General formalism of model-fitting for interferometric observables

Eric Tatulli; Alain Chelli

doi:10.1117/12.457138

21 February 2003 General formalism of model-fitting of interferometric observables

Eric Tatulli, Alain Chelli

Proceedings Volume 4838, Interferometry for Optical Astronomy II; (2003) https://doi.org/10.1117/12.457138
Event: Astronomical Telescopes and Instrumentation, 2002, Waikoloa, Hawai'i, United States

Abstract

Up until now and with the first generation of the next optical interferometers, only a few telescopes, such as 3 or 4, are enabled for gathering the starlight. In such a case, short night-time observational runs will only provide small number of measured baselines. The lack of spatial frequencies mapped in the uv plane thus prevents from a reconstruction of the studied object. It therefore implies to define an a-priori model and to constraint its parameters from the available measurements. We propose here to fit the model parameters from a least square minimization-type approach. We develop a general formalism that can be applied to the three common interferometric observables. These observables are the square visibility, the closure phase and the differential phase. We also pay attention on the formal analysis of the error on the estimated observables and on the resulting error on the model parameters. This approach allows us to run realistic pre-observational simulations, to estimate the performances of the telescope/recombiner instrument, and to sense the feasibility of the intended observation. We finally apply this theoretical study to the recombiner AMBER on the VLTI when pointing at a single star.

Citation Download Citation

Eric Tatulli and Alain Chelli "General formalism of model-fitting of interferometric observables", Proc. SPIE 4838, Interferometry for Optical Astronomy II, (21 February 2003); https://doi.org/10.1117/12.457138

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KEYWORDS

Signal to noise ratio

Visibility

Telescopes

Interferometry

Stars

Error analysis

Interferometers

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