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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 22 — Oct. 26, 2009
  • pp: 20515–20520

Coronagraphic mask design using Hermite functions

Manuel P. Cagigal, Vidal F. Canales, Pedro J. Valle, and José E. Oti  »View Author Affiliations

Optics Express, Vol. 17, Issue 22, pp. 20515-20520 (2009)

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We introduce a stellar coronagraph that uses a coronagraphic mask described by a Hermite function or a combination of them. It allows the detection of exoplanets providing both deep starlight extinction and high angular resolution. This angular resolution depends on the order of the Hermite function used. An analysis of the coronagraph performance is carried out for different even order masks. Numerical simulations of the ideal case, with no phase errors and perfect telescope pointing, show that on-axis starlight is reduced to very low intensity levels corresponding to a gain of at least 25 magnitudes (10−10 light intensity reduction). The coronagraphic throughput depends on the Hermite function or combination selected. The proposed mask series presents the same advantages of band limited masks along with the benefit of reducing the light diffracted by the mask border thanks to its particular shape. Nevertheless, for direct detection of Earth-like exoplanets it requires the use of adaptive optics facilities for compensating the perturbations introduced by the atmosphere and by the optical system.

© 2009 OSA

OCIS Codes
(100.2980) Image processing : Image enhancement
(110.2970) Imaging systems : Image detection systems

ToC Category:
Image Processing

Original Manuscript: July 2, 2009
Revised Manuscript: September 11, 2009
Manuscript Accepted: October 1, 2009
Published: October 23, 2009

Manuel P. Cagigal, Vidal F. Canales, Pedro J. Valle, and José E. Oti, "Coronagraphic mask design using Hermite functions," Opt. Express 17, 20515-20520 (2009)

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  1. N. Woolf and J. R. Angel, “Astronomical searches for Earth-like planets and signs of life,” Annu. Rev. Astron. Astrophys. 36(1), 507–537 (1998). [CrossRef]
  2. A. Beichman, N. J. Wolf, and C. A. Lindensmith, eds., Terrestrial Planet Finder (TPF) (JPL Publications 99–003, Jet Propulsion Laboratory, Pasadena, 1999).
  3. O. Guyon, E. A. Pluzhnik, M. J. Kuchner, B. Collins, and S. T. Ridgway, “Theoretical limits on extrasolar planets detection with coronagraphs,” Astrophys. J. Suppl. Ser. 167(1), 81–99 (2006). [CrossRef]
  4. C. Aime, “Radon approach to shaped and apodized apertures for imaging exoplanets,” Astron. Astrophys. 434(2), 785–794 (2005). [CrossRef]
  5. O. Guyon, E. A. Pluzhnik, R. Galicher, F. Martinache, S. T. Ridgway, and R. A. Woodruff, “Exoplanet Imaging with a Phase-induced Amplitude Apodization Coronagraph. I. Principle,” Astrophys. J. 622(1), 744–758 (2005). [CrossRef]
  6. F. Roddier and C. Roddier, “Stellar Coronagraph with phase mask,” Publ. Astron. Soc. Pac. 109, 815–820 (1997). [CrossRef]
  7. P. Baudoz, Y. Rabbia, and J. Gay, “Achromatic interfero coronagraphy,” Astron. Astrophys. Suppl. Ser. 141(2), 319–329 (2000). [CrossRef]
  8. D. Rouan, D. Riaud, A. Boccaletti, Y. Clénet, and A. Labeyrie, “The four-quadrant phase-mask coronagraph,” Publ. Astron. Soc. Pac. 112(777), 1479–1486 (2000). [CrossRef]
  9. G. Foo, D. M. Palacios, and G. A. Swartzlander., “Optical vortex coronagraph,” Opt. Lett. 30(24), 3308–3310 (2005). [CrossRef]
  10. M. J. Kuchner and W. A. Traub, “A Coronagraph with a Band-limited Mask for Finding Terrestrial Planets,” Astrophys. J. 570(2), 900–908 (2002). [CrossRef]
  11. M. P. Cagigal and V. F. Canales, “Exoplanet detection using a nulling interferometer,” Opt. Express 9(1), 36–41 (2001). [CrossRef] [PubMed]
  12. M. P. Cagigal and V. F. Canales, “Speckle statistics in partially corrected wave fronts,” Opt. Lett. 23(14), 1072–1074 (1998). [CrossRef]
  13. V. F. Canales and M. P. Cagigal, “Photon statistics in partially compensated wave fronts,” J. Opt. Soc. Am. A 16(10), 2550–2554 (1999). [CrossRef]
  14. A. Sivaramakrishnan, C. D. Koresko, R. B. Makidon, T. Berkefeld, and M. J. Kuchner, “Ground-based coronagraphy with high-order adaptive optics,” Astrophys. J. 552(1), 397–408 (2001). [CrossRef]
  15. J. E. Oti, V. F. Canales, and M. P. Cagigal, “Pure amplitude masks for exoplanet detection with the optical differentiation coronagraph,” Astrophys. J. 662(1), 738–743 (2007). [CrossRef]
  16. P. J. Borde and W. A. Traub, “High-contrast imaging from space: speckle nulling in a low-aberration regime,” Astrophys. J. 638(1), 488–498 (2006). [CrossRef]

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