Hierarchical fringe tracker to co-phase and coherence very large optical interferometers
Romain G. Petrov, Abdelkarim Boskri, Yves Bresson, Karim Agabi,, Jean-Pierre Folcher, Thami Elhalkouj, Stephane Lagarde, Zouhair Benkhaldoun

TL;DR
This paper introduces a Hierarchical Fringe Tracker (HFT) for large optical interferometers, significantly improving fringe tracking capabilities and enabling observations of fainter objects by efficiently combining flux from multiple telescopes.
Contribution
The paper proposes a novel Hierarchical Fringe Tracker concept that enhances fringe tracking performance and extends the magnitude limit for large interferometers, with initial feasibility demonstrations.
Findings
HFT can achieve about 3 magnitudes gain over existing systems.
HFT performance does not decrease with increasing number of telescopes.
Feasibility demonstrated through computer simulations and prototype optical design.
Abstract
The full scientific potential of the VLTI with its second generation instruments MATISSE and GRAVITY require fringe tracking up to magnitudes K>14 with the UTs and K>10 with the ATs. The GRAVITY fringe tracker (FT) will be limited to K~10.5 with UTs and K~7.5 with ATs, for fundamental conceptual reasons: the flux of each telescope is distributed among 3 cophasing pairs and then among 5 spectral channels for coherencing. To overcome this limit we propose a new FT concept, called Hierarchical Fringe Tracker (HFT) that cophase pairs of apertures with all the flux from two apertures and only one spectral channel. When the pair is cophased, most of the flux is transmitted as if it was produced by an unique single mode beam and then used to cophase pairs of pairs and then pairs of groups. At the deeper level, the flux is used in an optimized dispersed fringe device for coherencing. On the…
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