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[tel-00726959, v1] Caractériser le milieu interstellaire ... - HAL - INRIA

[tel-00726959, v1] Caractériser le milieu interstellaire ... - HAL - INRIA

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E. Falgarone et al.: Extreme velocity-shears and CO on milliparsec sca<strong>le</strong> 357Tab<strong>le</strong> 1. Observation parameters. The projection center of all the data displayed in this paper is: α 2000 = 01 h 55 m 12.26 s , δ 2000 = 87 ◦ 41 ′ 56.30 ′′ .Mo<strong>le</strong>cu<strong>le</strong> Transition Frequency Instrument Config. Beam PA Vel. Resol. Int. Time NoiseGHz arcsec◦km s −1 hours K12 CO (J = 1−0) 115.271195 PdBI C&D 4.4 × 4.2 80 0.1 65.2/180 a 0.23 b115.271195 30m — 21.3 0 0.1 —/— 0.4013 CO (J = 1−0) 110.201354 30m — 22.3 0 0.1 —/— 0.19a Two values are given for the integration time: the 5 antennae array equiva<strong>le</strong>nt on-source time and the <strong>tel</strong>escope time.b The noise value quoted here is the noise at the mosaic phase center.<strong>tel</strong>-<strong>00726959</strong>, version 1 - 31 Aug 20122.1. ObservationsThe observations dedicated to this project were carried out in1998 and 1999 with the IRAM interferometer at Plateau deBure in the C and D configurations (baseline <strong>le</strong>ngths from 24 mto 161 m). One correlator band of 10 MHz was centered onthe 12 CO (J = 1−0) frequency to cover a ∼23 km s −1 bandwidthwith a channel spacing of 39 kHz, i.e. ∼0.1 kms −1 . Fouradditional correlator bands of 160 MHz were used to measurethe 2.6 mm continuum over the 500 MHz instantaneousIF-bandwidth then availab<strong>le</strong>.We observed a 13-field mosaic centered on α 2000 =01 h 55 m 12.26 s , δ 2000 = 87 ◦ 41 ′ 56.30 ′′ . The field positions followeda compact hexagonal pattern to ensure Nyquist samplingin all directions and an almost uniform noise over a large fractionof the mosaic area (see Fig. A.1 of Appendix A). The imagedfield-of-view is about a rectang<strong>le</strong> of dimension of 85 ′′ ×130 ′′ oriented at a position-ang<strong>le</strong> of 15 ◦ (because the (RA, Dec)PdBI field was se<strong>le</strong>cted in maps made in (l, b) coordinates).Polaris being a circumpolar source, this project was a goodtime-fil<strong>le</strong>r. It was thus observed at 22 different occasions, givinga total of about 180 hours of <strong>tel</strong>escope time with most often 3 or4 antennas and rarely 5 antennas. Taking into account the timefor calibration and data filtering this translates into on-sourceintegration time of useful data of 65.2 h for a full 5-antenna array.The typical 2.6 mm resolution of these data is 4.3 ′′ .Thedata used to produce the missing short-spacings are those of theIRAM key-program, fully described in F98 (see also Tab<strong>le</strong> 1).2.2. Data reductionThe data processing was done with the GILDASf 3 software suite(Pety 2005). Standard calibration methods imp<strong>le</strong>mented in theGILDAS/CLIC program were applied using close bright quasarsas calibrators. The calibrated uv tab<strong>le</strong>s were processed throughan Hanning filter which spectrally smoothed the data (to increasethe intensity signal-to-noise ratio) whi<strong>le</strong> keeping the same velocity/frequencychannel spacing.All other processing took place into the GILDAS/MAPPINGsoftware. Following Gueth et al. (1996), the sing<strong>le</strong>-dish mapfrom the IRAM-30m key program were used to create the shortspacingvisibilities not samp<strong>le</strong>d at the Plateau de Bure. Thesewere then merged with the interferometric observations. Twodifferent sets of uv tab<strong>le</strong>s (i.e. with and without short-spacings)were then imaged using the same method. Each mosaic field wasimaged and a dirty mosaic was built combining those fields in thefollowing optimal way in terms of signal-to-noise ratio (Gueth2001)∑J(α, δ) =iB i (α, δ)σ 2 i/ ∑F i (α, δ)iB i (α, δ) 2·3 See http://www.iram.fr/IRAMFR/GILDAS for more informationabout the GILDAS softwares.σ 2 iIn this equation, J(α, δ) is the brightness distribution in the dirtymosaic image, B i are the response functions of the i primaryantenna beams, F i are the brightness distributions of the individualdirty maps and σ i are the corresponding noise values.As may be seen in this expression, the dirty intensity distributionis corrected for primary beam attenuation, which makes thenoise <strong>le</strong>vel spatially heterogeneous. In particular, noise stronglyincreases near the edges of the field of view. To limit this effect,both the primary beams used in the above formula and the resultingdirty mosaics are truncated. The standard <strong>le</strong>vel of truncationis set at 20% of the maximum in MAPPING.Deconvolution methods were different for both data sets (i.e.with and without short-spacings). The dirty image of the PdBIonlydata was deconvolved using the standard Clark CLEAN algorithm.One spatial support per channel map was defined byse<strong>le</strong>cting positive regions on the first c<strong>le</strong>an image which was obtainedwithout any constraint. This geometrical constraint wasthen used in a second deconvolution. Whi<strong>le</strong> it can bias the result,this two-step process is needed when deconvolving interferometricobservations of extended sources without short-spacings.Indeed, the lack of short-spacings implies (among other things)a zero valued integral of the dirty beam and dirty image, whichin turn perturbs the CLEAN convergence when the source is extendedbecause the algorithm searches as many positive as negativeCLEAN components. The only way around is to guide thedeconvolution by the definition of a support where the signalis detected. On the other hand, the deconvolution of the combinedshort-spacings and interferometric uv visibilities can processblindly (i.e. without the possib<strong>le</strong> bias of defining a supportwhere to search for CLEAN components). This is what has beendone and the good correlation of the structures seen in the deconvolvedimages of the data with and without short-spacings(see Figs. 4 and 5) gives us confidence in our deconvolution ofthe PdBI-only data.The two resulting data cubes (with and without shortspacings)were then sca<strong>le</strong>d from Jy/beam to T mb temperaturesca<strong>le</strong> using the synthesized beam size (see Tab<strong>le</strong> 1). Final noiserms measured at the centered of the mosaic is about 0.23 K inboth data cubes.3. Observational results3.1. PdBI structures: sharp edges of extended structuresAt the adopted cloud distance of d = 150 pc, 1 ′′ correspondsto 0.75 mpc or 150 AU, so that the spatial resolution of thePdBI data is 3.2 mpc or 660 AU.The integrated emission detected with the PdBI is displayedin Fig. 2 (<strong>le</strong>ft panel), with the corresponding signal-to-noise ratio(right panel). The integrated emission covers most of themosaic area. This is no longer true when this emission is displayedin velocity slices (Fig. 3, top panels). Several distinctstructures are detected in addition to the bright CO peak, at

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