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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 8, Iss. 5 — Jun. 6, 2013

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)
http://dx.doi.org/10.1364/OE.21.008142


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Abstract

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

History
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

Citation
Reza K. Amineh and George V. Eleftheriades, "2D and 3D sub-diffraction source imaging with a superoscillatory filter," Opt. Express 21, 8142-8157 (2013)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=oe-21-7-8142


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References

  1. J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett.85(18), 3966–3969 (2000). [CrossRef] [PubMed]
  2. A. Grbic and G. V. Eleftheriades, “Overcoming the diffraction limit with a planar left-handed transmission-line lens,” Phys. Rev. Lett.92(11), 117403 (2004). [CrossRef] [PubMed]
  3. A. Grbic, L. Jiang, and R. Merlin, “Near-field plates: Subdiffraction focusing with patterned surfaces,” Science320(5875), 511–513 (2008). [CrossRef] [PubMed]
  4. L. Markley and G. V. Eleftheriades, “Meta-screens and near-field antenna-arrays: a new perspective on subwavelength focusing and imaging,” Metamaterials; Elsevier 5(2–3), 97–106 (2011).
  5. Z. Jacob, L. V. Alekseyev, and E. Narimanov, “Optical hyperlens: Far-field imaging beyond the diffraction limit,” Opt. Express14(18), 8247–8256 (2006). [CrossRef] [PubMed]
  6. A. Salandrino and N. Engheta, “Far-field subdiffraction optical microscopy using metamaterial crystals: Theory and simulations,” Phys. Rev. B74(7), 075103 (2006). [CrossRef]
  7. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1996).
  8. J. L. Harris, “Diffraction and resolving power,” J. Opt. Soc. Am.54(7), 931–933 (1964). [CrossRef]
  9. C. W. Barnes, “Object restoration in a diffraction-limited imaging system,” J. Opt. Soc. Am.56(5), 575–578 (1966). [CrossRef]
  10. R. W. Gerchberg, “Super-resolution through error energy reduction,” Opt. Acta (Lond.)21(9), 709720 (1974). [CrossRef]
  11. F. M. Huang and N. I. Zheludev, “Super-resolution without evanescent waves,” Nano Lett.9(3), 1249–1254 (2009). [CrossRef] [PubMed]
  12. D. Slepian and H. O. Pollak, “Prolate spheroidal wavefunctions, quadrature and uncertainty-I,” Bell Syst. Tech. J.40, 43–63 (1961).
  13. E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, and N. I. Zheludev, “A super-oscillatory lens optical microscope for subwavelength imaging,” Nat. Mater.11(5), 432–435 (2012). [CrossRef] [PubMed]
  14. A. M. H. Wong and G. V. Eleftheriades, “Adaptation of Schelkunoff’s superdirective antenna theory for the realization of superoscillatory antenna arrays,” IEEE Antennas Wirel. Propag. Lett.9, 315–318 (2010). [CrossRef]
  15. A. M. H. Wong and G. V. Eleftheriades, “Sub-wavelength focusing at the multi-wavelength range using superoscillations: an experimental demonstration,” IEEE Trans. Antenn. Propag.59(12), 4766–4776 (2011). [CrossRef]
  16. N. Yaru, “A note on super-gain antenna arrays,” Proc. of I.R.E. 39(9), 1081–1085 (1951).
  17. D. M. Sheen, D. L. McMakin, and T. E. Hall, “Three-dimensional millimeter-wave imaging for concealed weapon detection,” IEEE Trans. Microw. Theory Tech.49(9), 1581–1592 (2001). [CrossRef]
  18. M. Ravan, R. K. Amineh, and N. K. Nikolova, “Two-dimensional near-field microwave holography,” Inverse Probl.26(5), 055011 (2010). [CrossRef]
  19. R. K. Amineh, M. Ravan, A. Khalatpour, and N. K. Nikolova, “Three-dimensional near-field microwave holography using reflected and transmitted signals,” IEEE Trans. Antenn. Propag.59(12), 4777–4789 (2011). [CrossRef]
  20. B. E. Saleh and C. T. Malvin, Fundamentals of Photonics (Wiley, 1991).
  21. S. O. Rice, “Mathematical analysis of random noise,” Bell Syst. Tech. J. 23, 282–332 (1944), 24, 46–156 (1945).
  22. C. M. Grinstead and J. L. Snell, Introduction to Probability (American Mathematical Society, 1997).

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