Issue |
A&A
Volume 434, Number 2, May I 2005
|
|
---|---|---|
Page(s) | 785 - 794 | |
Section | Astronomical instrumentation | |
DOI | https://doi.org/10.1051/0004-6361:20042311 | |
Published online | 11 April 2005 |
Radon approach to shaped and apodized apertures for imaging exoplanets
UMR 6525 Laboratoire Universitaire d'Astrophysique de Nice, Université de Nice Sophia Antipolis, Parc Valrose, 06108 Nice Cedex 2, France e-mail: Claude.Aime@unice.fr
Received:
3
November
2004
Accepted:
10
December
2004
In this paper, we present a new approach to the study of shaped and apodized apertures for the detection of exoplanets. It is based on a Radon transform of the telescope aperture and makes it possible to present the effects of shaped and apodized apertures in a unified manner for an objective comparison between them. An illustration of this approach is made for a few apertures. Our conclusion favors the apodized apertures. The approach also permits us to obtain new results. In a second part of the paper, we derive expressions for the signal-to-noise ratio (SNR) of an experiment using an apodized aperture and draw the corresponding curves for the example of a circular telescope apodized by a prolate spheroidal function. We found that a very marked improvement of the SNR can be obtained using apodization techniques. There is an apodization that optimizes the SNR for a given observation; this apodization is generally very strong. The analysis is made for the case of a perfect telescope operated in space.
Key words: techniques: high angular resolution / instrumentation: high angular resolution / telescopes
© ESO, 2005
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