Other
Scientific paper
Oct 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003esasp.539..565r&link_type=abstract
In: Proceedings of the Conference on Towards Other Earths: DARWIN/TPF and the Search for Extrasolar Terrestrial Planets, 22-25 A
Other
2
Interferometry, Extrasolar Planets, Nulling, Coronagraph
Scientific paper
The difficult goal of directly detecting a planet around a star requires to cancel as far as possible the stellar light. Since the first proposal by Bracewell of a nulling interferometer, where the star is put on a central dark fringe, several interferometric configurations have been presented in order to improve the quality of the rejection. One of the goals is to increase the exponent of the term θn which gives the cancellation efficiency with respect to angular distance to the axis of the central fringe. Is there a way of reaching any given power of θ? The answer is yes and I present one method to define fractal configurations of telescopes that achieve this goal, at least theoretically. The principle is based on a peculiar property of a partition into two sets of the integers, which is done according to the Prouhet-Thué-Morse sequence. I first examine 1-D pattern of identical telescopes, then extend the method to 2-D configurations, and finally show that the latter can be used to define 1-D arrays of non identical telescopes.
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