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HAL Id: hal-00159129

https://hal.archives-ouvertes.fr/hal-00159129

Submitted on 2 Jul 2007

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SPECTRUM INTERPOLATOR FOR THE ELODIE

LIBRARY

Philippe Prugniel, Mina Koleva, P. Ocvirk, Damien Le Borgne, C. Soubiran

To cite this version:

Philippe Prugniel, Mina Koleva, P. Ocvirk, Damien Le Borgne, C. Soubiran. SPECTRUM

INTER-POLATOR FOR THE ELODIE LIBRARY. Astronomical spectroscopy and the Virtual Observatory,

Madrid (Spain), March 21-23, 2007, 2007, Madrid, Spain. pp.219. �hal-00159129�

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SPECTRUM INTERPOLATOR FOR THE ELODIE LIBRARY

Ph. Prugniel1, M. Koleva1,2, P. Ocvirk2, D. Le Borgne3, and C. Soubiran3 1CRAL-Observatoire de Lyon, Universit´e de Lyon, CNRS UMR574, France

2CEA, Saclay, France 3Observatoire de Bordeaux, France

2Sofia University, Bulgaria

ABSTRACT

We present a service, registered in the Virtual Observa-tory, to produce spectra at any desired effective temper-ature, surface gravity and metallicity using a library of spectra observed with the ELODIE spectrograph. This interpolator is noticeably used to generate grids for stellar population synthesis with the PEGASE.HR code Le Borgne et al. (2004). It can also be used to determine the atmospheric parameters of stars.

Key words: Virtual Observatory.

1. STELLAR LIBRARIES & POPULATION

SYN-THESIS

To study the stellar population of galaxies one compares observed spectra to models. These models, meant to rep-resent the real stellar populations, consist of linear com-binations of stellar spectra accounting for the importance of each class of stars for the considered age, metallic-ity and other characteristics of the considered population. The essential steps of population synthesis are:

1. Assemble a library of stellar spectra covering all the desired range of atmospheric parameters. It can be either from observed spectra of from modeled spec-tra. Until now the synthetic atmospheres are not good enough to match real observations, but their quality improves and some fundamental reasons re-quire that they will become prominent in the future. Present important observed libraries are ELODIE (Prugniel & Soubiran, 2001; Prugniel et al., 2007), CFLIB (Indo-US; Valdes et al. (2004)) and Miles (Sanchez-Blazquez et al., 2006). The best theoreti-cal libraries are Coelho et al. (2005) and Munari et al. (2005).

2. Interpolate the spectra over this library in order to produce spectra at the node of a grid used by the synthesis program.

3. Use a synthesis program which determines from stellar evolution models (evolutionary tracks), Initial Mass function, Star formation and metal enhance-ment history how to combine the stellar spectra. An example of synthesis program is PEGASE.HR (Le Borgne et al., 2004), which is available as a service of the VO (see in VOspec, or search the register-ies). Other examples are Galaxev (Bruzual & Char-lot, 2003) and Vazdekis/Miles (In preparation1).

2. INTERPOLATING THE SPECTRA

For population synthesis, we need to generate spectra at any point of a 3D grid in temperature, surface gravity and metallicity. Different methods exist: pick the near-est neighbour, apply a gaussian kernel smoothing or use piecewise polynomials. The first two methods generate biases linked to the distribution of the observed stars in the parameters space.

For example, to generate a model at sub- or super-solar metallicity, Galaxev choose the stars having the clos-est metallicity in the library. But, since this library of only 200 stars has a distribution strongly peaked at solar metallicity, the nearest stars are systematically in average closer to solar than the targeted metallicity. See Fig. 1. The last method generates also systematics due to the usage of a non-physical parametric representation of the spectra, but with the new large libraries they are limited to acceptable levels. This method produces an interpolator, which is a smooth function of temperature, metallicity and gravity:

S(λ) = Interpolator(Tef f, log g, [Fe/H], λ) (1)

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2

Figure 1. Inversion of Galaxev (BC03) with Pegase-HR models. Each vector represents an individual inversion. The dot points the location of the nominal characteristics of the population and the end of the vector the character-istics returned by the analysis procedure. This illustrate the importance of the interpolator: The BC03 usage of a small stellar library of mostly stars of solar metallicity, produces strong biases of the models toward solar metal-licity.

Where S is the resulting interpolated spectrum.

Comparisons made between different models using these different methods show an acceptable consistency (Kol-eva et al., 2007), but direct comparisons between the in-terpolators are not possible because their codes is not publicly available.

The interpolator over a grid of observed spectra has other applications than population synthesis, noticeably

stellar classification and determination of atmospheric parameters: A non-linear fit of an observed spectrum against Interpolator(Tef f, log g, [F e/H], λ) leads to a

determination of Tef f, log g and [Fe/H].

3. DESCRIPTION OF THE SERVICE

There are two reasons to provide the interpolator as a sep-arate service in the VO. (1) It opens the possibility to test the individual ingredients of the population synthesis, and (2) it has other applications like the determination of at-mospheric parameters or creation of mock observations to assist instruments design.

The present service is the online version of the interpola-tor described in Le Borgne et al. (2004) and used for PE-GASE.HR. It is based on piecewise polynomials in tem-perature, gravity and metallicity, somehow similar to the classical fitting functions used for Lick indices. In the future, we will also provide the interpolators for the up-dated version of the ELODIE library as well as for the other empirical and theoretical libraries.

The service is registered in the VO as a SSA (or Theoret-ical Spectrum Access), and can be used through VOspec.

The access to such modeling services through the Virtual Observatory offers several advantages:

• Codes requiring voluminous external resources, in-tensive computations or complex installation may advantageously be used as a remote service. • Standardization of access methods and of output

data-models and format is an important contribution toward the modularity of complex procedures. • Some individual tasks involved in a specific

com-plex procedure may be relevant to other applica-tions, as the present interpolator can be used for stel-lar physics. The VO provides an appropriate frame-work for distributing these atomic services.

The present SSA IVOA standard is not sufficient to im-plement this service. We used the definition of the FORMAT=METADATA request introduced by P. Osuna in the VOSpec client. The service is not entirely based on standards and is therefore a prototype.

ACKNOWLEDGMENTS

Ph. Prugniel acknowledges the support from VO-France. The service is build with the Pleinpot software. Isa Barbarisi helped us for the implementation of the FORMAT=METADATA SSA request.

REFERENCES

Bruzual, G., Charlot, S. 2003 MNRAS 344, 1000 Coelho, P., Barbuy, B., Melendez, J., Schiavon, R. P., Castilho, B. V. 2005 A&A 443, 735

Koleva, M., Prugniel, Ph., Ocvirk, P., Le Borgne, D., Chilingarian, I., Soubiran, C. 2007, IAUS 241, arXiv:astro-ph/0703127

Le Borgne, D., Rocca-Volmerange, B., Prugniel, P., Lanc¸on, A., Fioc, M., Soubiran, C. 2004 A&A 425, 881 Munari, U., Sordo, R., Castelli, F., Zwitter, T. 2005 A&A 442, 1127

Prugniel, Ph., Soubiran, C. 2001 A&A 369, 1048 Prugniel, Ph., Soubiran, C., Koleva, M., Le Borgne, D. 2007 arXiv:astro-ph/0703658

Sanchez-Blazquez, P., Peletier, R. F., Jimenez-Vicente, J., Cardiel, N., Cenarro, A. J., Falcon-Barroso, J., Gor-gas, J., Selam, S., Vazdekis, A. 2006 MNRAS 371, 703 Valdes, F., Gupta, R., Rose, J.A., Singh, H.P., Bell, D.J. 2004 ApJS, 152, 251

Figure

Figure 1. Inversion of Galaxev (BC03) with Pegase-HR models. Each vector represents an individual inversion.

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