OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 15, Iss. 12 — Dec. 1, 1998
  • pp: 3057–3066

Beam-preshaping axicon focusing

Andrey G. Sedukhin  »View Author Affiliations

JOSA A, Vol. 15, Issue 12, pp. 3057-3066 (1998)

View Full Text Article

Enhanced HTML    Acrobat PDF (823 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



An approach to efficient axially symmetric focusing of a light beam to an extended line segment is studied wherein the on-axis intensity and the scale of transverse intensity distribution can be controlled precisely and simultaneously at any point of the segment. Schematic realization is based on employing two phase-only optical components in tandem, the first of which, with a disk form, performs prior central light beam shaping and marginal correction to smooth the edge slopes, while the second one, with an annular form, is used for the appropriate axicon-type focusing of a light beam to the segment. An instance is given of converting a collimated Gaussian laser beam into an oscillation-free nondiffracting zero-order Bessel beam reproduced on a finite interval.

© 1998 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics

Original Manuscript: March 16, 1998
Revised Manuscript: August 25, 1998
Manuscript Accepted: September 1, 1998
Published: December 1, 1998

Andrey G. Sedukhin, "Beam-preshaping axicon focusing," J. Opt. Soc. Am. A 15, 3057-3066 (1998)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. H. McLeod, “The 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. R. Tremblay, Y. D’Astous, G. Roy, M. Blanchard, “Laser plasmas optically pumped by focusing with an axicon a CO2–TEA laser beam in a high-pressure gas,” Opt. Commun. 28, 193–196 (1979). [CrossRef]
  4. M. Rioux, R. Tremblay, P. A. Bélanger, “Linear, annular, and radial focusing with axicons and applications to laser machining,” Appl. Opt. 17, 1532–1536 (1978). [CrossRef] [PubMed]
  5. G. Haüsler, W. Heckel, “Light sectioning with large depth and high resolution,” Appl. Opt. 27, 5165–5169 (1988). [CrossRef] [PubMed]
  6. S. Brinkmann, T. Dresel, R. Schreiner, J. Schwider, “Axicon-type test interferometer for cylindrical surfaces,” Optik 102, 106–110 (1996).
  7. S. Klewitz, F. Brinkmann, S. Herminghaus, P. Leiderer, “Bessel-beam-pumped turnable distributed-feedback laser,” Appl. Opt. 34, 7670–7673 (1995). [CrossRef] [PubMed]
  8. J. A. Davis, D. M. Cottrell, “Range-finding by triangulation with nondiffracting beams,” Appl. Opt. 35, 2159–2161 (1996). [CrossRef] [PubMed]
  9. J. A. Kim, K. I. Lee, H. R. Noh, W. Jhe, M. Ohtsu, “Atom trap in an axicon mirror,” Opt. Lett. 22, 117–119 (1997). [CrossRef] [PubMed]
  10. B. Hafizi, E. Esarey, P. Sprangle, “Laser-driven acceleration with Bessel beams,” Phys. Rev. E 55, 3539–3545 (1997). [CrossRef]
  11. J. Durnin, J. J. Miceli, J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987). [CrossRef] [PubMed]
  12. A. Vasara, J. Turunen, A. T. Friberg, “Realization of general non-diffracting beams with computer-generated holograms,” J. Opt. Soc. Am. A 6, 1748–1754 (1989). [CrossRef] [PubMed]
  13. R. M. Herman, T. A. Wiggins, “Production and uses of diffractionless beams,” J. Opt. Soc. Am. A 8, 932–942 (1991). [CrossRef]
  14. A. J. Cox, D. C. Dibble, “Holographic reproduction of a diffraction-free beam,” Appl. Opt. 30, 1330–1332 (1991). [CrossRef] [PubMed]
  15. J. Rosen, “Synthesis of nondiffracting beams in free space,” Opt. Lett. 19, 369–371 (1994). [PubMed]
  16. S. Fujiwara, “Optical properties of conic surfaces. I. Reflecting cone,” J. Opt. Soc. Am. 52, 287–292 (1962). [CrossRef]
  17. I. A. Mikhaltsova, V. I. Nalivaiko, I. S. Soldatenkov, “Kinoform axicons,” Optik 67, 267–278 (1984).
  18. G. Roy, R. Tremblay, “Influence of the divergence of a laser beam on the axial intensity distribution of an axicon,” Opt. Commun. 34, 1–3 (1980). [CrossRef]
  19. V. V. Korobkin, L. Ya. Polonskii, V. P. Poponin, L. N. Pyatnitskii, “Focusing of Gaussian and super-Gaussian laser beams by axicons to obtain continuous laser sparks,” Sov. J. Quantum Electron. 13, 178–183 (1986). [CrossRef]
  20. V. P. Koronkevich, I. G. Palchikova, “Kinoforms with increased depth of focus,” Optik 87, 92–93 (1991).
  21. J. Sochacki, S. Bará, Z. Jaroszewicz, A. Kołodziejczyk, “Phase retardation of the uniform-intensity axilens,” Opt. Lett. 31, 5326–5330 (1992).
  22. J. Sochacki, Z. Jaroszewicz, L. R. Staroński, A. Kołodziejczyk, “Annular-aperture logarithmic axicon,” J. Opt. Soc. Am. A 10, 1765–1768 (1993). [CrossRef]
  23. N. Davidson, A. A. Friesem, E. Hasman, “Efficient formation of nondiffracting beams with uniform intensity along the propagation direction,” Opt. Commun. 88, 326–330 (1992). [CrossRef]
  24. R. M. Herman, T. A. Wiggins, “High-efficiency diffractionless beams of constant size and intensity,” Appl. Opt. 33, 7297–7306 (1994). [CrossRef] [PubMed]
  25. S. Yu. Popov, A. T. Friberg, “Linear axicons in partially coherent light,” Opt. Eng. 34, 2567–2573 (1995). [CrossRef]
  26. J. Rosen, A. Yariv, “Synthesis of an arbitrary axial field profile by computer-generated holograms,” Opt. Lett. 19, 843–845 (1994). [CrossRef] [PubMed]
  27. S. N. Khonina, V. V. Kotlyar, V. A. Soifer, “Calculation of the focusators into a longitudinal line-segment and study of a focal area,” J. Mod. Opt. 40, 761–769 (1993). [CrossRef]
  28. B. Z. Dong, G. Z. Yang, B. Y. Gu, O. K. Ersoy, “Iterative optimization approach for designing an axicon with long focal depth and high transverse resolution,” J. Opt. Soc. Am. A 13, 97–103 (1996). [CrossRef]
  29. Z. Jaroszewicz, J. Sochacki, A. Kołodziejczyk, L. R. Staroński, “Apodized annular-aperture logarithmic axicon: smoothness and uniformity of intensity distributions,” Opt. Lett. 18, 1893–1895 (1993). [CrossRef] [PubMed]
  30. A. T. Friberg, “Stationary-phase analysis of generalized axicons,” J. Opt. Soc. Am. A 13, 743–750 (1996). [CrossRef]
  31. R. M. Herman, T. A. Wiggins, “Apodization of diffractionless beams,” Appl. Opt. 31, 5913–5915 (1992). [CrossRef] [PubMed]
  32. A. J. Cox, J. D’Anna, “Constant-axial-intensity nondiffracting beam,” Opt. Lett. 17, 232–234 (1992). [CrossRef] [PubMed]
  33. S. Yu. Popov, A. T. Friberg, “Apodization of generalized axicons to produce uniform axial line images,” Pure Appl. Opt. 7, 537–548 (1998). [CrossRef]
  34. H. Bartelt, “Applications of the tandem component: an element with optimum light efficiency,” Appl. Opt. 24, 3811–3816 (1985). [CrossRef] [PubMed]
  35. A. Papoulis, Systems and Transforms with Applications in Optics, 1st ed. (McGraw-Hill, New York, 1968), Chap. 7.
  36. V. P. Koronkevich, I. A. Mikhaltsova, E. G. Churin, Yu. I. Yurlov, “Lensacon,” Appl. Opt. 34, 5761–5772 (1995). [CrossRef] [PubMed]
  37. O. Bryngdahl, “Geometrical transformations in Optics,” J. Opt. Soc. Am. 64, 1092–1099 (1974). [CrossRef]
  38. C.-Y. Han, Y. Ishii, K. Murata, “Reshaping collimated laser beam with Gaussian profile to uniform profiles,” Appl. Opt. 22, 3644–3647 (1983). [CrossRef] [PubMed]
  39. N. C. Roberts, “Beam shaping by holographic filters,” Appl. Opt. 28, 31–32 (1989). [CrossRef] [PubMed]

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