OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 26, Iss. 21 — Nov. 1, 2001
  • pp: 1648–1650

Synthesis of diffractive axicons for partially coherent light based on asymptotic wave theory

Anna Thaning, Ari T. Friberg, and Zbigniew Jaroszewicz  »View Author Affiliations

Optics Letters, Vol. 26, Issue 21, pp. 1648-1650 (2001)

View Full Text Article

Acrobat PDF (84 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A general, noniterative method for designing diffractive axicons is derived. This new technique clarifies the earlier phenomenological design principle that was used for coherent light and extends it to the domain of partial coherence. The approach is based on the method of stationary phase in fluctuating diffracted wave fields, and it applies to arbitrary axially symmetric radiation of the Schell-model type. It is shown that the general design equation can be solved numerically, in a straightforward way, for any reasonable illumination and image specifications.

© 2001 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(050.1970) Diffraction and gratings : Diffractive optics

Anna Thaning, Ari T. Friberg, and Zbigniew Jaroszewicz, "Synthesis of diffractive axicons for partially coherent light based on asymptotic wave theory," Opt. Lett. 26, 1648-1650 (2001)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. J. Turunen and F. Wyrowski, eds., Diffractive Optic for Industrial and Commercial Applications (Akademie-Verlag, Berlin, 1997).
  2. S. Yu. Popov and A. T. Friberg, Opt. Lett. 16, 1639 (1998).
  3. J. Turunen, P. Pääkkönen, M. Kuittinen, P. Laakkonen, J. Simonen, T. Kajava, and M. Kaivola, J. Mod. Opt. 47, 2467 (2000).
  4. L. M. Soroko, Meso-Optics—Foundations and Applications (World Scientific, Singapore, 1996).
  5. V. Jarutis, R. Paskauskas, and A. Stabinis, Opt. Commun. 184, 105 (2000).
  6. J. Arlt and K. Dholakia, Opt. Commun. 177, 297 (2000).
  7. J. Sochacki, A. Kolodziejczyk, Z. Jaroszewicz, and S. Bara, Appl. Opt. 31, 5326 (1992).
  8. Z. Jaroszewicz, Axicons: Design and Propagation Properties, Vol. 5 of Research and Development Treatises (Polish Chapter, SPIE, Warsaw, 1997).
  9. S. Yu. Popov, A. T. Friberg, M. Honkanen, J. Lautanen, J. Turunen, and B. Schnabel, Opt. Commun. 154, 359 (1998).
  10. A. T. Friberg and S. Yu. Popov, J. Opt. Soc. Am. A 16, 1049 (1999).
  11. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, Cambridge, 1995), Secs. 4.3.2, 5.3.2, and 5.6.4.
  12. J. J. Stamnes, Waves in Focal Regions (Adam Hilger, Bristol, UK, 1986), Chap. 8.
  13. J. Pu, H. Zhang, S. Nemoto, W. Zhang, and W. Zhang, J. Opt. A 1, 730 (1999).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited