2003
DOI: 10.1051/0004-6361:20021573
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Stellar coronagraphy with prolate apodized circular apertures

Abstract: Abstract. This paper generalizes to circular apertures the theoretical study of stellar coronagraphy with prolate apodized rectangular entrance apertures of Aime et al. (2002). The main difference between the two studies is that circular prolate spheroidal functions are used for a circular aperture instead of linear prolate spheroidal functions for rectangular apertures. Owing to the radial property of the problem, the solution to the general equation for coronagraphy is solved using a Hankel transform instead… Show more

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Cited by 154 publications
(189 citation statements)
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“…Since the invention of the stellar Lyot coronagraph (Lyot 1939), there has been impressive progress in the field leading to a wealth of different coronagraphs that can be divided into different families. In particular, the Apodized Pupil Lyot Coronagraph (APLC) (Aime et al 2002;Soummer et al 2003a) appears to be well suited to ELTs and has been studied theoretically (Soummer 2005;Martinez et al 2007). The APLC features amplitude apodization in the entrance aperture for reducing diffraction, and a small Lyot mask in the focal plane.…”
Section: Introductionmentioning
confidence: 99%
“…Since the invention of the stellar Lyot coronagraph (Lyot 1939), there has been impressive progress in the field leading to a wealth of different coronagraphs that can be divided into different families. In particular, the Apodized Pupil Lyot Coronagraph (APLC) (Aime et al 2002;Soummer et al 2003a) appears to be well suited to ELTs and has been studied theoretically (Soummer 2005;Martinez et al 2007). The APLC features amplitude apodization in the entrance aperture for reducing diffraction, and a small Lyot mask in the focal plane.…”
Section: Introductionmentioning
confidence: 99%
“…(Aime et al 2002;Soummer et al 2003). Unfortunately, a large fraction of the light is absorbed by the apodization mask.…”
Section: Introductionmentioning
confidence: 99%
“…Some candidates among the possible apodization profiles are the spheroidal prolate functions (Slepian 1965) that, as was well described in Frieden (1971), maximally concentrate in the mean square sense the light in the diffraction central spot. The properties of the spheroidal prolate functions make them very interesting for the Lyot coronagraph, as was pointed out in several papers (Aime et al 2002;Soummer et al 2003;Soummer 2005).…”
Section: Discussionmentioning
confidence: 93%