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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 19 — Sep. 13, 2010
  • pp: 19566–19573

Improving directivity of laser beams by employing the effect of conical refraction in biaxial crystals

V. Peet  »View Author Affiliations

Optics Express, Vol. 18, Issue 19, pp. 19566-19573 (2010)

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The far-field pattern of Gaussian beams transformed by conical refraction in biaxial crystal is analyzed. It is shown that one of the two outgoing beam components acquires, under certain conditions, a profile with a dominating central peak. The width of this peak can be made significantly smaller than the width of the parent diffraction-limited Gaussian beam at the same propagation distance. The formation of such structurally-stable sub-diffraction beam core improves the beam directivity. Another component is a charge-one optical vortex, that forms the annular shell of the beam and carries the rest of the beam power.

© 2010 Optical Society of America

OCIS Codes
(140.3300) Lasers and laser optics : Laser beam shaping
(220.2560) Optical design and fabrication : Propagating methods

ToC Category:
Lasers and Laser Optics

Original Manuscript: July 2, 2010
Revised Manuscript: August 17, 2010
Manuscript Accepted: August 17, 2010
Published: August 31, 2010

V. Peet, "Improving directivity of laser beams by employing the effect of conical refraction in biaxial crystals," Opt. Express 18, 19566-19573 (2010)

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  1. J. Durnin, "Exact solution for nondiffracting beams: I. The scalar theory," J. Opt. Soc. Am. A 4, 651-654 (1987). [CrossRef]
  2. J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987). [CrossRef] [PubMed]
  3. V. Belyi, A. Forbes, N. Kazak, N. Khilo, and P. Ropot, "Bessel-like beams with z-dependent cone angles," Opt. Express 18, 1966-1973 (2010), http://www.opticsinfobase.org/oe/abstract.cfm?uri= oe-18-3-1966 [CrossRef] [PubMed]
  4. V. Bagini, F. Frezza, M. Santarsiero, G. Schettini, and G. S. Spagnolo, "Generalized Bessel-Gauss beams," J. Mod. Opt. 43, 1155-1166 (1996).
  5. M. V. Berry, "Conical diffraction asymptotics: fine structure of Poggendorff rings and axial spike," J. Opt. A: Pure Appl. Opt. 6, 289-300 (2004). [CrossRef]
  6. M. V. Berry, M. R. Jeffrey, and J. G. Lunney, "Conical diffraction: observations and theory," Proc. R. Soc. A 462, 1629-1642 (2006). [CrossRef]
  7. M. V. Berry and M. R. Jeffrey, "Conical diffraction: Hamilton’s diabolical point at the heart of crystal optics," Prog. Opt. 50, 13-50 (2007). [CrossRef]
  8. A. M. Belsky and M. A. Stepanov, "Internal conical refraction of coherent light beams," Opt. Commun. 167, 1-5 (1999). [CrossRef]
  9. C. F. Phelan, D. P. O’Dwyer, Y. P. Rakovich, J. F. Donegan, and J. G. Lunney, "Conical diffraction and Bessel beam formation with a high optical quality biaxial crystal," Opt. Express 17, 12891-12899 (2009), http: //www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-15-12891 [CrossRef] [PubMed]
  10. V. Peet and D. Zolotukhin,"Free-space evolution of focused Gaussian beams transformed by conical diffraction in a biaxial crystal," Opt. Commun. 283, 3011-3016 (2010). [CrossRef]
  11. T. A. King, W. Hogervorst, N. S. Kazak, N. A. Khilo, and A. A. Ryzhevich, "Formation of higher-order Bessel light beams in biaxial crystals," Opt. Commun. 187, 407-414 (2001). [CrossRef]
  12. D. P. O’Dwyer, C. F. Phelan, Y. P. Rakovich, P. R. Eastham, J. G. Lunney, and J. F. Donegan, "Generation of continuously tunable fractional optical orbital angular momentum using internal conical diffraction," Opt. Express 18 16480-16485 (2010), http://www.opticsinfobase.org/oe/abstractcfm?uri=oe-18-16-16480 [CrossRef] [PubMed]
  13. A. Abdolvand, K. G. Wilcox, T. K. Kalkandjiev, and E. U. Rafailov, "Conical refraction Nd : KGd(WO4)2 laser," Opt. Express 18 2753-2759 (2010), http://www.opticsinfobase.org/oe/abstract.cfm?uri= oe-18-3-2753 [CrossRef] [PubMed]
  14. K. G. Wilcox, A. Abdolvand, T. K. Kalkandjiev, and E. U. Rafailov, " Laser with simultaneous Gaussian and conical refraction outputs," Appl. Phys. B 99619-622 (2010). [CrossRef]

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