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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 5 — Mar. 1, 2010
  • pp: 4417–4427

Improving mid-frequency contrast in sparse aperture optical imaging systems based upon the Golay-9 array

Andrew J Stokes, Bradley D Duncan, and Mathew P Dierking  »View Author Affiliations

Optics Express, Vol. 18, Issue 5, pp. 4417-4427 (2010)

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Sparse aperture imaging systems are capable of producing high resolution images while maintaining an overall light collection area that is small compared to a fully filled aperture yielding the same resolution. This is advantageous for applications where size, volume, weight and/or cost are important considerations. However, conventional sparse aperture systems pay the penalty of reduced contrast at midband spatial frequencies. This paper will focus on increasing the midband contrast of sparse aperture imaging systems based on the Golay-9 array. This is one of a family of two-dimensional arrays we have previously examined due to their compact, non-redundant autocorrelations. The modulation transfer function, or normalized autocorrelation, provides a quantitative measure of both the resolution and contrast of an optical imaging system and, along with an average relative midband contrast metric, will be used to compare perturbations to the standard Golay-9 array. Numerical calculations have been performed to investigate the behavior of a Golay-9 array into which autocorrelation redundancy has been introduced and our results have been experimentally verified. In particular we have demonstrated that by proper choice of sub-aperture diameters the average relative midband contrast can be improved by over 55%.

© 2010 OSA

OCIS Codes
(110.0110) Imaging systems : Imaging systems
(110.1220) Imaging systems : Apertures
(110.3000) Imaging systems : Image quality assessment
(110.4100) Imaging systems : Modulation transfer function
(120.4820) Instrumentation, measurement, and metrology : Optical systems
(280.4788) Remote sensing and sensors : Optical sensing and sensors

ToC Category:
Imaging Systems

Original Manuscript: December 8, 2009
Revised Manuscript: February 9, 2010
Manuscript Accepted: February 13, 2010
Published: February 18, 2010

Andrew J Stokes, Bradley D. Duncan, and Mathew P. Dierking, "Improving mid-frequency contrast in sparse aperture optical imaging systems based upon the Golay-9 array," Opt. Express 18, 4417-4427 (2010)

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