LSD-a nonlinear approach

Details LSD-a nonlinear approach LSD-a nonlinear approach

Feb 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aipc.1094..732s&link_type=abstract

COOL STARS, STELLAR SYSTEMS AND THE SUN: Proceedings of the 15th Cambridge Workshop on Cool Stars, Stellar Systems and the Sun.

Physics

Optics

Nonlinear Optics, Astronomical Catalogs, Atlases, Sky Surveys, Databases, Retrieval Systems, Archives, Etc., Interpolation, Curve Fitting

Scientific paper

Stellar spectra usually are very limited in the signal-to-noise ratio (SNR) that can be obtained. In order to increase their informative value, different techniques have been developed in the past ten years which combine multiple spectral lines by cutting out individual line profiles and analysing them by means of least-squares errors or PCA. They usually neglect that the bulk of lines are blended, resulting in artificial broadening of the retrieved common line pattern, while those that care to disentangle blended profiles assume linear line adding.
Based on the well-known least-squares deconvolution (LSD) method, we developed a new technique, which truly accounts for blended profiles and deconvolves them in a physically meaningful way by taking into account the nonlinearity when abandoning the regime of optically thin lines. The so-called interpolation formula by M. Minnaert is a unique tool to describe a line profile both in the optically thin and the optically thick regime. It enables us to write a total line depth in terms of a (nonlinear) combination of contributing individual components.
Applying different versions of LSD, among them our nonlinear (NL-) LSD, to simulated atomic and molecular intensity spectra shows the unrivaled functionality of our new method in terms of interpretability of the retrieved common line pattern. For the first time it is possible to recover an intrinsic line pattern from a molecular band.

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