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Fringe Tracker for the VLTI Sp ectro-Imager
Leonardo Corcionea , Donata Boninoa , David F. Busherb , Mario Gaia , Sebastiano Ligoria , Davide Loreggiaa , Giuseppe Masssonea and John S. Youngb
a b

Istituto Nazionale di Astrofisica ­ Osservatorio Astronomico di Torino, Strada Osservatorio, 20, 10025 Pino Torinese(TO) , Italy; Cavendish Laboratory ­ University of Cambridge, Cambridge, United Kingdom
ABSTRACT

The implementation of the simultaneous combination of several telescopes (from four to eight) available at Very Large Telescope Interferometer (VLTI) will allow the new generation interferometric instrumentation to achieve interferometric image synthesis with unprecedented resolution and efficiency. The VLTI Spectro Imager (VSI) is the proposed second-generation near-infrared multi-beam instrument for the Very Large Telescope Interferometer, featuring three band operations (J, H and K), high angular resolutions (down to 1.1 milliarcsecond) and high spectral resolutions. VSI will be equipped with its own internal Fringe Tracker (FT), which will measure and compensate the atmospheric perturbations to the relative beam phase, and in turn will provide stable and prolonged observing conditions down to the magnitude K=13 for the scientific combiner. In its baseline configuration, VSI FT is designed to implement, from the very start, the minimum redundancy combination in a nearest neighbor scheme of six telescopes over six baselines, thus offering better options for rejection of large intensity or phase fluctuations over each beam, due to the symmetric set-up. The planar geometry solution of the FT beam combiner is devised to be easily scalable either to four or eight telescopes, in accordance to the three phase development considered for VSI. The proposed design, based on minimum redundancy combination and bulk optics solution, is described in terms of opto-mechanical concept, performance and key operational aspects. Keywords: Optical/IR Interferometry, Fringe Tracking, Telescope instrumentation

1. INTRODUCTION
An international consortium has proposed to ESO the development of the VLTI Spectro Imager (VSI) (6 ), in the framework of the call for Phase-A study of second-generation VLTI instruments. VSI has been designed to provide spectrally-resolved near-infrared images at angular resolutions down to 1.1 milliarcsecond and spectral resolutions up to R = 12000, in the near infrared spectral range (J, H and K), on targets as faint as K = 13. These high level performances are for achieving unprecedent milliarcsecond-resolution images of a wide range of targets with an huge potential for breakthroughs in several astrophysics fields, e.g. probing the initial conditions for planet formation in the AU-scale environments of young stars, mapping the chemical and physical environments of evolved stars, stellar remnants and stellar winds, disentangling the central regions of active galactic nuclei and supermassive black holes, or imaging phenomena like convective cells on the surfaces of stars. VSI is designed to feature 4 main components (figure 1): the Science Instrument (SI), the Fringe Tracker (FT), the Common Path (CP) and the Calibration and Alignment Tools (CAT). Science Instrument (3 ) features beam combination using single mode fibers, an Integrated Optics (IO) chip and 4 spectral resolutions through a cooled spectrograph. The Common Path includes low-order adaptive optics aimed at only tip-tilt corrections. An internal optical switchyard allows to choose the best configuration of the VLTI co-phasing scheme in order to perform phase bootstrapping for the longest baseline on over-resolved ob jects. The VSI internal fringe Tracker (FT) performs measurements and corrections of the atmospheric perturbations to the relative beam phase, and locks fringes on the maximum contrast position, thus providing stable and prolonged observing conditions down to the magnitude K=13 for the scientific combiner.
Send correspondence to Leonardo Corcione: E-mail: corcione@oato.inaf.it, Telephone: +39 011 8101966


Figure 1. VSI system conceptual diagram.

In section 2, the foreseen in order concepts and key optical and on-sk

goals of the Fringe Tracker are described, together with the operational modes that are to reach them. After introducing the general concept underlying the FT, opto-mechanical aspects of the design are presented in more details. In section 3, expected performances, y sensitivity, are given.

2. VSI FRINGE TRACKER - OVERVIEW
VSI internal Fringe Tracker (FT) is required to co-phase at least four telescopes, with a possible extension to six and eight telescope arrays. VSI FT must ensure the optical path difference (OPD) compensation against atmospheric turbulence, relative to the combined beams in co-phasing and the coherencing regimes: cophasing mo de: the OPD error,associated to fringe phase fluctuations, is measured and fed back, in real time and at high speed, either to the OPD compensator internal to VSI or to the VLTI Delay Lines, in order to stabilize baselines down to a few tenths of working wavelength (e.g. /20), thus allowing on-chip integration on the scientific instrument over several atmospheric coherence times. coherencing mo de: the group delay (GD) error, i.e. the white light fringe position variation, is compensated in real time at lower speed, to keep fringes stable within a fraction of the coherence length (e.g. maintaining fringes in the coherence envelope with accuracy) and the fringe contrast to adequate levels to integrate fringes incoherently over minutes.


The fringe contrast and the associated Signal to Noise Ratio (SNR) on fringe phase are used to evaluate the relative optical path differences between beams, which are sent to the optical path control system in order to stabilize the internal optical paths. The FT is fed with photons from the same scientific source under analysis by the scientific combiner of VSI: the FT measures fringe parameters by H or K photons not in use to scientific instrument, and makes use of dispersed fringes over at least three sub-bands, for a proper implementation of both phase and group delay measurements. The FT beam combiner realizes the Minimum Redundancy Combination concept(2.1) so as to allow the usage of N baselines instead of the minimum N-1, and thus to link in a ring all the telescopes feeding the interferometer. The combined signals are spatially filtered by injection into optical fibres, which, in turn, transport the signal into a cryogenic dewar. Inside the dewar, a cryogenic spectrograph allows fringes to be measured simultaneously in a suitable number of adjacent spectral channels covering one complete spectral band, either H or K. The spectrograph light falls on the detector, the output of which is digitized and fed to the OPD servo, which executes the FT algorithms, computes the OPD error on all the measured baselines and feeds error signals to the internal fast OPD corrector and the VLTI delay lines. In subsections below, the proposed design, based on minimum redundancy combination and bulk optics solution, is described in more details concerning the opto-mechanical concept, its functional performances and critical design aspects.

Figure 2. VSI Fringe Tracker layout and footprint: six-beam combiner, fiber injection modules and cryostat


2.1 Minimum Redundancy Combination
The Minimum Redundancy Combination (MRC) uses pair-wise combination instead of an all-with-all combination (7 ). MRC combines each beam with the two neighbor beams, in order to provide as many complementary outputs as the number of beams in use, and to allow simultaneous phase estimates over the equivalent number of baselines. This is actually a redundant measurement, but the redundancy is minimal, as only one additional measurement is performed with respect to the minimum N - 1 value. This approach improves the robustness of the control system implementation at system level, in particular with respect to infrastructure and environment disturbances (e.g. local seeing in on-air delay lines or mechanical vibrations). Any occasional flux dropouts or large piston fluctuations on any of the beam can be in principle identified: the disturbance can be possibly factored out by appropriate algebraic composition of the error measurements over the available baselines, or the best possible operation of the interferometer, compatible with the observing condition, can be retained through the unaffected baselines. Moreover, because of the intrinsic symmetry among the combination pairs, all the measurements for all baselines are potentially comparable in terms of SNR. The optical configuration of the FT beam combiner, realizing MRC concept for six beams (i.e adopted baseline configuration for the VSI FT), results in planar arrangement of a suite (see Figure 2) of beam splitter (BS), beam combiner(BC) and plane reflecting mirrors, by which each entering beam is split into two parts and each half is combined with the light from the nearest-neighbor beam to form fringes. The minimum redundancy, i.e. the telescope ring closure, is obtained by superposing beams 1 and 6. The planar layout, beam angles, as well as the common beam splitting and beam combination arrangement, are preserved; beam 6 is folded by mirror M3 towards the position of beam 1 into the beam combiner, and the balance of the optical path between the two beams is achieved by introducing an internal optical delay system. Alternative implementations of the MRC concept are provided by Ligori et al., this conference (5 ).

2.2 Opto-mechanical layout
The FT beam combiner produces pairs of complementary outputs (180 degrees out of phase) and then it intrinsically implements the static "AC" measurement scheme. The planar geometry is arranged to allow low angles of incidence, order of 30 degrees, onto the beam splitter/beam combiner. This allows high-efficiency dielectric beamsplitter coatings to be used, and also means that the amplitude and phase differences between the S and P polarisations are small (typically less than 1% in amplitude). Thus unpolarized fringes can be formed with little loss in fringe contrast. Extension to the "ABCD" phase measurement approach, i.e. by four /4 spaced fringe samples, is achievable through temporal modulation of the fringe phase. To do this, the mirrors in Mirror Bank 1 are mounted on piezoelectric actuators and their positions are stepped by a quarter of a wavelength (at the central wavelength of the working band) in the middle of every exposure: by synchronizing the detector readout with the stepping of the piezos, AC and BD samples from both combiner outputs can be routinely acquired. Stepping the piezos rather than scanning them means that the fringes are not "smeared" during the detector integration time: this can cause a 10% loss in visibility when using a linear scan instead of a stepped scan. The size of this optical layout is a strong function of the beam-to-beam lateral spacing. The size shown in the diagram (Figure 2) is relative to "beam pitch" of 35mm; the whole footprint has been minimized assuming monolithic mounts for beamplitter, beamcombiner and mirrors. The chief advantages of this optical scheme are: 1. The telescopes are closed in a ring and all baselines are measured with minimum dilution of light 2. Minimum number of surfaces to introduce photon losses or wavefront distortion: each beam sees a total of two beamsplitters plus one reflection between the FT entrance and the dewar coupling optics 3. High-efficiency beamsplitter coatings can be used because of the low angles of incidence 4. The alignment of the system is straightforward, being a simple pairwise scheme 5. The system can be easily scaled for any number of beams


2.3 Spatial filtering
After the combination, the beams are focused onto mono mode fibers, which carry the interferometric spots directly into the cryostat. Although not strictly required after combination, the usage of single mode fibers is justified by several requirements. They provide high flexibility in the arrangement of beams into the cryostat. Then they act as a spatial filter, thanks to the matching of the central lobe of the Point Spread Function (PSF) of each beam coming from the beam combiner with the associated fiber core. Finally, previous experiences, such as Phase Referenced Imaging and Microarsecond Astrometry (PRIMA) FSU, showed that the use of cold fibres and optics in the cryostat can reduce the thermal background noise of at least one order of magnitude. Measurements in two bands require in principle two sets of fibre bundles, each tailored for operating bands (H or K). However, the use of a single set of mono-mode fibers for both operational bands appears also feasible and compatible with required performances. At system design level, the approach greatly relaxes the complexity of the signal routing towards the dewar, simplifies the configuration of relay optic for fiber injection, and also easies the implementation of working spectral band selection, which can be accomplished at software level (subsection 2.4 and 2.5). Either sharing a single set of K mono-mode fibre with H band or employing single mode H fiber for K band is feasible. The former is expected to introduce fluctuations of the H beam, because of the possible coupling of higher modes to the fundamental one; but the effect can be partially compensated or controlled at the level of camera spectrograph inside the cryostat by suited motorized cryogenic actuator for the accurate positioning of the fibers in front of the detector. The latter, being not properly optimized for the K PSF extension, introduces a marginal loss of coherent photons for the measurement in K band; but the equivalent reduction of the environmental background should eventually preserve the instrument performances.

2.4 Cold optics
Inside the dewar, fibres are properly aligned in front of a dispersive optics, which spectrally disperses spots over few, 3 to 5, pixels. The FT spectrograph preliminary layout consists of 5 spherical lenses plus a prims (Figure 3) built with very common IR glasses (Silica and ZnSe). The magnification is 0.6 and the system is considered telecentric. The fibres feeding the spectrograph are assumed to have a NA = 0.16 and the distance fiber-Lens1 is equal to 15mm.
10:10:21

13.16

MM

Design VSI-FT Camera

Scale:

1.90

26-May-08

Figure 3. FT cold optics layout

The evaluated values of the resulting spot diagram root mean square (rms) radius for each wavelength is


order of 7-9 microns, in agreement with the need to have the PSF mapped over the 18.5µm pixel size of HAWAII-1 detector, i.e. the selected detector for the VSI FT. The order of spectral dispersion needs careful assessment to make the tracking algorithm sensitive and reliable: the higher the resolution is, potentially the more sensitive the tracking algorithm is to large fringe jump; but with less photons in every spectral element and the fringe measurements are likely accomplished at reduced SNR. Still, the tracking control loop bandwidth also depends on the number of pixels to read (subsection 2.5). In the framework of PRIMA FSU like instrument configuration, provisional analysis -also based on reported atmospheric and optic transmissions, as well as on quoted detector quantum efficiencyshows how splitting the working band, either H or K, in five sub-bands makes available just three central wavelengths for efficient usage in the measurements (Figure 4: effective wavelengths at 2.02, 2.16 and 2.32µm for the K band case, with spectral resolution 35, 26 and 32 respectively). The signal is actually concentrated mostly in the three central sub-bands, and the nearby pixels receive a marginal fraction of the signal, which shall be further minimized during design optimization. The usage of three wavelengths for each band is the adopted baseline solution for the VSI FT operations, it allows a good trade-off between algorithm robustness and control loop bandwidth: adequate photon distribution among three bands allows measurements at high SNR for accomplishing cophasing (from photons falling in the central band) and coherencing (from photons from lateral bands); reduced number of pixels ensures fast readout speed and high control bandwidth. Assuming to arrange the spectral dispersion such that the whole H+K band of continuously distributed over 6 pixels, i.e. 3 pixel dispersion per band, a complete configuration requires to read at the most 72 detector pixels (twice for ABCD fringe wavelength selection is achievable at pixel processing level, e.g. clocking only pixels band, with no need of hardware reconfiguration inside and outside the dewar. each combiner output is scan for the six-telescope coding), and the working associated to the working

Figure 4. FT spectral response: 3 band case (left); 5 band case(right). The intrinsic optical dispersion is shown in solid lines; dispersions in dashed include transmission and source spectrum

2.5 Signal detection
Signals are properly mapped and processed, according to detector's pixel architecture, in order to allow measurements at high SNR and high speed. HAWAII-1 detector from Teledyne Imaging Sensors (former Rockwell) is the sensors selected for the VSI FT; the pixel array (1024x1024 pixels, 18.5µm in size) is arranged in 4 quadrants - 512x512 pixels in size, with independent outputs. The proposed linear, one dimensional configuration (Figure 5) of the spectrograph is mapped onto the quadrant architecture by focusing the complementary outputs -phase A and phase C signals- of the beam combiner onto two adjacent quadrants, i.e. 6 spectra per quadrant; spectra are distributed along a common pixel row, with a horizontal inter-spectra guard-gap, within a single quadrant, of few pixels, e.g. 3 pixel wide.


Reference pixel values (for effective data processing, e.g. bias subtraction) can be either taken from some -one or two- of the inter-band pixels, with negligible increase in readout time of one or two pixel time, or acquired in parallel from spare outputs with no increase in readout time. In the baseline configuration, with two bands and 3-pixel dispersion per band, six beams and six controlled baselines, and with the extension of the in-hardware AC fringe sampling to the ABCD measurement scheme through temporal modulation, a complete fringe scan involves 2 detector outputs and 36 pixels per output plus some reference pixels, but only half of them need to be read, accordingly to the band selection.

Figure 5. FT detection scheme by HAWAII-1 detector.

Tracking algorithm performance are set by sensors intrinsic features, as well as signal processing technique in use. Measurement SNR definitively depends on the adopted detector readout mode: CDS Mo de: In conventional Correlated Double Sampling (CDS) mode, the HAWAII-1 elementary readout noise (RON) is of 15 electrons rms at the maximum pixel sampling allowed rate of 500KHz. NDRO Mo de: Non-Destructive Readout(NDRO) technique is associated to multiple sampling of the signal along the detector integration ramp and to the linear fit of the collected signal points. If applied with
6 N number of samples, the technique reduces the effective RON by a factor of n(n-1) with respect (n+1) to the figure of the basic CDS scheme; with order of 100 samples, the effective RON, potentially achievable by HAWAII-1, is lower then 4-5 electrons. Depending on the number of samples involved, NDRO approach is eventually applicable to the FT in quite good atmospheric condition regimes (e.g. coherence time longer than 2 ms).

Concerning control loop bandwidth, a single readout sequence for the AC coding takes 72 micro-seconds, to read 72 pixels (H+K dispersed bands) equally divided between two parallel outputs; CDS mode needs twice those times, i.e. 144 µs at the maximum sampling rate HAWAII-1 allows. Allocating a convenient overhead for skipping the pixels of inter-band gap (about 1µs per gap, applicable only to the quadrant detector) and for dead time (e.g. one frame time, order of 100µs) for stepping the internal optical path, the maximum rate sustainable for a complete set of "ABCD" readings, i.e. the fringe tracking control loop bandwidth, is realistically close to 2KHz, which rises to 2.8KHz if the readout involves only the spectral channels associated to the selected working wavelength, i.e 18 pixels per output instead of 36.


The performance H and 6ms in K; modulator of the ultimately set by

is well compatible with reasonable values of the fringe coherence time, quoted as 4ms in it allows for a fringe sampling rate (equivalent to the 2-step modulation rate of the piezo FT beam combiner) from eight to twelve time faster the expected atmospheric fringe jitter, the weather conditions.

3. INSTRUMENT PERFORMANCE
The potential performance of the FT are analyzed taking into account instrumental factors and the current performance of VLTI. The instrumental contribution (i.e. system optical throughput, visibility loss, thermal background and detector noise) is evaluated considering the FT set-up described above; the contribution from components deployed along the VSI common path are also included in the overall instrument throughput.

3.1 FT optical throughput
For the evaluation of the optical throughput budget, a percentage of surface (2%), each transmissive component (1%), each beamsplitter for the detector quantum efficiency (60%), resulting in a total inter K band induced by optical surfaces. The other effects and the total Table 1. flux loss is estimated for each reflective (2% uncertainty on the flux division), nal loss of 55% in H band and 59% in system throughput are summarized in H 0,55 0,80 0,83 0,9 0,95 0,98 0,31 0,95 0,60 0,18 K 0,59 0,80 0,91 0,9 0,95 0,98 0,37 0,95 0,60 0,21

Wavelength Surface and transmission losses Spatial filtering coupling loss for 100% Strehl wavefront Spatial filtering coupling loss due to high-order WFE Reflection losses, fibre ends Coupling loss to spatial filter: tip/tilt misalignments Coupling loss to spatial filter: pupil misalignments System transmission Spectrograph-pixel coupling Detector QE FT total throughput
Table 1. FT optical throughput

3.2 FT limiting magnitude
Hereafter, the main factors affecting the Signal to Noise Ratio (SNR) and, in turn, the on-sky instrument performance are described and quantified in order to provide a provisional estimate of the operational limiting magnitude of the VSI FT, in context of VLTI. The SNR is computed in accordance to the formula below(4 ), assumed as common computational framework for VSI. SN R = N
2 AC

V

2 2 det

2 ph

(1)

+

NAC is the number of coherent source photons effectively employed in the fringe measurements, i.e. the modulated part of the fringe signal. In a pair-wise combination, it is formed by the correlation of the fraction of the beams coming from the two given apertures; assuming all apertures receive the same amounts of photons N, NAC = 2N . V is the system visibility, inclusive visibility loss from several effects, both observational, such as wavefront intensity mismatches due to optical misalignment). combiner, the overall degradation of fringe contrast unpolarised light. VLTI infrastructure. The visibility can be degraded by corrugations and piston jitter, and instrumental (e.g. From preliminary laboratory results on a prototype is conservatively quoted less than 5% in broadband


NDC is the number of incoherent photons due to the source, i.e. the signal continuum which is subtracted but contribute to the noise. It is the sum of all beams coming from contributing telescopes nT , i.e NDC = nT N , with nDC the number of telescopes contributing to the DC part: in a pair-wise combination nT = 2. The noise terms ph and the total read-out noise:
2 ph det

are respectively the photon noise from the source and the background, and +N )2 + 2(N +N )N
2 AC

= (N

DC

BG

DC

BG

V 2;



2 det

4 = 2n2 e . p

(2)

NB G is the number of background photons, e is the read-out noise per pixel and np is the number of pixel to be involved in the measurement. With respect to the SNR expression and computational framework it refers to, the involved quantities must be computed taking into account the instrumental parameters (subsection 3.1) and the details of implementation of the beam combination. In pair-wise nearest-neighbor combination scheme, each beam is split in two equal intensity fractions, then each measurement channel receives half the photons N collected by single aperture. Therefore, for the sake of the SNR computation, nT = 2, independently from the total number of telescopes combined, and = 1/2; then, NAC = N and NDC = N as well. The total number of pixels depends upon the details of fringe tracking algorithm implementation: for the ABCD coding with 3 spectral channels, the usage of the whole spectral band imposes to read three times the number of pixels involved into signal phase coding; so, the effective number of pixels to read is 12. The adopted RON figure is the one quoted for the HAWAII detector operated in CDS readout mode, i.e 15 electrons rms per read. The thermal background coming from the combination of the telescope, the sky backgr warm optics in the beam train can be modeled as a single blackbody at approximately 3.64 1015 photons/second/sr/m2 over the K band (2.04-2.37 µm). In the spatial filtering diameter D which is exactly matched to the first Airy ring of the diffraction limited spot that pupil, the beam ґtendue is given by e (1.22/D)2 (D/2)2 3.67
2

ound and all the 300 K, emitting regime by a fibre corresponding to (3)

In K band, effective wavelength 2.2µm, this translates to 6.9 104 photons/s in the system per beam. Photon flux at the entrance of the fringe tracker is computed starting from top atmosphere zero magnitude flux collected by the UT pupil, and assuming the reported VLTI performance: the VLTI relevant figures used in the evaluation are summarized in Table 2 (taken from ESO VTL Interface Control Document). Wavelength Zero-mag top atmosphere flux(UT case)[ph/s] Atmospheric transmission VLTI Strehl Ratio (MACAO, V=13) Strehl Ratio loss(21 mas tip/tilt residual) VLTI Throughput VLTI Visibility(0.5 ms piston jitter) VLTI Visibility(5 ms piston jitter) VLTI Visibility(10 ms piston jitter) H 1.52 10(11) 0.97 0.39 0.68 0.11 0.9 0.8 0.7 K 8.4 10(10) 0.90 0.47 0.81 0.12 0.95 0.9 0.8

Table 2. FT optical throughput

The resulting FT performance at VLTI with Unit Telescopes (8 meter diameter) are presented in Figure 6, where the achievable SNR in H and K band is shown as a function of the magnitude. The Table 3 summarizes the expected FT limiting figures in working bands and in operating regimes applicable to cophasing (Texp 1ms) or coherencing (Texp 5ms), at adequate SNR levels.


20 18 16 14 12
SNR TI = 10 ms TI = 5 ms TI = 0.5 ms

20 18 16 14 12
SNR TI = 10 ms TI = 5 ms TI = 0.5 ms

10 8 6 4 2 0

10 8 6 4 2 0

8

10

12

14

8

10

12

14

K magnitude [mag]

H magnitude [mag]

Figure 6. VSI Fringe Tracker SNR performance as a function of magnitude: horizontal line corresponds to SNR = 3

H T
exp

K SNR=3 7.9 8.5 10.2 10.8 SNR=5 8.0 8.7 10.4 10.9 SNR=3 8.5 9.2 10.9 11.5

[ms] 0.5 1.0 5.0 10.0

SNR=5 6.9 7.6 9.3 9.8

Table 3. FT Limiting magnitude in H and K

Coherent cophasing at 1 KHz rate is performable up the 8 mag in H and up to 9 in K; coherent coherencing, i.e. group delay tracking regime at 200Hz or lower rate(3rd and 4th row of table 3 above), can occur below the 10th mag in H, or on ob ject fainter than 11th mag in K. Fringe tracking at fainter magnitudes is potentially achievable through the incoherent coherencing, where the group delay is integrated incoherently over many coherent integrations, performed in starved photon regime. It is demonstrated that the group delay tracking is possible down to SNR values per integration of approximately 0.7 (1 ). A conservative performance estimate in photon starved regime can be obtained by the framework and provisions above: assuming 20 ms incoherent integration and a SNR=1, associated to the single coherent integration, the FT limiting magnitudes are roughly close to H=12.7 and K=13.2.

4. CONCLUSIONS
The VSI fringe tracker, based on the planar MRC concept and bulk optics solution, will allow VSI, and possibly also other VLTI 2nd generation instrumentation, to benefit of prolonged stable observational conditions up to the 8 mag in H band (or 9 mag in K), with stable fringes at sub- accuracy (co-phasing regime); while, the fringe stabilization in coherent mode is achievable, in acceptable atmospheric conditions, at one or two mag fainter. By an incoherent approach, as for instance by software numerical integration over short coherent exposures, VSI FT could operate on sources as faint as the 13th mag. The planar geometry solution of the VSI fringe tracker six-beam combiner is devised to be easily scalable either to four or eight telescopes, so as to support the foreseen development phase of the VLTI infrastructure; it also provides the very appealing capability to extend, by few changes in FT design, the dual-feed mode of PRIMA up to the eight-beam VLTI configuration, with two sets of four out of eight beams feeding the FT.


ACKNOWLEDGMENTS
We acknowledge the financial support of INAF - ref. 1478 (2005) for contributions to the FT lab prototype.

REFERENCES
[1 ] Busher, D. F., "Getting the most out of C.O.A.S.T.", PhD Thesis, University of Cambridge (1988) [2 ] Gai, M., Mnardi, S., Cesare, S., Bauvir, B., Bonino, D., Corcione, L., Massone, G., Reynaud, F., Wallander, A., "The VLTI fringe sensors: FINITO and PRIMA FSU", proc. of the SPIE workshop, ref. 5491-61, part one, pg. 528, Glasgow (UK) (2004) [3 ] Jocou L. et al., "System overview of the VLTI Spectro-Imager ", this conference, SPIE Astronomical Telescopes and Instrumentation, Marseille(FRANCE) (2008) [4 ] LeBouquin, J. B, "Imagerie par synth` e d'ouverture optique, application aux ґ oiles chimiquement pares et ticuli` es", PhD Thesis, University of Grenoble (2005) er [5 ] Ligori S., Gai M., Corcione L., Loreggia D., Massone G., "Multiple beam combination experiments for fringe tracking on next generation interferometers", this conference, SPIE Astronomical Telescopes and Instrumentation, Marseille(FRANCE) (2008) [6 ] Malbet, F. et al., "The VLTI Spectro-Imager", this conference, SPIE Astronomical Telescopes and Instrumentation, Marseille(FRANCE) (2008) [7 ] Ribak, E.N., Gai M., Loreggia D. and Lipson S.G., "A simple beam combination for stel lar interferometry", Optics Letters 32, 1075-7 (2007)