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A&A 448, 787–800 (2006) Astronomy DOI: 10.1051/0004-6361:20053516 & c ESO 2006 Astrophysics Performance study of ground-based infrared Bracewell interferometers Application to the detection of exozodiacal dust disks with GENIE O. Absil1,,R.denHartog2, P. Gondoin2,P.Fabry2,R.Wilhelm3, P. Gitton3, and F. Puech3 1 Institut d’Astrophysique et de Géophysique, Université de Liège, 17 Allée du Six Août, 4000 Sart-Tilman, Belgium e-mail: [email protected] 2 Science Payloads and Advanced Concepts Office, ESA/ESTEC, postbus 299, 2200 AG Noordwijk, The Netherlands 3 European Southern Observatory, Karl-Schwarzschild-Str. 2, 85748 Garching bei München, Germany Received 25 May 2005 / Accepted 2 November 2005 ABSTRACT Nulling interferometry, a powerful technique for high-resolution imaging of the close neighbourhood of bright astrophysical objets, is currently considered for future space missions such as Darwin or the Terrestrial Planet Finder Interferometer (TPF-I), both aiming at Earth-like planet detection and characterization. Ground-based nulling interferometers are being studied for both technology demonstration and scientific prepa- ration of the Darwin/TPF-I missions through a systematic survey of circumstellar dust disks around nearby stars. In this paper, we investigate the influence of atmospheric turbulence on the performance of ground-based nulling instruments, and deduce the major design guidelines for such instruments. End-to-end numerical simulations allow us to estimate the performance of the main subsystems and thereby the actual sen- sitivity of the nuller to faint exozodiacal disks. Particular attention is also given to the important question of stellar leakage calibration. This study is illustrated in the context of GENIE, the Ground-based European Nulling Interferometer Experiment, to be installed at the VLTI and working in the L band. We estimate that this instrument will detect exozodiacal clouds as faint as about 50 times the Solar zodiacal cloud, thereby placing strong constraints on the acceptable targets for Darwin/TPF-I. Key words. instrumentation: high angular resolution – instrumentation: interferometers – techniques: interferometric – circumstellar matter – planetary systems 1. Introduction The principle of nulling interferometry, first proposed by Bracewell (1978) and generalized by several authors (Angel The existence of extraterrestrial life in the Universe is a long- 1989; Léger et al. 1996; Angel & Woolf 1997; Karlsson & standing question of humankind. Future space missions such Mennesson 2000; Absil et al. 2003c), is to combine the light as Darwin (Fridlund 2000) or the Terrestrial Planet Finder collected by two or more telescopes in a co-axial mode, ad- Interferometer (Beichman et al. 1999; Lawson & Dooley 2005) justing their respective phases in order to produce a totally de- are currently being studied respectively by ESA and NASA structive interference on the optical axis. The interferometer to search for evidence of life on Earth-like exoplanets by is characterized by its transmission map Tλ(θ, φ), displayed in means of nulling interferometry (Bracewell 1978). These am- Fig. 1 for a two-telescope interferometer, in one arm of which bitious missions are particularly innovative from the technol- a phase shift of π radians has been introduced (Bracewell in- ogy point of view and demand several techniques to be first terferometer). Assuming that the field-of-view is limited by the tested on ground. Both ESA and NASA have therefore initiated diffraction pattern of a single telescope, its expression results studies for ground-based infrared nulling interferometers (or from the fringe pattern produced by the interference between “nullers”), to be installed respectively at the VLTI (Glindemann the beams, i.e., for a two-telescope interferometer: et al. 2004) or Keck Interferometer (Colavita et al. 2004). A cryogenic nulling beam-combiner is also under development πθ /λ 2 θ 2J1( D ) 2 B Tλ(θ, φ) = sin π cos φ , (1) for the LBT in the context of the NASA Origins Program πθD/λ λ (Herbst & Hinz 2004). where θ and φ are respectively the radial and polar angular co- O.A. acknowledges the financial support of the Belgian National ordinates with respect to the optical axis, B the interferometer Fund for Scientific Research (FNRS). baseline, D the telescope diameter and λ the wavelength. In the Article published by EDP Sciences and available at http://www.edpsciences.org/aa or http://dx.doi.org/10.1051/0004-6361:20053516 788 O. Absil et al.: Performance study of ground-based infrared Bracewell interferometers sequence stars up to 25 pc (Stankov et al. 2005), with median distances to these four stellar types of respectively 20, 20, 19 and 15 pc. Ideally, the survey should detect exozodiacal clouds about 20 times as dense as the Solar zodiacal cloud (“20-zodi” clouds hereafter). Based on the model of Kelsall et al. (1998), such clouds are typically 104 times fainter than the star in the L band (centered around 3.8 µm) or 103 times fainter in the N band (centered around 10.5 µm). The M band will not be considered in this study, because is too much affected by wa- ter vapor to be useful for nulling interferometry (Young et al. 1994). Besides this survey aspect, ground-based nullers have var- ious interesting scientific applications. Any target requiring both high dynamic range and high angular resolution will ben- efit from their capabilities, including the detection and char- Fig. 1. Monochromatic transmission map for a 47 m Bracewell in- acterization of debris disks around Vega-type stars, proto- terferometer formed of two 8-m telescopes. The interferometric planetary disks around Young Stellar Objects, high-contrast field-of-view, limited by the use of single-mode waveguides (see binaries, bounded brown dwarfs and hot extrasolar giant plan- Ω=λ2/ Sect. 3.3), is given by S with S the telescope surface. Its ets. Extragalactic studies may also benefit from ground-based diameter is respectively of 137 mas and 378 mas at the centers of the nulling through the characterization of dust tori around nearby L and N bands. The transmission map acts as a “photon sieve”: it AGNs. Ground-based nullers are extremely powerful at angular shows the parts of the field that are transmitted (white stripes) and those that are blocked (dark stripes, including the central dark fringe) diameter measurements as well: thanks to their very high sta- by the interference process. The whole transmitted flux is integrated bility, they could, for instance, detect pulsations in unresolved on a single pixel. stars that still produce a non negligible stellar leakage in the nulled data. In this paper, we estimate the performance of ground-based following study, we assume that recombination and detection infrared nulling interferometers for the detection of exozodia- are both done in the pupil plane, so that no image is formed: cal dust around typical Darwin/TPF-I targets. The structure of the flux is integrated on the field-of-view and detected on a sin- the paper follows the path of the light, beginning with the as- gle pixel. Performing the detection in an image plane would not trophysical sources and ending up after detection with the data significantly change the conclusions of this study. analysis procedures. In Sect. 2, we present the different con- Besides pure technology demonstration, ground-based tributors to the detected signals in ground-based nulling inter- nullers have an important scientific goal in the context of the ferometry. Section 3 then focuses on a particularly important Darwin/TPF-I missions, through the detection of faint circum- contributor (instrumental leakage), which strongly depends on stellar dust disks (“exozodiacal dust disks”) around nearby the turbulent processes taking place in the Earth’s atmosphere. main sequence stars. Such dust clouds may present a severe We will show that this stochastic contributor needs to be com- limitation to Earth-like planet detection with Darwin/TPF-I pensated in real time at the hardware level in order to reach the if they are more than 20 times as dense as the Solar zodia- required sensitivity. This has important consequences for the cal cloud (Absil 2001). A systematic survey of nearby main- design of a ground-based nulling interferometer, as discussed sequence stars is thus mandatory to select convenient targets in Sect. 4, where real-time control loops are addressed. After for these future space missions. Photometric surveys with in- passing though the instrument and being recorded by the de- frared space telescopes such as IRAS, ISO and Spitzer have tector, the signal still needs to be carefully analyzed in order to detected cold dust around nearby stars at a level of ∼100 times extract the useful exozodiacal contribution from the raw data. our Kuiper Belt, but did not allow the characterization of warm Section 5 describes the associated post-processing techniques. dust emission at a better level than about 500 times the Solar In all these sections, we will take a Sun-like G2V star at 20 pc zodiacal cloud (Beichman et al. 2005). Attempts to spatially re- as a typical target for illustrative purposes. Finally, these con- solve faint exozodiacal clouds with single dish telescopes in the cepts are applied in Sect. 6, where we derive the expected sensi- mid-infrared (Kuchner et al. 1998) and near infrared (Kuchner tivity of a specific instrument to the dust emission for different & Brown 2000) have not yielded better detection limits. Even types of targets in the Darwin star catalogue. the MIRI instrument onboard the future James Webb Space Telescope, equipped with coronagraphic devices at 10.6 µm and other longer wavelengths, does not have a good enough 2. Signals and noises in ground-based nulling angular resolution (∼330 mas) to detect warm dust within the interferometry habitable zone of Darwin/TPF candidate targets. 2.1. Exozodiacal dust disk Nulling interferometry, combining high dynamic range and high angular resolution, is particularly appropriate to carry out The Solar zodiacal cloud, a sparse disk of 10–100 µmdiame- this systematic survey of the Darwin/TPF-I candidate targets.