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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 5 — Mar. 10, 2014
  • pp: 5431–5441

Computational superoscillation imaging beyond the Rayleigh limit from far-Field measurements

Lianlin Li, Fang Li, and Tie Jun Cui  »View Author Affiliations


Optics Express, Vol. 22, Issue 5, pp. 5431-5441 (2014)
http://dx.doi.org/10.1364/OE.22.005431


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Abstract

Far-field imaging beyond the Rayleigh limit is one of the most important challenges in optics, microwave, and ultrasonics. We propose a novel sparsity-promoted super-oscillation imaging scheme for reconstructing more universal objects in subwavelength scales, which solves a weighted optimization problem constrained by lp-norm-based sparsity regularization ( 0 p 1 ). We demonstrate numerically that the proposed imaging technique improves the resolution related to existing approaches remarkably for the case of very high signal-to-noise ratio (SNR), including the traditional super-oscillation imaging and sparsity-based super-resolution imaging. The standard superoscillation based super-resolution imaging approach can be regarded as the first-iteration solution of the proposed scheme. Numerical results for one- and two-dimensional super-resolution imaging are presented for validation.

© 2014 Optical Society of America

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

ToC Category:
Imaging Systems

History
Original Manuscript: January 14, 2014
Revised Manuscript: February 17, 2014
Manuscript Accepted: February 19, 2014
Published: February 28, 2014

Virtual Issues
Vol. 9, Iss. 5 Virtual Journal for Biomedical Optics

Citation
Lianlin Li, Fang Li, and Tie Jun Cui, "Computational superoscillation imaging beyond the Rayleigh limit from far-Field measurements," Opt. Express 22, 5431-5441 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-5-5431


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