, obtained on 15 m baseline an
d a 26 cm telescope diameter respectively, are fully compatible with the sa
me modified Kolmogorov spectrum of the turbulence, taking into account a fi
nite outer scale.