Abstract

We present a simple and efficient method to convert a Gaussian laser beam into a Bessel-like beam with a long and narrow focal line by using a nematic liquid crystal with a high third-order nonlinearity.

© 2006 Optical Society of America

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  1. M. Rioux, R. Tremblay, and P.-A. Belanger, "Linear, annular, and radial focusing with axicons and applications to laser machining," Appl. Opt. 17, 1532-1536 (1978).
    [CrossRef] [PubMed]
  2. R. B. Charters, B. Luther-Davies, and F. Ladouceur, "Improved performance of laser written channel waveguides using a TEM01* beam," IEEE Photonics Technol. Lett. 11, 1617-1619 (1999).
    [CrossRef]
  3. J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2001).
    [CrossRef]
  4. M. Lei and B. Yao, "Characteristics of beam profile of Gaussian beam passing through an axicon," Opt. Commun. 239, 367-372 (2004).
    [CrossRef]
  5. J. Arlt, T. Hitomi, and K. Dholakia, "Atom guiding along Laguerre-Gaussian and Bessel light beams," Appl. Phys. B 71, 549-554 (2000).
    [CrossRef]
  6. M. Florjanczyk and R. Tremblay, "Guiding of atoms in a travelling-wave laser trap formed by the axicon," Opt. Commun. 73, 448-450 (1989).
    [CrossRef]
  7. G. Bickel, G. Häusler, and M. Maul, "Triangulation with expanded range of depth," Opt. Eng. (Bellingham) 24, 975-977 (1985).
  8. Z. Jaroszewicz, V. Climent, V. Duran, J. Lancis, A. Kolodziejczyk, A. Burvall, and A. T. Friberg, "Programmable axicon for variable inclination of the focal segment," J. Mod. Opt. 51, 2185-2190 (2004).
    [CrossRef]
  9. G. Hausler and W. Heskel, "Light sectioning with large depth and high resolution," Appl. Opt. 27, 5165-5169 (1988).
    [CrossRef] [PubMed]
  10. J. H. McLeod, "The axicon: a new type of optical element," J. Opt. Soc. Am. 44, 592-597 (1954).
    [CrossRef]
  11. J. H. McLeod, "Axicons and their uses," J. Opt. Soc. Am. 50, 166-169 (1960).
    [CrossRef]
  12. J. Turunen, A. Vasara, and A. T. Friberg, "Holographic generation of diffraction-free beams," Appl. Opt. 27, 3959-3962 (1988).
    [CrossRef] [PubMed]
  13. A. Vasara, J. Turunen, and A. T. Friberg, "Realization of general nondiffracting beams with computer-generated holograms," J. Opt. Soc. Am. A 6, 1748-1754 (1989).
    [CrossRef] [PubMed]
  14. J. Arlt and K. Dholakia, "Generation of high-order Bessel beams by use of an axicon," Opt. Commun. 177, 297-301 (2000).
    [CrossRef]
  15. J. Durnin, "Exact solutions for nondiffracting beams. I. The scalar theory," J. Opt. Soc. Am. A 4, 651-654 (1987).
    [CrossRef]
  16. J. Durnin, J. J. Miceli Jr., and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
    [CrossRef] [PubMed]
  17. C. J. R. Sheppard and A. Choudhury, "Annular pupils, radial polarization, and superresolution," Appl. Opt. 43, 4322-4327 (2004).
    [CrossRef] [PubMed]
  18. P. Pääkkönen, J. Simonen, M. Honkanen, and J. Turunen, "Two-element diffractive systems for generation of Bessel fields," J. Mod. Opt. 49, 1943-1953 (2002).
    [CrossRef]
  19. A. N. Khilo, E. G. Katranji and A. A. Ryzhevich, "Axicon-based Bessel resonator: analytical description and environment," J. Opt. Soc. Am. A 18, 1986-1992 (2001).
    [CrossRef]
  20. K. Uehara and H. Kikuchi, "Generation of nearly diffraction-free laser beams," Appl. Phys. B Lasers Opt. 48, 125-129 (1989).
    [CrossRef]
  21. T. Erdogan, O. King, G. W. Wicks, D. G. Hall, E. Anderson, and M. J. Rooks, "Circularly-symmetric operation of a concentric-circle-grating, surface-emitting, AlGaAs/GaAs quantum-well semiconductor laser," Appl. Phys. Lett. 60, 1921-1923 (1992).
    [CrossRef]
  22. P. Pääkkönen and J. Turunen, "Resonators with Bessel-Gauss modes," Opt. Commun. 156, 359-366 (1998).
    [CrossRef]
  23. A. Hakola, S. C. Buchter, T. Kajava, H. Elfström, J. Simonen, P. Pääkkönen, and J. Turunen, "Bessel-Gauss output beam from a diode-pumped Nd:YAG laser," Opt. Commun. 238, 335-340 (2004).
  24. S. Yu Popov and A. T. Friberg, "Apodization of generalized axicons to produce uniform axial line images," Pure Appl. Opt. 7, 537-548 (1998).
    [CrossRef]
  25. S. Yu Popov, A. T. Friberg, M. Honkanen, J. Lautanen, J. Turunen, and B. Schnabel, "Apodized annular-aperture diffractive axicons fabricated by continuous-path-control electron beam lithography," Opt. Commun. 154, 359-367 (1998).
    [CrossRef]
  26. I. Kallioniemi, J. Saarinen, K. Blomstedt, and J. Turunen, "Polygon approximation of the fringes of diffractive elements," Appl. Opt. 36, 7217-7223 (1997).
    [CrossRef]
  27. A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, "Creation of a hollow laser beam using self-phase modulation in a nematic liquid crystal," Opt. Commun. 232, 77-82 (2004).
    [CrossRef]
  28. J. J. Wu, S. H. Chen, J. Y. Fan, and G. S. Ong, "Propagation of a Gaussian-profile laser beam in nematic liquid crystals and the structure of its nonlinear diffraction rings," J. Opt. Soc. Am. B 7, 1147-1157 (1990).
    [CrossRef]
  29. I. C. Khoo, J. Y. Hou, T. H. Liu, P. Y. Yan, R. R. Michael, and G. M. Finn, "Transverse self-phase modulation and bistability in the transmission of a laser beam through a nonlinear thin film," J. Opt. Soc. Am. B 4, 886-891 (1987).
    [CrossRef]
  30. M. A. Bolshtyansky, N. V. Tabiryan, B. Ya. Zeldovich, "BRIEFING: beam reconstruction by iteration of an electromagnetic field with an induced nonlinearity gauge," Opt. Lett. 22, 22-24 (1997).
    [CrossRef] [PubMed]
  31. A. L. Murazyan, N. V. Tabiryan, T. Vogeler, and T. Tschudi, "Non-resonant optical limiting due to self-induced multiwave interference," Optik 101, 145-148 (1996).
  32. N. V. Tabiryan, B. Ya. Zel'dovich, and A. V. Sukhov, "Orientational optical nonlinearity of liquid crystals," Mol. Cryst. Liq. Cryst. Sci. Technol. Sect. A 136, 139 (1986).
    [CrossRef]
  33. A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, "Self-focusing in a nematic liquid crystal for measurements of wavefront distortions," Opt. Commun. 232, 439-442 (2004).
    [CrossRef]

2004 (6)

M. Lei and B. Yao, "Characteristics of beam profile of Gaussian beam passing through an axicon," Opt. Commun. 239, 367-372 (2004).
[CrossRef]

Z. Jaroszewicz, V. Climent, V. Duran, J. Lancis, A. Kolodziejczyk, A. Burvall, and A. T. Friberg, "Programmable axicon for variable inclination of the focal segment," J. Mod. Opt. 51, 2185-2190 (2004).
[CrossRef]

C. J. R. Sheppard and A. Choudhury, "Annular pupils, radial polarization, and superresolution," Appl. Opt. 43, 4322-4327 (2004).
[CrossRef] [PubMed]

A. Hakola, S. C. Buchter, T. Kajava, H. Elfström, J. Simonen, P. Pääkkönen, and J. Turunen, "Bessel-Gauss output beam from a diode-pumped Nd:YAG laser," Opt. Commun. 238, 335-340 (2004).

A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, "Creation of a hollow laser beam using self-phase modulation in a nematic liquid crystal," Opt. Commun. 232, 77-82 (2004).
[CrossRef]

A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, "Self-focusing in a nematic liquid crystal for measurements of wavefront distortions," Opt. Commun. 232, 439-442 (2004).
[CrossRef]

2002 (1)

P. Pääkkönen, J. Simonen, M. Honkanen, and J. Turunen, "Two-element diffractive systems for generation of Bessel fields," J. Mod. Opt. 49, 1943-1953 (2002).
[CrossRef]

2001 (2)

A. N. Khilo, E. G. Katranji and A. A. Ryzhevich, "Axicon-based Bessel resonator: analytical description and environment," J. Opt. Soc. Am. A 18, 1986-1992 (2001).
[CrossRef]

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2001).
[CrossRef]

2000 (2)

J. Arlt, T. Hitomi, and K. Dholakia, "Atom guiding along Laguerre-Gaussian and Bessel light beams," Appl. Phys. B 71, 549-554 (2000).
[CrossRef]

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

1999 (1)

R. B. Charters, B. Luther-Davies, and F. Ladouceur, "Improved performance of laser written channel waveguides using a TEM01* beam," IEEE Photonics Technol. Lett. 11, 1617-1619 (1999).
[CrossRef]

1998 (3)

P. Pääkkönen and J. Turunen, "Resonators with Bessel-Gauss modes," Opt. Commun. 156, 359-366 (1998).
[CrossRef]

S. Yu Popov and A. T. Friberg, "Apodization of generalized axicons to produce uniform axial line images," Pure Appl. Opt. 7, 537-548 (1998).
[CrossRef]

S. Yu Popov, A. T. Friberg, M. Honkanen, J. Lautanen, J. Turunen, and B. Schnabel, "Apodized annular-aperture diffractive axicons fabricated by continuous-path-control electron beam lithography," Opt. Commun. 154, 359-367 (1998).
[CrossRef]

1997 (2)

1996 (1)

A. L. Murazyan, N. V. Tabiryan, T. Vogeler, and T. Tschudi, "Non-resonant optical limiting due to self-induced multiwave interference," Optik 101, 145-148 (1996).

1992 (1)

T. Erdogan, O. King, G. W. Wicks, D. G. Hall, E. Anderson, and M. J. Rooks, "Circularly-symmetric operation of a concentric-circle-grating, surface-emitting, AlGaAs/GaAs quantum-well semiconductor laser," Appl. Phys. Lett. 60, 1921-1923 (1992).
[CrossRef]

1990 (1)

1989 (3)

M. Florjanczyk and R. Tremblay, "Guiding of atoms in a travelling-wave laser trap formed by the axicon," Opt. Commun. 73, 448-450 (1989).
[CrossRef]

A. Vasara, J. Turunen, and A. T. Friberg, "Realization of general nondiffracting beams with computer-generated holograms," J. Opt. Soc. Am. A 6, 1748-1754 (1989).
[CrossRef] [PubMed]

K. Uehara and H. Kikuchi, "Generation of nearly diffraction-free laser beams," Appl. Phys. B Lasers Opt. 48, 125-129 (1989).
[CrossRef]

1988 (2)

1987 (3)

1986 (1)

N. V. Tabiryan, B. Ya. Zel'dovich, and A. V. Sukhov, "Orientational optical nonlinearity of liquid crystals," Mol. Cryst. Liq. Cryst. Sci. Technol. Sect. A 136, 139 (1986).
[CrossRef]

1985 (1)

G. Bickel, G. Häusler, and M. Maul, "Triangulation with expanded range of depth," Opt. Eng. (Bellingham) 24, 975-977 (1985).

1978 (1)

1960 (1)

1954 (1)

Anderson, E.

T. Erdogan, O. King, G. W. Wicks, D. G. Hall, E. Anderson, and M. J. Rooks, "Circularly-symmetric operation of a concentric-circle-grating, surface-emitting, AlGaAs/GaAs quantum-well semiconductor laser," Appl. Phys. Lett. 60, 1921-1923 (1992).
[CrossRef]

Arlt, J.

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2001).
[CrossRef]

J. Arlt, T. Hitomi, and K. Dholakia, "Atom guiding along Laguerre-Gaussian and Bessel light beams," Appl. Phys. B 71, 549-554 (2000).
[CrossRef]

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

Belanger, P.-A.

Bickel, G.

G. Bickel, G. Häusler, and M. Maul, "Triangulation with expanded range of depth," Opt. Eng. (Bellingham) 24, 975-977 (1985).

Blomstedt, K.

Bolshtyansky, M. A.

Buchter, S. C.

A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, "Self-focusing in a nematic liquid crystal for measurements of wavefront distortions," Opt. Commun. 232, 439-442 (2004).
[CrossRef]

A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, "Creation of a hollow laser beam using self-phase modulation in a nematic liquid crystal," Opt. Commun. 232, 77-82 (2004).
[CrossRef]

A. Hakola, S. C. Buchter, T. Kajava, H. Elfström, J. Simonen, P. Pääkkönen, and J. Turunen, "Bessel-Gauss output beam from a diode-pumped Nd:YAG laser," Opt. Commun. 238, 335-340 (2004).

Burvall, A.

Z. Jaroszewicz, V. Climent, V. Duran, J. Lancis, A. Kolodziejczyk, A. Burvall, and A. T. Friberg, "Programmable axicon for variable inclination of the focal segment," J. Mod. Opt. 51, 2185-2190 (2004).
[CrossRef]

Charters, R. B.

R. B. Charters, B. Luther-Davies, and F. Ladouceur, "Improved performance of laser written channel waveguides using a TEM01* beam," IEEE Photonics Technol. Lett. 11, 1617-1619 (1999).
[CrossRef]

Chen, S. H.

Choudhury, A.

Climent, V.

Z. Jaroszewicz, V. Climent, V. Duran, J. Lancis, A. Kolodziejczyk, A. Burvall, and A. T. Friberg, "Programmable axicon for variable inclination of the focal segment," J. Mod. Opt. 51, 2185-2190 (2004).
[CrossRef]

Dholakia, K.

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2001).
[CrossRef]

J. Arlt, T. Hitomi, and K. Dholakia, "Atom guiding along Laguerre-Gaussian and Bessel light beams," Appl. Phys. B 71, 549-554 (2000).
[CrossRef]

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

Duran, V.

Z. Jaroszewicz, V. Climent, V. Duran, J. Lancis, A. Kolodziejczyk, A. Burvall, and A. T. Friberg, "Programmable axicon for variable inclination of the focal segment," J. Mod. Opt. 51, 2185-2190 (2004).
[CrossRef]

Durnin, J.

J. Durnin, "Exact solutions for nondiffracting beams. I. The scalar theory," J. Opt. Soc. Am. A 4, 651-654 (1987).
[CrossRef]

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

Eberly, J. H.

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

Elfström, H.

A. Hakola, S. C. Buchter, T. Kajava, H. Elfström, J. Simonen, P. Pääkkönen, and J. Turunen, "Bessel-Gauss output beam from a diode-pumped Nd:YAG laser," Opt. Commun. 238, 335-340 (2004).

Erdogan, T.

T. Erdogan, O. King, G. W. Wicks, D. G. Hall, E. Anderson, and M. J. Rooks, "Circularly-symmetric operation of a concentric-circle-grating, surface-emitting, AlGaAs/GaAs quantum-well semiconductor laser," Appl. Phys. Lett. 60, 1921-1923 (1992).
[CrossRef]

Fan, J. Y.

Finn, G. M.

Florjanczyk, M.

M. Florjanczyk and R. Tremblay, "Guiding of atoms in a travelling-wave laser trap formed by the axicon," Opt. Commun. 73, 448-450 (1989).
[CrossRef]

Friberg, A. T.

Z. Jaroszewicz, V. Climent, V. Duran, J. Lancis, A. Kolodziejczyk, A. Burvall, and A. T. Friberg, "Programmable axicon for variable inclination of the focal segment," J. Mod. Opt. 51, 2185-2190 (2004).
[CrossRef]

S. Yu Popov, A. T. Friberg, M. Honkanen, J. Lautanen, J. Turunen, and B. Schnabel, "Apodized annular-aperture diffractive axicons fabricated by continuous-path-control electron beam lithography," Opt. Commun. 154, 359-367 (1998).
[CrossRef]

S. Yu Popov and A. T. Friberg, "Apodization of generalized axicons to produce uniform axial line images," Pure Appl. Opt. 7, 537-548 (1998).
[CrossRef]

A. Vasara, J. Turunen, and A. T. Friberg, "Realization of general nondiffracting beams with computer-generated holograms," J. Opt. Soc. Am. A 6, 1748-1754 (1989).
[CrossRef] [PubMed]

J. Turunen, A. Vasara, and A. T. Friberg, "Holographic generation of diffraction-free beams," Appl. Opt. 27, 3959-3962 (1988).
[CrossRef] [PubMed]

Garces-Chavez, V.

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2001).
[CrossRef]

Hakola, A.

A. Hakola, S. C. Buchter, T. Kajava, H. Elfström, J. Simonen, P. Pääkkönen, and J. Turunen, "Bessel-Gauss output beam from a diode-pumped Nd:YAG laser," Opt. Commun. 238, 335-340 (2004).

Hall, D. G.

T. Erdogan, O. King, G. W. Wicks, D. G. Hall, E. Anderson, and M. J. Rooks, "Circularly-symmetric operation of a concentric-circle-grating, surface-emitting, AlGaAs/GaAs quantum-well semiconductor laser," Appl. Phys. Lett. 60, 1921-1923 (1992).
[CrossRef]

Hausler, G.

Häusler, G.

G. Bickel, G. Häusler, and M. Maul, "Triangulation with expanded range of depth," Opt. Eng. (Bellingham) 24, 975-977 (1985).

Heskel, W.

Hitomi, T.

J. Arlt, T. Hitomi, and K. Dholakia, "Atom guiding along Laguerre-Gaussian and Bessel light beams," Appl. Phys. B 71, 549-554 (2000).
[CrossRef]

Honkanen, M.

P. Pääkkönen, J. Simonen, M. Honkanen, and J. Turunen, "Two-element diffractive systems for generation of Bessel fields," J. Mod. Opt. 49, 1943-1953 (2002).
[CrossRef]

S. Yu Popov, A. T. Friberg, M. Honkanen, J. Lautanen, J. Turunen, and B. Schnabel, "Apodized annular-aperture diffractive axicons fabricated by continuous-path-control electron beam lithography," Opt. Commun. 154, 359-367 (1998).
[CrossRef]

Hou, J. Y.

Jaroszewicz, Z.

Z. Jaroszewicz, V. Climent, V. Duran, J. Lancis, A. Kolodziejczyk, A. Burvall, and A. T. Friberg, "Programmable axicon for variable inclination of the focal segment," J. Mod. Opt. 51, 2185-2190 (2004).
[CrossRef]

Kaivola, M.

A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, "Creation of a hollow laser beam using self-phase modulation in a nematic liquid crystal," Opt. Commun. 232, 77-82 (2004).
[CrossRef]

A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, "Self-focusing in a nematic liquid crystal for measurements of wavefront distortions," Opt. Commun. 232, 439-442 (2004).
[CrossRef]

Kajava, T.

A. Hakola, S. C. Buchter, T. Kajava, H. Elfström, J. Simonen, P. Pääkkönen, and J. Turunen, "Bessel-Gauss output beam from a diode-pumped Nd:YAG laser," Opt. Commun. 238, 335-340 (2004).

Kallioniemi, I.

Katranji, E. G.

Khilo, A. N.

Khoo, I. C.

Kikuchi, H.

K. Uehara and H. Kikuchi, "Generation of nearly diffraction-free laser beams," Appl. Phys. B Lasers Opt. 48, 125-129 (1989).
[CrossRef]

King, O.

T. Erdogan, O. King, G. W. Wicks, D. G. Hall, E. Anderson, and M. J. Rooks, "Circularly-symmetric operation of a concentric-circle-grating, surface-emitting, AlGaAs/GaAs quantum-well semiconductor laser," Appl. Phys. Lett. 60, 1921-1923 (1992).
[CrossRef]

Kolodziejczyk, A.

Z. Jaroszewicz, V. Climent, V. Duran, J. Lancis, A. Kolodziejczyk, A. Burvall, and A. T. Friberg, "Programmable axicon for variable inclination of the focal segment," J. Mod. Opt. 51, 2185-2190 (2004).
[CrossRef]

Ladouceur, F.

R. B. Charters, B. Luther-Davies, and F. Ladouceur, "Improved performance of laser written channel waveguides using a TEM01* beam," IEEE Photonics Technol. Lett. 11, 1617-1619 (1999).
[CrossRef]

Lancis, J.

Z. Jaroszewicz, V. Climent, V. Duran, J. Lancis, A. Kolodziejczyk, A. Burvall, and A. T. Friberg, "Programmable axicon for variable inclination of the focal segment," J. Mod. Opt. 51, 2185-2190 (2004).
[CrossRef]

Lautanen, J.

S. Yu Popov, A. T. Friberg, M. Honkanen, J. Lautanen, J. Turunen, and B. Schnabel, "Apodized annular-aperture diffractive axicons fabricated by continuous-path-control electron beam lithography," Opt. Commun. 154, 359-367 (1998).
[CrossRef]

Lei, M.

M. Lei and B. Yao, "Characteristics of beam profile of Gaussian beam passing through an axicon," Opt. Commun. 239, 367-372 (2004).
[CrossRef]

Liu, T. H.

Luther-Davies, B.

R. B. Charters, B. Luther-Davies, and F. Ladouceur, "Improved performance of laser written channel waveguides using a TEM01* beam," IEEE Photonics Technol. Lett. 11, 1617-1619 (1999).
[CrossRef]

Maul, M.

G. Bickel, G. Häusler, and M. Maul, "Triangulation with expanded range of depth," Opt. Eng. (Bellingham) 24, 975-977 (1985).

McLeod, J. H.

Miceli, J. J.

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

Michael, R. R.

Murazyan, A. L.

A. L. Murazyan, N. V. Tabiryan, T. Vogeler, and T. Tschudi, "Non-resonant optical limiting due to self-induced multiwave interference," Optik 101, 145-148 (1996).

Ong, G. S.

Pääkkönen, P.

A. Hakola, S. C. Buchter, T. Kajava, H. Elfström, J. Simonen, P. Pääkkönen, and J. Turunen, "Bessel-Gauss output beam from a diode-pumped Nd:YAG laser," Opt. Commun. 238, 335-340 (2004).

P. Pääkkönen, J. Simonen, M. Honkanen, and J. Turunen, "Two-element diffractive systems for generation of Bessel fields," J. Mod. Opt. 49, 1943-1953 (2002).
[CrossRef]

P. Pääkkönen and J. Turunen, "Resonators with Bessel-Gauss modes," Opt. Commun. 156, 359-366 (1998).
[CrossRef]

Rioux, M.

Rooks, M. J.

T. Erdogan, O. King, G. W. Wicks, D. G. Hall, E. Anderson, and M. J. Rooks, "Circularly-symmetric operation of a concentric-circle-grating, surface-emitting, AlGaAs/GaAs quantum-well semiconductor laser," Appl. Phys. Lett. 60, 1921-1923 (1992).
[CrossRef]

Ryzhevich, A. A.

Saarinen, J.

Schnabel, B.

S. Yu Popov, A. T. Friberg, M. Honkanen, J. Lautanen, J. Turunen, and B. Schnabel, "Apodized annular-aperture diffractive axicons fabricated by continuous-path-control electron beam lithography," Opt. Commun. 154, 359-367 (1998).
[CrossRef]

Sheppard, C. J. R.

Shevchenko, A.

A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, "Creation of a hollow laser beam using self-phase modulation in a nematic liquid crystal," Opt. Commun. 232, 77-82 (2004).
[CrossRef]

A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, "Self-focusing in a nematic liquid crystal for measurements of wavefront distortions," Opt. Commun. 232, 439-442 (2004).
[CrossRef]

Sibbett, W.

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2001).
[CrossRef]

Simonen, J.

A. Hakola, S. C. Buchter, T. Kajava, H. Elfström, J. Simonen, P. Pääkkönen, and J. Turunen, "Bessel-Gauss output beam from a diode-pumped Nd:YAG laser," Opt. Commun. 238, 335-340 (2004).

P. Pääkkönen, J. Simonen, M. Honkanen, and J. Turunen, "Two-element diffractive systems for generation of Bessel fields," J. Mod. Opt. 49, 1943-1953 (2002).
[CrossRef]

Sukhov, A. V.

N. V. Tabiryan, B. Ya. Zel'dovich, and A. V. Sukhov, "Orientational optical nonlinearity of liquid crystals," Mol. Cryst. Liq. Cryst. Sci. Technol. Sect. A 136, 139 (1986).
[CrossRef]

Tabiryan, N. V.

A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, "Self-focusing in a nematic liquid crystal for measurements of wavefront distortions," Opt. Commun. 232, 439-442 (2004).
[CrossRef]

A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, "Creation of a hollow laser beam using self-phase modulation in a nematic liquid crystal," Opt. Commun. 232, 77-82 (2004).
[CrossRef]

M. A. Bolshtyansky, N. V. Tabiryan, B. Ya. Zeldovich, "BRIEFING: beam reconstruction by iteration of an electromagnetic field with an induced nonlinearity gauge," Opt. Lett. 22, 22-24 (1997).
[CrossRef] [PubMed]

A. L. Murazyan, N. V. Tabiryan, T. Vogeler, and T. Tschudi, "Non-resonant optical limiting due to self-induced multiwave interference," Optik 101, 145-148 (1996).

N. V. Tabiryan, B. Ya. Zel'dovich, and A. V. Sukhov, "Orientational optical nonlinearity of liquid crystals," Mol. Cryst. Liq. Cryst. Sci. Technol. Sect. A 136, 139 (1986).
[CrossRef]

Tremblay, R.

M. Florjanczyk and R. Tremblay, "Guiding of atoms in a travelling-wave laser trap formed by the axicon," Opt. Commun. 73, 448-450 (1989).
[CrossRef]

M. Rioux, R. Tremblay, and P.-A. Belanger, "Linear, annular, and radial focusing with axicons and applications to laser machining," Appl. Opt. 17, 1532-1536 (1978).
[CrossRef] [PubMed]

Tschudi, T.

A. L. Murazyan, N. V. Tabiryan, T. Vogeler, and T. Tschudi, "Non-resonant optical limiting due to self-induced multiwave interference," Optik 101, 145-148 (1996).

Turunen, J.

A. Hakola, S. C. Buchter, T. Kajava, H. Elfström, J. Simonen, P. Pääkkönen, and J. Turunen, "Bessel-Gauss output beam from a diode-pumped Nd:YAG laser," Opt. Commun. 238, 335-340 (2004).

P. Pääkkönen, J. Simonen, M. Honkanen, and J. Turunen, "Two-element diffractive systems for generation of Bessel fields," J. Mod. Opt. 49, 1943-1953 (2002).
[CrossRef]

P. Pääkkönen and J. Turunen, "Resonators with Bessel-Gauss modes," Opt. Commun. 156, 359-366 (1998).
[CrossRef]

S. Yu Popov, A. T. Friberg, M. Honkanen, J. Lautanen, J. Turunen, and B. Schnabel, "Apodized annular-aperture diffractive axicons fabricated by continuous-path-control electron beam lithography," Opt. Commun. 154, 359-367 (1998).
[CrossRef]

I. Kallioniemi, J. Saarinen, K. Blomstedt, and J. Turunen, "Polygon approximation of the fringes of diffractive elements," Appl. Opt. 36, 7217-7223 (1997).
[CrossRef]

A. Vasara, J. Turunen, and A. T. Friberg, "Realization of general nondiffracting beams with computer-generated holograms," J. Opt. Soc. Am. A 6, 1748-1754 (1989).
[CrossRef] [PubMed]

J. Turunen, A. Vasara, and A. T. Friberg, "Holographic generation of diffraction-free beams," Appl. Opt. 27, 3959-3962 (1988).
[CrossRef] [PubMed]

Uehara, K.

K. Uehara and H. Kikuchi, "Generation of nearly diffraction-free laser beams," Appl. Phys. B Lasers Opt. 48, 125-129 (1989).
[CrossRef]

Vasara, A.

Vogeler, T.

A. L. Murazyan, N. V. Tabiryan, T. Vogeler, and T. Tschudi, "Non-resonant optical limiting due to self-induced multiwave interference," Optik 101, 145-148 (1996).

Wicks, G. W.

T. Erdogan, O. King, G. W. Wicks, D. G. Hall, E. Anderson, and M. J. Rooks, "Circularly-symmetric operation of a concentric-circle-grating, surface-emitting, AlGaAs/GaAs quantum-well semiconductor laser," Appl. Phys. Lett. 60, 1921-1923 (1992).
[CrossRef]

Wu, J. J.

Ya. Zeldovich, B.

Yan, P. Y.

Yao, B.

M. Lei and B. Yao, "Characteristics of beam profile of Gaussian beam passing through an axicon," Opt. Commun. 239, 367-372 (2004).
[CrossRef]

Yu Popov, S.

S. Yu Popov, A. T. Friberg, M. Honkanen, J. Lautanen, J. Turunen, and B. Schnabel, "Apodized annular-aperture diffractive axicons fabricated by continuous-path-control electron beam lithography," Opt. Commun. 154, 359-367 (1998).
[CrossRef]

S. Yu Popov and A. T. Friberg, "Apodization of generalized axicons to produce uniform axial line images," Pure Appl. Opt. 7, 537-548 (1998).
[CrossRef]

Zel'dovich, B. Ya.

N. V. Tabiryan, B. Ya. Zel'dovich, and A. V. Sukhov, "Orientational optical nonlinearity of liquid crystals," Mol. Cryst. Liq. Cryst. Sci. Technol. Sect. A 136, 139 (1986).
[CrossRef]

Appl. Opt. (5)

Appl. Phys. B (1)

J. Arlt, T. Hitomi, and K. Dholakia, "Atom guiding along Laguerre-Gaussian and Bessel light beams," Appl. Phys. B 71, 549-554 (2000).
[CrossRef]

Appl. Phys. B Lasers Opt. (1)

K. Uehara and H. Kikuchi, "Generation of nearly diffraction-free laser beams," Appl. Phys. B Lasers Opt. 48, 125-129 (1989).
[CrossRef]

Appl. Phys. Lett. (1)

T. Erdogan, O. King, G. W. Wicks, D. G. Hall, E. Anderson, and M. J. Rooks, "Circularly-symmetric operation of a concentric-circle-grating, surface-emitting, AlGaAs/GaAs quantum-well semiconductor laser," Appl. Phys. Lett. 60, 1921-1923 (1992).
[CrossRef]

IEEE Photonics Technol. Lett. (1)

R. B. Charters, B. Luther-Davies, and F. Ladouceur, "Improved performance of laser written channel waveguides using a TEM01* beam," IEEE Photonics Technol. Lett. 11, 1617-1619 (1999).
[CrossRef]

J. Mod. Opt. (2)

Z. Jaroszewicz, V. Climent, V. Duran, J. Lancis, A. Kolodziejczyk, A. Burvall, and A. T. Friberg, "Programmable axicon for variable inclination of the focal segment," J. Mod. Opt. 51, 2185-2190 (2004).
[CrossRef]

P. Pääkkönen, J. Simonen, M. Honkanen, and J. Turunen, "Two-element diffractive systems for generation of Bessel fields," J. Mod. Opt. 49, 1943-1953 (2002).
[CrossRef]

J. Opt. Soc. Am. (2)

J. Opt. Soc. Am. A (3)

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

Mol. Cryst. Liq. Cryst. Sci. Technol. Sect. A (1)

N. V. Tabiryan, B. Ya. Zel'dovich, and A. V. Sukhov, "Orientational optical nonlinearity of liquid crystals," Mol. Cryst. Liq. Cryst. Sci. Technol. Sect. A 136, 139 (1986).
[CrossRef]

Opt. Commun. (9)

A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, "Self-focusing in a nematic liquid crystal for measurements of wavefront distortions," Opt. Commun. 232, 439-442 (2004).
[CrossRef]

A. Shevchenko, S. C. Buchter, N. V. Tabiryan, and M. Kaivola, "Creation of a hollow laser beam using self-phase modulation in a nematic liquid crystal," Opt. Commun. 232, 77-82 (2004).
[CrossRef]

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

J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2001).
[CrossRef]

M. Lei and B. Yao, "Characteristics of beam profile of Gaussian beam passing through an axicon," Opt. Commun. 239, 367-372 (2004).
[CrossRef]

M. Florjanczyk and R. Tremblay, "Guiding of atoms in a travelling-wave laser trap formed by the axicon," Opt. Commun. 73, 448-450 (1989).
[CrossRef]

P. Pääkkönen and J. Turunen, "Resonators with Bessel-Gauss modes," Opt. Commun. 156, 359-366 (1998).
[CrossRef]

A. Hakola, S. C. Buchter, T. Kajava, H. Elfström, J. Simonen, P. Pääkkönen, and J. Turunen, "Bessel-Gauss output beam from a diode-pumped Nd:YAG laser," Opt. Commun. 238, 335-340 (2004).

S. Yu Popov, A. T. Friberg, M. Honkanen, J. Lautanen, J. Turunen, and B. Schnabel, "Apodized annular-aperture diffractive axicons fabricated by continuous-path-control electron beam lithography," Opt. Commun. 154, 359-367 (1998).
[CrossRef]

Opt. Eng. (Bellingham) (1)

G. Bickel, G. Häusler, and M. Maul, "Triangulation with expanded range of depth," Opt. Eng. (Bellingham) 24, 975-977 (1985).

Opt. Lett. (1)

Optik (1)

A. L. Murazyan, N. V. Tabiryan, T. Vogeler, and T. Tschudi, "Non-resonant optical limiting due to self-induced multiwave interference," Optik 101, 145-148 (1996).

Phys. Rev. Lett. (1)

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

Pure Appl. Opt. (1)

S. Yu Popov and A. T. Friberg, "Apodization of generalized axicons to produce uniform axial line images," Pure Appl. Opt. 7, 537-548 (1998).
[CrossRef]

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Figures (3)

Fig. 1
Fig. 1

Intensity distribution I ( r , z ) of the simulated self-focused field; z and r denote the axial and radial coordinates, respectively.

Fig. 2
Fig. 2

Schematic illustration of the experimental setup. The beam from a cw laser is focused with a lens L 1 into the liquid crystal LC. The resulting self-focused beam is imaged with another lens, L 2 , to a CCD camera which is located at a fixed distance from the lens.

Fig. 3
Fig. 3

Measured (left column) and simulated (right column) intensity profiles of the self-focused laser beam. The profiles in (b) and (c) are measured at distances of 1.5 mm and 4.5 mm , respectively, from the location corresponding to (a) along the beam axis. The two-dimensional CCD images of the beam are shown in the insets.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

U ( z , r ) = 2 π λ z 0 U ( 0 , ρ ) ρ exp ( j π ρ 2 λ z ) J 0 ( 2 π r ρ λ z ) d ρ .
U ( 0 , ρ ) = I p exp [ ρ 2 W LC 2 + j ϕ ( ρ ) ] ,
ϕ ( ρ ) = 2 π λ L n 2 I p exp ( 2 ρ 2 W LC 2 ) ,

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