Spectroscopy from Photometry Using Sparsity: The SDSS Case Study

Bibcode
2010ApJ...719.1759A
DOI
10.1088/0004-637X/719/2/1759
Asensio-Ramos, A.; Allende-Prieto, C.
Bibliographical reference

The Astrophysical Journal, Volume 719, Issue 2, pp. 1759-1766 (2010).

Advertised on:
8
2010
Journal
The Astrophysical Journal
Number of authors
2
IAC number of authors
2
Citations
2
Refereed citations
2
Description
We explore whether medium-resolution stellar spectra can be reconstructed from photometric observations, taking advantage of the highly compressible nature of the spectra. We formulate the spectral reconstruction as a least-squares problem with a sparsity constraint. In our test case using data from the Sloan Digital Sky Survey, only three broadband filters are used as input. We demonstrate that reconstruction using three principal components is feasible with these filters, leading to median differences with respect to the original spectrum smaller than 5%. We analyze the effect of uncertainties in the observed magnitudes and find that the available high photometric precision induces very small errors in the reconstruction. This process may facilitate the extraction of purely spectroscopic quantities, such as the overall metallicity, for hundreds of millions of stars for which only photometric information is available, using standard analysis techniques applied to the reconstructed spectra.
Related projects
Project Image
Magnetism, Polarization and Radiative Transfer in Astrophysics

Magnetic fields pervade all astrophysical plasmas and govern most of the variability in the Universe at intermediate time scales. They are present in stars across the whole Hertzsprung-Russell diagram, in galaxies, and even perhaps in the intergalactic medium. Polarized light provides the most reliable source of information at our disposal for the

Tanausú del
Pino Alemán
In progress
spectrum of mercury lamp
Chemical Abundances in Stars

Stellar spectroscopy allows us to determine the properties and chemical compositions of stars. From this information for stars of different ages in the Milky Way, it is possible to reconstruct the chemical evolution of the Galaxy, as well as the origin of the elements heavier than boron, created mainly in stellar interiors. It is also possible to

Carlos
Allende Prieto
In progress
Type
Refereed
Methods
Surveys
Solar Physics (FS)
Stellar & Interstellar Physics (FEEI)

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