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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 31, Iss. 25 — Sep. 1, 1992
  • pp: 5326–5330

Nonparaxial design of generalized axicons

J. Sochacki, A. Kołodziejczyk, Z. Jaroszewicz, and S. Bará  »View Author Affiliations


Applied Optics, Vol. 31, Issue 25, pp. 5326-5330 (1992)
http://dx.doi.org/10.1364/AO.31.005326


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Abstract

The geometric law of energy conservation is utilized in evaluating the phase transmittance function for axicons with arbitrary distribution of the on-axis intensity. Several simple analytical solutions are presented, and a computer-generated holographic version of the uniform-intensity axicon is examined.

© 1992 Optical Society of America

History
Original Manuscript: January 14, 1991
Published: September 1, 1992

Citation
J. Sochacki, A. Kołodziejczyk, Z. Jaroszewicz, and S. Bará, "Nonparaxial design of generalized axicons," Appl. Opt. 31, 5326-5330 (1992)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-31-25-5326


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References

  1. J. H. McLeod, “Axicon: a new type of optical element,” J. Opt. Soc. Am. 44, 592–597 (1954). [CrossRef]
  2. J. H. McLeod, “Axicons and their uses,” J. Opt. Soc. Am. 50, 166–169 (1960). [CrossRef]
  3. M. V. Pérez, C. Gómez-Reino, J. M. Cuadrado, “Diffraction pattern and zone plates produced by thin linear axicons,” Opt. Acta 33, 1161–1176 (1986). [CrossRef]
  4. L. W. Casperson, M. S. Shekhani, “Air breakdown in a radial-mode focusing element,” Appl. Opt. 13, 104–108 (1974). [CrossRef] [PubMed]
  5. P. A. Bélanger, M. Rioux, “Ring pattern of a lens–axicon doublet illuminated by a Gaussian beam,” Appl. Opt. 17, 1080–1086 (1978). [CrossRef] [PubMed]
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  8. G. Häusler, W. Heckel, “Light sectioning with large depth and high resolution,” Appl. Opt. 27, 5165–5169 (1988). [CrossRef] [PubMed]
  9. L. M. Soroko, “Axicons and meso-optical imaging devices,” in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, 1989), Vol. 27, pp. 109–160. [CrossRef]
  10. J. Turunen, A. Vasara, A. T. Friberg, “Holographic generation of diffraction-free beams,” Appl. Opt. 27, 3959–3962 (1988). [CrossRef] [PubMed]
  11. A. Vasara, J. Turunen, A. T. Friberg, “Realization of general nondiffracting beams with computer-generated holograms,” J. Opt. Soc. Am. A 6, 1748–1754 (1989). [CrossRef] [PubMed]
  12. D. Marcuse, Principles of Optical Fiber Measurements (Academic, New York, 1981), pp. 167–169.
  13. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), pp. 13 and 63.
  14. L. B. Felsen, “Real spectra, complex spectra, compact spectra,” J. Opt. Soc. Am. A 3, 486–496 (1986). [CrossRef]
  15. H. L. Kazansky, “Numerical procedure for correcting phase function of focusators,” Komputernaya Optika 1 (1987), in Russian; we hope that this paper is available in the English translation of this journal, Computer Optics (Pergamon, New York). We are unable to specify issue, however.
  16. V. P. Koronkevitch, V. P. Korolkov, A. G. Poleschuk, I. G. Palchikova, Y. I. Yurkov, I. A. Mikhaltsova, E. G. Churin, A. P. Sokolov, A. G. Sedukhin, “Kinoforms: technologies, new elements, and optical systems,” preprint IAE SB (USSR Academy of Science, Moscow, 1989), Vol. 421, p 15 (in English).
  17. See, for example, D. A. Buralli, G. M. Morris, J. R. Rogers, “Optical performance of holographic kinoforms,” Appl. Opt. 28, 976–983 (1989). [CrossRef] [PubMed]
  18. J. Sochacki, S. Bará, Z. Jaroszewicz, A. Kołodziejczyk, “Phase retardation of the uniform-intensity axicon,” Opt. Lett. 17, 7–9 (1992). [CrossRef] [PubMed]
  19. A. Kołodziejczyk, S. Bará, Z. Jaroszewicz, M. Sypek, “The light sword optical element—a new diffractive structure with extended depth of focus,” J. Mod. Opt. 37, 1283–1286 (1990). [CrossRef]
  20. Ref. 13, p. 124.

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