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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 26 — Dec. 21, 2009
  • pp: 23920–23946

Super-resolution and reconstruction of sparse sub-wavelength images

Snir Gazit, Alexander Szameit, Yonina C. Eldar, and Mordechai Segev  »View Author Affiliations

Optics Express, Vol. 17, Issue 26, pp. 23920-23946 (2009)

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We show that, in contrast to popular belief, sub-wavelength information can be recovered from the far-field of an optical image, thereby overcoming the loss of information embedded in decaying evanescent waves. The only requirement is that the image is known to be sparse, a specific but very general and wide-spread property of signals which occur almost everywhere in nature. The reconstruction method relies on newly-developed compressed sensing techniques, which we adapt to optical super-resolution and sub-wavelength imaging. Our approach exhibits robustness to noise and imperfections. We provide an experimental proof-of-principle by demonstrating image recovery at a spatial resolution 5-times higher than the finest resolution defined by a spatial filter. The technique is general, and can be extended beyond optical microscopy, for example, to atomic force microscopes, scanning-tunneling microscopes, and other imaging systems.

© 2009 Optical Society of America

OCIS Codes
(100.3010) Image processing : Image reconstruction techniques
(100.6640) Image processing : Superresolution
(170.0180) Medical optics and biotechnology : Microscopy

ToC Category:
Image Processing

Original Manuscript: November 30, 2009
Revised Manuscript: December 15, 2009
Manuscript Accepted: December 15, 2009
Published: December 16, 2009

Virtual Issues
Vol. 5, Iss. 1 Virtual Journal for Biomedical Optics

Snir Gazit, Alexander Szameit, Yonina C. Eldar, and Mordechai Segev, "Super-resolution and reconstruction of sparse sub-wavelength images," Opt. Express 17, 23920-23946 (2009)

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