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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 19, Iss. 11 — Nov. 1, 2002
  • pp: 2185–2193

Theories for the design of diffractive superresolution elements and limits of optical superresolution

Haitao Liu, Yingbai Yan, Qiaofeng Tan, and Guofan Jin  »View Author Affiliations


JOSA A, Vol. 19, Issue 11, pp. 2185-2193 (2002)
http://dx.doi.org/10.1364/JOSAA.19.002185


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Abstract

We suggest using the theory of linear programming to design diffractive superresolution elements if the upper bound of the intensity distribution on the input plane is restricted, and using variation theory of functional or wide-sense eigenvalue theory of matrix if the upper bound of the radiation flux through the input plane is restricted. Globally optimal solutions can be obtained by each of these theories. Several rules of the structure and the superresolution performance of diffractive superresolution elements are provided, which verify the validity of these theories and set some limits of optical superresolution.

© 2002 Optical Society of America

OCIS Codes
(100.6640) Image processing : Superresolution
(120.2440) Instrumentation, measurement, and metrology : Filters

History
Original Manuscript: March 23, 2002
Revised Manuscript: June 3, 2002
Manuscript Accepted: June 3, 2002
Published: November 1, 2002

Citation
Haitao Liu, Yingbai Yan, Qiaofeng Tan, and Guofan Jin, "Theories for the design of diffractive superresolution elements and limits of optical superresolution," J. Opt. Soc. Am. A 19, 2185-2193 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-11-2185


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References

  1. T. R. M. Sales, G. M. Morris, “Fundamental limits of optical superresolution,” Opt. Lett. 22, 582–584 (1997). [CrossRef] [PubMed]
  2. I. J. Cox, “Increasing the bit packing densities of optical disk systems,” Appl. Opt. 23, 3260–3261 (1984). [CrossRef] [PubMed]
  3. M. Shinoda, K. Kime, “Focusing characteristics of an optical head with superresolution using a high-aspect-ratio red laser diode,” Jpn. J. Appl. Phys. 35, 380–383 (1996). [CrossRef]
  4. T. Wilson, B. R. Masters, “Confocal microscopy,” Appl. Opt. 33, 565–566 (1994). [CrossRef] [PubMed]
  5. K. Carlsson, P. E. Danielsson, R. Lenz, A. Liljeborg, L. Majlof, N. Aslund, “Three-dimensional microscopy using a confocal laser scanning microscope,” Opt. Lett. 10, 53–55 (1985). [CrossRef] [PubMed]
  6. S. Yibing, Y. Guoguang, H. Xiyun, “Research on phenomenon of the super-resolution in laser lithography,” Acta Opt. Sin. 19, 1512–1517 (1999).
  7. T. R. M. Sales, G. M. Morris, “Diffractive superresolution elements,” J. Opt. Soc. Am. A 14, 1637–1646 (1997). [CrossRef]
  8. M. R. Wang, X. G. Huang, “Subwavelength-resolvable focused non-Gaussian beam shaped with a binary diffractive optical element,” Appl. Opt. 38, 2171–2176 (1999). [CrossRef]
  9. R. Boivin, A. Boivin, “Optimized amplitude filtering for superresolution over a restricted field,” Opt. Acta 27, 587–610 (1980). [CrossRef]
  10. I. J. Cox, C. J. R. Sheppard, T. Wilson, “Reappraisal of arrays of concentric annuli as superresolving filters,” J. Opt. Soc. Am. 72, 1287–1291 (1982). [CrossRef]
  11. D. Zhihua, T. Weijian, B. Zhengkang, “Superresolution with high throughput via irradiance redistribution element,” Acta Opt. Sin. 20, 701–706 (2000).
  12. H. Anyun, “Wavefront engineering and optical superresolution,” Semicond. Inf. 35, 1–17 (1998).
  13. J. K. Strayer, Linear Programming and Its Applications (Springer-Verlag, New York, 1989), Chap. 2.
  14. L. E. Elsgolc, Calculus of Variations (Pergamon, Oxford, UK, 1961), Chap. I-2.
  15. J. H. Wilkinson, The Algebraic Eigenvalue Problem (Clarendon, Oxford, UK, 1965), Chap. 5.
  16. M. Born, E. Wolf, Principles of Optics, 5th ed. (Pergamon, New York, 1975), Chaps. 3 and 8.

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