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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 3 — Jan. 20, 2007
  • pp: 312–318

Lens axicons in oblique illumination

Anna Burvall, Katarzyna Kołacz, Alexander V. Goncharov, Zbigniew Jaroszewicz, and Christopher Dainty  »View Author Affiliations

Applied Optics, Vol. 46, Issue 3, pp. 312-318 (2007)

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Lens axicons, i.e., lenses or lens systems designed to work like axicons, can be a simple and inexpensive way of generating the characteristic axicon focal line. In the design of most lens axicons, only on-axis properties have been considered. We present the design of a lens axicon with improved off-axis characteristics. It is constructed from a singlet lens but with a double-pass feature that allows for a line of uniform width and a stop positioned to minimize aberrations. We perform off-axis analysis and experiments for this system and for another lens axicon, one designed for its on-axis characteristics. We conclude that the off-axis performance of the double-pass axicon is better than both that of an ordinary cone axicon and that of the other lens axicon.

© 2007 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(080.3620) Geometric optics : Lens system design
(220.2740) Optical design and fabrication : Geometric optical design
(220.3620) Optical design and fabrication : Lens system design

ToC Category:
Optical Design and Fabrication

Original Manuscript: August 16, 2006
Manuscript Accepted: September 21, 2006
Published: January 4, 2007

Anna Burvall, Katarzyna Kolacz, Alexander V. Goncharov, Zbigniew Jaroszewicz, and Christopher Dainty, "Lens axicons in oblique illumination," Appl. Opt. 46, 312-318 (2007)

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  1. J. H. McLeod, "The axicon: a new type of optical element," J. Opt. Soc. Am. 18, 592-597 (1954). [CrossRef]
  2. Z. Jaroszewicz, Axicons: Design and Propagation Properties, Vol. 5 of Research and Development Treatises (SPIE Polish Chapter, Warsaw, 1997).
  3. X. Zhang, B. Zhao, and Z. Li, "Measurement method of spatial straightness error using nondiffracting beam and moiré-fringe technology," J. Opt. A , Pure Appl. Opt. 6, 121-126 (2004). [CrossRef]
  4. J. Arlt, T. Hitomi, and K. Dholakia, "Atom guiding along Laguerre-Gaussian and Bessel light beams," Appl. Phys. B 71, 549-554 (2000). [CrossRef]
  5. Y. F. Xiao, H. H. Chu, H. E. Tsai, C. H. Lee, J. Y. Lin, J. Wang, and S. Y. Chen, "Efficient generation of extended plasma waveguides with the axicon ignitor-heater scheme," Phys. Plasmas 11, L21-L23 (2004). [CrossRef]
  6. Z. Ding, H. Ren, Y. Zhao, J. S. Nelson, and Z. Chen, "High-resolution optical coherence tomography over a large depth range with an axicon lens," Opt. Lett. 27, 243-245 (2002). [CrossRef]
  7. G. Haüsler and W. Heckel, "Light sectioning with a large depth and high resolution," Appl. Opt. 27, 5165-5169 (1988). [CrossRef] [PubMed]
  8. W. Chi and N. George, "Electronic imaging using a logarithmic asphere," Opt. Lett. 26, 875-877 (2001). [CrossRef]
  9. J. Pu, H. Zhang, and S. Nemoto, "Uniform-intensity axicon: a lens coded with a symetrically cubic phase plate," Opt. Quantum Electron. 33, 653-660 (2001). [CrossRef]
  10. A. A. S. Awwal and J. U. Ahmed, "Refractive system for generation of high-power diffraction-free laser beams," Opt. Laser Technol. 33, 97-102 (2001). [CrossRef]
  11. K. M. Iftekharuddin, A. A. S. Awwal, and M. A. Karim, "Gaussian-to-Bessel beam transformation using a split refractive system," Appl. Opt. 32, 2252-2256 (1993). [CrossRef]
  12. R. M. Herman and T. A. Wiggins, "Production and uses of diffractionless beams," J. Opt. Soc. Am. A 8, 932-942 (1991). [CrossRef]
  13. R. M. Herman and T. A. Wiggins, "High-efficiency diffractionless beams of constant size and intensity," Appl. Opt. 33, 7297-7306 (1994). [CrossRef] [PubMed]
  14. T. Aruga, "Generation of long-range nondiffracting narrow light beams," Appl. Opt. 36, 3762-3768 (1997). [CrossRef] [PubMed]
  15. T. Aruga and S. W. Li, "Super high resolution for long-range imaging," Appl. Opt. 38, 2795-2799 (1999). [CrossRef]
  16. Z. Jaroszewicz and J. Morales, "Lens axicons: systems composed of a diverging aberrated lens and a perfect converging lens," J. Opt. Soc. Am. A 15, 2383-2390 (1998). [CrossRef]
  17. Z. Jaroszewicz and J. Morales, "Lens axicons: systems composed of a diverging aberrated lens and a converging aberrated lens," J. Opt. Soc. Am. A 16, 191-197 (1999). [CrossRef]
  18. J. Pu, H. Zhang, and S. Nemoto, "Lens axicons illuminated by Gaussian beams for generation of uniform-axial intensity Bessel fields," Opt. Eng. 39, 803-807 (2000). [CrossRef]
  19. A. Burvall, K. Kolacz, Z. Jaroszewicz, and A. T. Friberg, "A simple lens axicon," Appl. Opt. 43, 4838-4844 (2004). [CrossRef] [PubMed]
  20. J. Rayces, "Formation of axicon images," J. Opt. Soc. Am. 48, 576-578 (1958). [CrossRef]
  21. W. H. Steel, "Axicons with spherical surfaces," in Colloquia of the International Commission for Optics: Optics in Metrology, P. Mollet, ed. (Pergamon Press, 1960), pp. 181-192.
  22. We refer to positive spherical aberration when the wavefront aberration is positive, i.e., when the transverse and longitudinal aberrations are negative, and vice versa for negative spherical aberration. See, e.g., W. T. Welford, Aberrations of the Symmetrical Optical System (Academic Press, 1974).
  23. J. Sochacki, Z. Jaroszewicz, L. R. Staronski, and A. Kolodziejczyk, "Annular-aperture logarithmic axicon," J. Opt. Soc. Am. A 10, 1765-1768 (1993). [CrossRef]
  24. A. G. Sedukhin, "Beam-preshaping axicon focusing," J. Opt. Soc. Am. A 15, 3057-3066 (1998). [CrossRef]
  25. R. Arimoto, C. Saloma, T. Tanaka, and S. Kawata, "Imaging properties of an axicon in a scanning optical system," Appl. Opt. 31, 6653-6657 (1992). [CrossRef] [PubMed]
  26. Z. Bin and Z. Zhu, "Diffraction property of an axicon in oblique illumination," Appl. Opt. 37, 2563-2568 (1998). [CrossRef]
  27. T. Tanaka and S. Yamamoto, "Comparison of aberration between axicon and lens," Opt. Commun. 184, 113-118 (2000). [CrossRef]
  28. A. Thaning, Z. Jaroszewicz, and A. T. Friberg, "Diffractive axicons in oblique illumination: analysis and experiments and comparison with elliptical axicons," Appl. Opt. 42, 9-17 (2003). [CrossRef] [PubMed]
  29. G. E. Sommargren and H. J. Weaver, "Diffraction of light by an opaque sphere. I: Description and properties of the diffraction pattern," Appl. Opt. 29, 4646-4657 (1990). [CrossRef] [PubMed]
  30. J. J. Stamnes, Waves in Focal Regions (Adam Hilger, 1986).

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