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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. 20, Iss. 5 — May. 1, 2003
  • pp: 913–924

Theories for the design of a hybrid refractive–diffractive superresolution lens with high numerical aperture

Haitao Liu, Yingbai Yan, Deer Yi, and Guofan Jin  »View Author Affiliations


JOSA A, Vol. 20, Issue 5, pp. 913-924 (2003)
http://dx.doi.org/10.1364/JOSAA.20.000913


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Abstract

By geometrical optics and the Rayleigh–Sommerfeld diffraction formula, theories for the design of a hybrid refractive–diffractive superresolution lens (HRDSL) with high numerical aperture are constructed. Differences between the profile of the diffractive superresolution element (DSE) with high numerical aperture and that with low numerical aperture are indicated. Optimization theory can obtain a globally optimal solution through a linear programming much more simplified than the corresponding one in Liu et al. [ J. Opt. Soc. Am. A 19, 2185 ( 2002)]. The rules of the structure of the designed DSE are both theoretically proved and numerically verified. Comparison of this optimization theory with the other design theories and examples of designing the HRDSL with high numerical aperture are provided. Last, some limits of optical superresolution with high numerical aperture are set and compared with those for low numerical aperture.

© 2003 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(080.2710) Geometric optics : Inhomogeneous optical media
(100.6640) Image processing : Superresolution

History
Original Manuscript: October 7, 2002
Revised Manuscript: December 3, 2002
Manuscript Accepted: December 3, 2002
Published: May 1, 2003

Citation
Haitao Liu, Yingbai Yan, Deer Yi, and Guofan Jin, "Theories for the design of a hybrid refractive–diffractive superresolution lens with high numerical aperture," J. Opt. Soc. Am. A 20, 913-924 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-5-913


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References

  1. I. J. Cox, “Increasing the bit packing densities of optical disk systems,” Appl. Opt. 23, 3260–3261 (1984). [CrossRef] [PubMed]
  2. Y. Shen, G. Yang, X. Hou, “Research on phenomenon of the superresolution in laser lithography,” Acta Opt. Sin. 19, 1512–1517 (1999).
  3. T. Wilson, B. R. Masters, “Confocal microscopy,” Appl. Opt. 33, 565–566 (1994). [CrossRef] [PubMed]
  4. 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]
  5. Duanyi Xu, Principle and Design of Optical Storage Systems (National Defence Industry, Beijing, 2000), Chap. 1.
  6. T. R. M. Sales, G. M. Morris, “Diffractive superresolution elements,” J. Opt. Soc. Am. A 14, 1637–1646 (1997). [CrossRef]
  7. 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]
  8. R. Boivin, A. Boivin, “Optimized amplitude filtering for superresolution over a restricted field,” Opt. Acta 27, 587–610 (1980). [CrossRef]
  9. H. Liu, Y. Yan, Q. Tan, G. Jin, “Theories for the design of diffractive superresolution elements and limits of optical superresolution,” J. Opt. Soc. Am. A 19, 2185–2193 (2002). [CrossRef]
  10. T. R. M. Sales, G. M. Morris, “Fundamental limits of optical superresolution,” Opt. Lett. 22, 582–584 (1997). [CrossRef] [PubMed]
  11. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), Chap. 5.
  12. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1975), Chap. 3.
  13. S. Solimeno, B. Crosignani, P. DiPorto, Guiding, Diffraction, and Confinement of Optical Radiation (Academic, San Diego, Calif., 1986), Chap. II.
  14. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), Chap. 3.
  15. J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975), Chap. 9.
  16. Y. Han, L. N. Hazra, C. A. Delisle, “Exact surface-relief profile of a kinoform lens from its phase function,” J. Opt. Soc. Am. A 12, 524–529 (1995). [CrossRef]
  17. W. Singer, K. H. Brenner, “Transition of the scalar field at a refracting surface in the generalized Kirchhoff diffraction theory,” J. Opt. Soc. Am. A 12, 1913–1919 (1995). [CrossRef]
  18. W. Singer, H. Tiziani, “Born approximation for the nonparaxial scalar treatment of thick phase gratings,” Appl. Opt. 37, 1249–1255 (1998). [CrossRef]
  19. M. Testorf, “Perturbation theory as a unified approach to describe diffractive optical elements,” J. Opt. Soc. Am. A 16, 1115–1123 (1999). [CrossRef]
  20. Y. Chugui, V. P. Koronkevitch, B. E. Krivenkov, S. V. Mikhlyaev, “Quasi-geometrical method for Fraunhofer diffraction calculations for three-dimensional bodies,” J. Opt. Soc. Am. 71, 483–489 (1981). [CrossRef]
  21. T. S. Blyth, E. F. Robertson, Further Linear Algebra (Springer, London, 2002), Chap. 1.
  22. J. K. Strayer, Linear Programming and Its Applications (Springer-Verlag, New York, 1989), Chap. 2.
  23. L. E. Elsgolc, Calculus of Variations (Pergamon, Oxford, UK, 1961), Chap. I.
  24. D. A. Pommet, M. G. Moharam, E. B. Grann, “Limits of scalar diffraction theory for diffractive phase element,” J. Opt. Soc. Am. A 11, 1827–1834 (1994). [CrossRef]

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