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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 24 — Nov. 26, 2007
  • pp: 15935–15951

Fast computation of Lyot-style coronagraph propagation

R. Soummer, L. Pueyo, A. Sivaramakrishnan, and R. J. Vanderbei  »View Author Affiliations

Optics Express, Vol. 15, Issue 24, pp. 15935-15951 (2007)

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We present a new method for numerical propagation through Lyot-style coronagraphs using finite occulting masks. Standard methods for coronagraphic simulations involve Fast Fourier Transforms (FFT) of very large arrays, and computing power is an issue for the design and tolerancing of coronagraphs on segmented Extremely Large Telescopes (ELT) in order to handle both the speed and memory requirements. Our method combines a semi-analytical approach with non-FFT based Fourier transform algorithms. It enables both fast and memory-efficient computations without introducing any additional approximations. Typical speed improvements based on computation costs are of about ten to fifty for propagations from pupil to Lyot plane, with thirty to sixty times less memory needed. Our method makes it possible to perform numerical coronagraphic studies even in the case of ELTs using a contemporary commercial laptop computer, or any standard commercial workstation computer.

© 2007 Optical Society of America

OCIS Codes
(350.1260) Other areas of optics : Astronomical optics
(070.2025) Fourier optics and signal processing : Discrete optical signal processing
(070.2575) Fourier optics and signal processing : Fractional Fourier transforms
(070.7145) Fourier optics and signal processing : Ultrafast processing
(110.1080) Imaging systems : Active or adaptive optics

ToC Category:
Fourier Optics and Signal Processing

Original Manuscript: August 21, 2007
Revised Manuscript: October 23, 2007
Manuscript Accepted: October 23, 2007
Published: November 16, 2007

R. Soummer, L. Pueyo, A. Sivaramakrishnan, and R. J. Vanderbei, "Fast computation of Lyot-style coronagraph propagation," Opt. Express 15, 15935-15951 (2007)

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