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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 7 — Apr. 8, 2013
  • pp: 8142–8157

2D and 3D sub-diffraction source imaging with a superoscillatory filter

Reza K. Amineh and George V. Eleftheriades  »View Author Affiliations

Optics Express, Vol. 21, Issue 7, pp. 8142-8157 (2013)

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In this paper, we propose an approach to overcome the well-known “diffraction limit” when imaging sources several wavelengths away. We employ superdirectivity antenna concepts to design a well-controlled superoscillatory filter (SOF) based on the properties of Tschebyscheff polynomials. The SOF is applied to the reconstructed images from holographic algorithms which are based on the back-propagation principle. We demonstrate the capability of this approach when imaging point-sources several wavelengths away in one-, two-, and three-dimensional imaging with super-resolution. We also investigate the robustness of the proposed algorithm with the sharpness of the SOF, the presence of noise, the imaging distance, and the size of the scanning aperture.

© 2013 OSA

OCIS Codes
(090.1760) Holography : Computer holography
(110.3010) Imaging systems : Image reconstruction techniques

ToC Category:
Imaging Systems

Original Manuscript: January 28, 2013
Revised Manuscript: March 20, 2013
Manuscript Accepted: March 21, 2013
Published: March 27, 2013

Virtual Issues
Vol. 8, Iss. 5 Virtual Journal for Biomedical Optics

Reza K. Amineh and George V. Eleftheriades, "2D and 3D sub-diffraction source imaging with a superoscillatory filter," Opt. Express 21, 8142-8157 (2013)

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