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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 1 — Jan. 7, 2008
  • pp: 58–66

Quantum limits of superresolution for imaging discrete subwavelength structures

Mikhail I. Kolobov  »View Author Affiliations


Optics Express, Vol. 16, Issue 1, pp. 58-66 (2008)
http://dx.doi.org/10.1364/OE.16.000058


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Abstract

We present the quantum theory of superresolution for discrete subwavelength structures. It allows to formulate, in particular, the standard quantum limit of superresolution achieved for illumination of the structure by light in coherent state. Our theory is based on discrete prolate spheroidal sequences and functions which are the proper basis set of the problem. We demonstrate that the superresolution factor is much higher for discrete structures than for continuous objects for the same signal-to-noise ratio. This result is a clear illustration of the crucial role of a priori information in superresolution problems.

© 2008 Optical Society of America

OCIS Codes
(100.6640) Image processing : Superresolution
(270.0270) Quantum optics : Quantum optics
(110.3010) Imaging systems : Image reconstruction techniques

ToC Category:
Imaging Systems

History
Original Manuscript: November 14, 2007
Revised Manuscript: December 17, 2007
Manuscript Accepted: December 20, 2007
Published: January 2, 2008

Citation
Mikhail I. Kolobov, "Quantum limits of superresolution for imaging discrete subwavelength structures," Opt. Express 16, 58-66 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-1-58


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References

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