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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. 18, Iss. 1 — Jan. 1, 2001
  • pp: 86–93

Efficiency analysis of diffractive lenses

Uriel Levy, David Mendlovic, and Emanuel Marom  »View Author Affiliations


JOSA A, Vol. 18, Issue 1, pp. 86-93 (2001)
http://dx.doi.org/10.1364/JOSAA.18.000086


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Abstract

Multilevel diffractive optical elements are necessary for achieving high-efficiency performance. Here the diffraction efficiency of a multilevel phase-only diffractive lens is analyzed. Approximate, as well as more accurate, approaches are presented. Both plane-wave and Gaussian illumination are discussed. It is shown that for many practical cases the diffraction efficiency can be determined by only a single parameter that takes into account the spatial bandwidth product as well as the focal length of the lens and the illumination wavelength. The analysis is based on the scalar theory and the thin-element approximation. Justification for doing this is presented. The results are valid for lenses with at least F/5.

© 2001 Optical Society of America

OCIS Codes
(050.1380) Diffraction and gratings : Binary optics
(050.1970) Diffraction and gratings : Diffractive optics
(220.3630) Optical design and fabrication : Lenses
(220.3740) Optical design and fabrication : Lithography

Citation
Uriel Levy, David Mendlovic, and Emanuel Marom, "Efficiency analysis of diffractive lenses," J. Opt. Soc. Am. A 18, 86-93 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-1-86


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References

  1. R. W. Wood, Physical Optics (Macmillan, New York, 1934), pp. 37–40.
  2. W. B. Veldkamp, “Wireless focal planes on the road to amacronic sensors,” IEEE J. Quantum Electron. 29, 801–813 (1993).
  3. H. P. Herzig, Micro-optics: Elements, Systems and Applications (Taylor & Francis, London, 1997).
  4. G. J. Swanson and W. B. Veldkamp, “High-efficiency, multilevel, diffractive optical elements,” U.S. Patent #4895790, September 21, 1987.
  5. W. H. Welch, J. E. Morris, and M. R. Feldman, “Iterative discrete on-axis encoding of radially symmetric computer-generated holograms,” J. Opt. Soc. Am. A 10, 1729–1738 (1993).
  6. M. Kuittinen and H. P. Herzig, “Encoding of efficient diffractive microlenses,” Opt. Lett. 20, 2156–2158 (1995).
  7. J. Fan, D. Zaleta, K. S. Urquhart, and S. H. Lee, “Efficient encoding algorithms for computer-aided design of diffractive optical elements by the use of electron-beam fabrication,” Appl. Opt. 34, 2522–2533 (1995).
  8. C. Chen and A. A. Sawchuk, “Nonlinear least-squares and phase-shifting quantization methods for diffractive optical element design,” Appl. Opt. 36, 7297–7306 (1997).
  9. V. Arrizon and S. Sinzinger, “Modified quantization schemes for Fourier-type array generator,” Opt. Commun. 140, 309–315 (1997).
  10. M. G. Moharam and T. K. Gaylord, “Rigorous coupled-wave analysis of planar-grating diffraction,” J. Opt. Soc. Am. 71, 811–818 (1981).
  11. M. G. Moharam and T. K. Gaylord, “Diffraction analysis of dielectric surface-relief gratings,” J. Opt. Soc. Am. 72, 1385–1392 (1982).
  12. E. Noponen, J. Turunen, and A. Vasara, “Parametric optimization of multilevel diffractive optical elements by electromagnetic theory,” Appl. Opt. 31, 5910–5912 (1992).

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