Abstract

We report on the generation of a spiraling zero order Bessel beam by means of conventional axicon and the phase hologram. Obtained results are in a fairly good agreement with the theoretical predictions.

© 2010 Optical Society of America

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References

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  1. . J. Durnin, J. J. Miceli, and, J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
    [CrossRef] [PubMed]
  2. . J. Leach, G. M. Gibson, M. J. Padgett, E. Esposito, G. McConnell, A. J. Wright, and J. Girkin, “Generattion of achromatic Bessel beams using a compensated spatial light modulator,” Opt. Express 14, 5581–5585 (2006).
    [CrossRef] [PubMed]
  3. . J. Arlt, and K. Dholakia, “Generation of high-order Bessel beams by use of an axicon,” Opt. Commun. 177, 297–301 (2000).
    [CrossRef]
  4. . Y. Y. Schechner, R. Piestun, and J. Shamir, “Wave propagation with rotating intensity distributions,” Phys. Rev. E 54, R50–R53 (1996).
    [CrossRef]
  5. . V. V. Kotlyar, V. A. Soifer, and S. N. Khonina, “An algorithm for the generation of laser beams with longitudinal periodicity: Rotating images,” J. Mod. Opt. 44, 1409–1416 (1997).
    [CrossRef]
  6. . P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355–2369 (1998).
    [CrossRef]
  7. . C. Paterson, and R. Smith, “Helicon waves: propagation-invariant waves in a rotating coordinate system,” Opt. Commun. 124, 131–140 (1996).
    [CrossRef]
  8. . J. Rosen, B. Salik, and A. Yariv, “Pseudo-nondiffracting beams generby radial harmonic functions,” J. Opt. Soc. Am. A 12, 2446–2457 (1995).
    [CrossRef]
  9. . R. Piestun, B. Spector, and J. Shamir, “Wave fields in three dimensions: Analysis and Sybthesis,” J. Opt. Soc. Am. A 13, 1837–1848 (1996).
    [CrossRef]
  10. . S. Chávez-Cerda, G. S. McDonald, and G. H. C. New, “Nondiffracting beams: traveling, standing, rotating and spiral waves,” Opt. Commun. 123, 225–233 (1996).
    [CrossRef]
  11. . R. Piestun, B. Spector, and J. Shamir, “Unconventional light distributions in tree-dimensional domains,” J. Mod. Opt. 43, 1495–1507 (1996).
    [CrossRef]
  12. . C.A. Alonzo, P.J. Rodrigo and J. Glückstad, “Helico-conical optical beams: a product of helical and conical phase fronts,” Opt. Express 13, 1749–1760 (2005).
    [CrossRef] [PubMed]
  13. . R. Piestun and J. Shamir, “Synthesis of three-dimesnional light fields and applications,” Proceedings of the IEEE 90, 222–244 (2002).
    [CrossRef]
  14. . P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved Plasma Channel Generation Using Ultraintense Airy Beams,” Science 324, 229–232 (2009).
    [CrossRef] [PubMed]
  15. . V. Jarutis, A. Matijosius, P. Di Trapani, and A. Piskarskas, “Spiraling zero-order Bessel beam,” Opt. Lett. 34, 2129–2131 (2009).
    [CrossRef] [PubMed]

2009 (2)

. P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved Plasma Channel Generation Using Ultraintense Airy Beams,” Science 324, 229–232 (2009).
[CrossRef] [PubMed]

. V. Jarutis, A. Matijosius, P. Di Trapani, and A. Piskarskas, “Spiraling zero-order Bessel beam,” Opt. Lett. 34, 2129–2131 (2009).
[CrossRef] [PubMed]

2006 (1)

2005 (1)

2002 (1)

. R. Piestun and J. Shamir, “Synthesis of three-dimesnional light fields and applications,” Proceedings of the IEEE 90, 222–244 (2002).
[CrossRef]

2000 (1)

. J. Arlt, and K. Dholakia, “Generation of high-order Bessel beams by use of an axicon,” Opt. Commun. 177, 297–301 (2000).
[CrossRef]

1998 (1)

. P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355–2369 (1998).
[CrossRef]

1997 (1)

. V. V. Kotlyar, V. A. Soifer, and S. N. Khonina, “An algorithm for the generation of laser beams with longitudinal periodicity: Rotating images,” J. Mod. Opt. 44, 1409–1416 (1997).
[CrossRef]

1996 (5)

. Y. Y. Schechner, R. Piestun, and J. Shamir, “Wave propagation with rotating intensity distributions,” Phys. Rev. E 54, R50–R53 (1996).
[CrossRef]

. C. Paterson, and R. Smith, “Helicon waves: propagation-invariant waves in a rotating coordinate system,” Opt. Commun. 124, 131–140 (1996).
[CrossRef]

. R. Piestun, B. Spector, and J. Shamir, “Wave fields in three dimensions: Analysis and Sybthesis,” J. Opt. Soc. Am. A 13, 1837–1848 (1996).
[CrossRef]

. S. Chávez-Cerda, G. S. McDonald, and G. H. C. New, “Nondiffracting beams: traveling, standing, rotating and spiral waves,” Opt. Commun. 123, 225–233 (1996).
[CrossRef]

. R. Piestun, B. Spector, and J. Shamir, “Unconventional light distributions in tree-dimensional domains,” J. Mod. Opt. 43, 1495–1507 (1996).
[CrossRef]

1995 (1)

1987 (1)

. J. Durnin, J. J. Miceli, and, J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
[CrossRef] [PubMed]

Alonzo, C.A.

Arlt, J.

. J. Arlt, and K. Dholakia, “Generation of high-order Bessel beams by use of an axicon,” Opt. Commun. 177, 297–301 (2000).
[CrossRef]

Chávez-Cerda, S.

. S. Chávez-Cerda, G. S. McDonald, and G. H. C. New, “Nondiffracting beams: traveling, standing, rotating and spiral waves,” Opt. Commun. 123, 225–233 (1996).
[CrossRef]

Christodoulides, D. N.

. P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved Plasma Channel Generation Using Ultraintense Airy Beams,” Science 324, 229–232 (2009).
[CrossRef] [PubMed]

Dholakia, K.

. J. Arlt, and K. Dholakia, “Generation of high-order Bessel beams by use of an axicon,” Opt. Commun. 177, 297–301 (2000).
[CrossRef]

Di Trapani, P.

Durnin, J.

. J. Durnin, J. J. Miceli, and, J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
[CrossRef] [PubMed]

Eberly, J. H.

. J. Durnin, J. J. Miceli, and, J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
[CrossRef] [PubMed]

Esposito, E.

Friberg, A. T.

. P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355–2369 (1998).
[CrossRef]

Gibson, G. M.

Girkin, J.

Glückstad, J.

Honkanen, M.

. P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355–2369 (1998).
[CrossRef]

Jarutis, V.

Khonina, S. N.

. P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355–2369 (1998).
[CrossRef]

. V. V. Kotlyar, V. A. Soifer, and S. N. Khonina, “An algorithm for the generation of laser beams with longitudinal periodicity: Rotating images,” J. Mod. Opt. 44, 1409–1416 (1997).
[CrossRef]

Kolesik, M.

. P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved Plasma Channel Generation Using Ultraintense Airy Beams,” Science 324, 229–232 (2009).
[CrossRef] [PubMed]

Kotlyar, V. V.

. P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355–2369 (1998).
[CrossRef]

. V. V. Kotlyar, V. A. Soifer, and S. N. Khonina, “An algorithm for the generation of laser beams with longitudinal periodicity: Rotating images,” J. Mod. Opt. 44, 1409–1416 (1997).
[CrossRef]

Kuittinen, M.

. P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355–2369 (1998).
[CrossRef]

Lautanen, J.

. P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355–2369 (1998).
[CrossRef]

Leach, J.

Matijosius, A.

McConnell, G.

McDonald, G. S.

. S. Chávez-Cerda, G. S. McDonald, and G. H. C. New, “Nondiffracting beams: traveling, standing, rotating and spiral waves,” Opt. Commun. 123, 225–233 (1996).
[CrossRef]

Miceli, J. J.

. J. Durnin, J. J. Miceli, and, J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
[CrossRef] [PubMed]

Moloney, J. V.

. P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved Plasma Channel Generation Using Ultraintense Airy Beams,” Science 324, 229–232 (2009).
[CrossRef] [PubMed]

New, G. H. C.

. S. Chávez-Cerda, G. S. McDonald, and G. H. C. New, “Nondiffracting beams: traveling, standing, rotating and spiral waves,” Opt. Commun. 123, 225–233 (1996).
[CrossRef]

Pääkkönen, P.

. P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355–2369 (1998).
[CrossRef]

Padgett, M. J.

Paterson, C.

. C. Paterson, and R. Smith, “Helicon waves: propagation-invariant waves in a rotating coordinate system,” Opt. Commun. 124, 131–140 (1996).
[CrossRef]

Piestun, R.

. R. Piestun and J. Shamir, “Synthesis of three-dimesnional light fields and applications,” Proceedings of the IEEE 90, 222–244 (2002).
[CrossRef]

. R. Piestun, B. Spector, and J. Shamir, “Unconventional light distributions in tree-dimensional domains,” J. Mod. Opt. 43, 1495–1507 (1996).
[CrossRef]

. R. Piestun, B. Spector, and J. Shamir, “Wave fields in three dimensions: Analysis and Sybthesis,” J. Opt. Soc. Am. A 13, 1837–1848 (1996).
[CrossRef]

. Y. Y. Schechner, R. Piestun, and J. Shamir, “Wave propagation with rotating intensity distributions,” Phys. Rev. E 54, R50–R53 (1996).
[CrossRef]

Piskarskas, A.

Polynkin, P.

. P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved Plasma Channel Generation Using Ultraintense Airy Beams,” Science 324, 229–232 (2009).
[CrossRef] [PubMed]

Rodrigo, P.J.

Rosen, J.

Salik, B.

Schechner, Y. Y.

. Y. Y. Schechner, R. Piestun, and J. Shamir, “Wave propagation with rotating intensity distributions,” Phys. Rev. E 54, R50–R53 (1996).
[CrossRef]

Shamir, J.

. R. Piestun and J. Shamir, “Synthesis of three-dimesnional light fields and applications,” Proceedings of the IEEE 90, 222–244 (2002).
[CrossRef]

. R. Piestun, B. Spector, and J. Shamir, “Unconventional light distributions in tree-dimensional domains,” J. Mod. Opt. 43, 1495–1507 (1996).
[CrossRef]

. Y. Y. Schechner, R. Piestun, and J. Shamir, “Wave propagation with rotating intensity distributions,” Phys. Rev. E 54, R50–R53 (1996).
[CrossRef]

. R. Piestun, B. Spector, and J. Shamir, “Wave fields in three dimensions: Analysis and Sybthesis,” J. Opt. Soc. Am. A 13, 1837–1848 (1996).
[CrossRef]

Siviloglou, G. A.

. P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved Plasma Channel Generation Using Ultraintense Airy Beams,” Science 324, 229–232 (2009).
[CrossRef] [PubMed]

Smith, R.

. C. Paterson, and R. Smith, “Helicon waves: propagation-invariant waves in a rotating coordinate system,” Opt. Commun. 124, 131–140 (1996).
[CrossRef]

Soifer, V. A.

. P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355–2369 (1998).
[CrossRef]

. V. V. Kotlyar, V. A. Soifer, and S. N. Khonina, “An algorithm for the generation of laser beams with longitudinal periodicity: Rotating images,” J. Mod. Opt. 44, 1409–1416 (1997).
[CrossRef]

Spector, B.

. R. Piestun, B. Spector, and J. Shamir, “Wave fields in three dimensions: Analysis and Sybthesis,” J. Opt. Soc. Am. A 13, 1837–1848 (1996).
[CrossRef]

. R. Piestun, B. Spector, and J. Shamir, “Unconventional light distributions in tree-dimensional domains,” J. Mod. Opt. 43, 1495–1507 (1996).
[CrossRef]

Turunen, J.

. P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355–2369 (1998).
[CrossRef]

Wright, A. J.

Yariv, A.

J. Mod. Opt. (3)

. V. V. Kotlyar, V. A. Soifer, and S. N. Khonina, “An algorithm for the generation of laser beams with longitudinal periodicity: Rotating images,” J. Mod. Opt. 44, 1409–1416 (1997).
[CrossRef]

. P. Pääkkönen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355–2369 (1998).
[CrossRef]

. R. Piestun, B. Spector, and J. Shamir, “Unconventional light distributions in tree-dimensional domains,” J. Mod. Opt. 43, 1495–1507 (1996).
[CrossRef]

J. Opt. Soc. Am. A (2)

Opt. Commun. (3)

. S. Chávez-Cerda, G. S. McDonald, and G. H. C. New, “Nondiffracting beams: traveling, standing, rotating and spiral waves,” Opt. Commun. 123, 225–233 (1996).
[CrossRef]

. J. Arlt, and K. Dholakia, “Generation of high-order Bessel beams by use of an axicon,” Opt. Commun. 177, 297–301 (2000).
[CrossRef]

. C. Paterson, and R. Smith, “Helicon waves: propagation-invariant waves in a rotating coordinate system,” Opt. Commun. 124, 131–140 (1996).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Phys. Rev. E (1)

. Y. Y. Schechner, R. Piestun, and J. Shamir, “Wave propagation with rotating intensity distributions,” Phys. Rev. E 54, R50–R53 (1996).
[CrossRef]

Phys. Rev. Lett. (1)

. J. Durnin, J. J. Miceli, and, J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett. 58, 1499–1501 (1987).
[CrossRef] [PubMed]

Proceedings of the IEEE (1)

. R. Piestun and J. Shamir, “Synthesis of three-dimesnional light fields and applications,” Proceedings of the IEEE 90, 222–244 (2002).
[CrossRef]

Science (1)

. P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, “Curved Plasma Channel Generation Using Ultraintense Airy Beams,” Science 324, 229–232 (2009).
[CrossRef] [PubMed]

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Figures (3)

Fig. 1.
Fig. 1.

Experimental setup

Fig. 2.
Fig. 2.

The calculated (Δtheory) and measured (Δexp) lateral displacements of the Bessel beam with respect to the depth of phase modulation Φ0: (a) Φ0 = 0.57 rad, (b) Φ0 = 1.16 rad, (c) Φ0 = 1.73 rad, (d) Φ0 = 2.30 rad. The period of all holograms was P = 0.5 mm. The maximum theoretical displacement is Δmax = 9.5 μm.

Fig. 3.
Fig. 3.

The oscillations of the zero-order Bessel beam peak position with respect to distance beyond the axicon (a), here c(z) = xc (z) + iyc (z) is the position “vector” (actually complex number) of the considered beam peak. (b) 3D reconstruction of the center part of the zero-order Bessel beam light field. Parameters are P = 0.5 mm and Φ0 = 1.16 rad (Δtheory = 3.5 μm).

Tables (1)

Tables Icon

Table 1. Distances (L theory, L exp.) over which spiraling zero order Bessel beam makes one revolution. P is the hologram period of the phase modulation.

Equations (1)

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I ( r , ψ , z ) z J 0 2 ( s ) exp [ 2 ( w ) 2 ] ,

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