Abstract

We report on the experimental observations of on-axis spectral broadening arising from self-focusing of the axicon-generated femtosecond Bessel beam in water. The observed spectral broadening is interpreted by a nonlinearly phase-matched four-wave mixing process involving the intense conical pump, the axial signal and a conical idler wave.

© 2007 Optical Society of America

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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. D. McGloin and K. Dholakia "Bessel beams: diffraction in a new light," Contemp. Phys. 41, 15-28 (2005).
    [CrossRef]
  3. I. Golub, "Superluminal-source-induced emission," Opt. Lett. 20, 1847-1849 (1995).
    [CrossRef] [PubMed]
  4. S. Klewitz, P. Leiderer, S. Herminghaus, and S. Sogomonian, "Tunable stimulated Raman scattering by pumping with Bessel beams," Opt. Lett. 21, 248-250 (1996).
    [CrossRef] [PubMed]
  5. A. Piskarskas, V. Smilgevičius, and A. Stabinis, "Optical parametric oscillator pumped by a Bessel beam," Appl. Opt. 36, 7779-7782 (1997).
    [CrossRef]
  6. J. Amako, D. Sawaki, and E. Fujii, "Microstructuring transparent materials by use of nondiffracting ultrashort pulse beams generated by diffractive optics," J. Opt. Soc. Am. B 20, 2562-2568 (2003).
    [CrossRef]
  7. E. J. Botcherby, R. Juskaitis, and T. R. Wilson, "Scanning two photon fluorescence microscopy with extended depth of field," Opt. Commun. 268, 253-260 (2006).
    [CrossRef]
  8. P. Johannisson, D. Anderson, M. Lisak, and M. Marklund, "Nonlinear Bessel beams," Opt. Commun. 222, 107-115 (2003).
    [CrossRef]
  9. M. A. Porras, A. Parola, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear unbalanced Bessel beams: stationary conical waves supported by nonlinear losses," Phys. Rev. Lett. 93, 153902 (2004).
    [CrossRef] [PubMed]
  10. P. Polesana, A. Dubietis, M. A. Porras, E. Kučinskas, D. Faccio, A. Couairon, and P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
    [CrossRef]
  11. R. Gadonas, V. Jarutis, R. Paškauskas, V. Smilgevičius, A. Stabinis, and V. Vaičaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
    [CrossRef]
  12. E. Gaižauskas, E. Vanagas, V. Jarutis, S. Juodkazis, V. Mizeikis, and H. Misawa, "Discrete damage traces from filamentation of Gauss-Bessel pulses," Opt. Lett. 31, 80-82 (2006).
    [CrossRef] [PubMed]
  13. J. H. Cooley, T. M. Antonsen, H. M. Milchberg, J. Fan, L. Margolin, and L. Pyatnitskii, "Parametric instability in the formation of plasma waveguides," Phys. Rev. E 73, 036404 (2006).
    [CrossRef]
  14. S. Klewitz, S. Sogomonian, M. Woerner, and S. Herminghaus, "Stimulated Raman scattering of femtosecond Bessel pulses," Opt. Commun. 154, 186-190 (1998).
    [CrossRef]
  15. M. Wittmann and A. Penzkofer, "Spectral superbroadening of femtosecond laser pulses," Opt. Commun. 126, 308-317 (1996).
    [CrossRef]
  16. A. G. Van Engen, S. A. Diddams, and T. S. Clement, "Dispersion measurements of water with white-light interferometry," Appl. Opt. 37, 5679-5686 (1998).
    [CrossRef]
  17. S. P. Tewari, H. Huang, and R. W. Boyd, "Theory of self-phase matching," Phys. Rev. A 51, R2707-R2710 (1995).
    [CrossRef] [PubMed]
  18. M. Sceats, S. A. Rice, and J. E. Butler, "The stimulated Raman spectrum of water and its relationship to liquid structure," J. Chem. Phys. 63, 5390-5400 (1975).
    [CrossRef]
  19. M. A. Porras, A. Parola, D. Faccio, A. Couairon, P. Di Trapani, "Collapse-driven spatiotemporal dynamics of filament formation," Phys. Rev. Lett. (submitted).
    [PubMed]
  20. G. P. Agrawal, "Modulation instability induced by cross-phase modulation," Phys. Rev. Lett. 59, 880-883 (1987).
    [CrossRef] [PubMed]

2006 (4)

E. J. Botcherby, R. Juskaitis, and T. R. Wilson, "Scanning two photon fluorescence microscopy with extended depth of field," Opt. Commun. 268, 253-260 (2006).
[CrossRef]

E. Gaižauskas, E. Vanagas, V. Jarutis, S. Juodkazis, V. Mizeikis, and H. Misawa, "Discrete damage traces from filamentation of Gauss-Bessel pulses," Opt. Lett. 31, 80-82 (2006).
[CrossRef] [PubMed]

J. H. Cooley, T. M. Antonsen, H. M. Milchberg, J. Fan, L. Margolin, and L. Pyatnitskii, "Parametric instability in the formation of plasma waveguides," Phys. Rev. E 73, 036404 (2006).
[CrossRef]

P. Polesana, A. Dubietis, M. A. Porras, E. Kučinskas, D. Faccio, A. Couairon, and P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

2005 (1)

D. McGloin and K. Dholakia "Bessel beams: diffraction in a new light," Contemp. Phys. 41, 15-28 (2005).
[CrossRef]

2004 (1)

M. A. Porras, A. Parola, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear unbalanced Bessel beams: stationary conical waves supported by nonlinear losses," Phys. Rev. Lett. 93, 153902 (2004).
[CrossRef] [PubMed]

2003 (2)

2001 (1)

R. Gadonas, V. Jarutis, R. Paškauskas, V. Smilgevičius, A. Stabinis, and V. Vaičaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

1998 (2)

A. G. Van Engen, S. A. Diddams, and T. S. Clement, "Dispersion measurements of water with white-light interferometry," Appl. Opt. 37, 5679-5686 (1998).
[CrossRef]

S. Klewitz, S. Sogomonian, M. Woerner, and S. Herminghaus, "Stimulated Raman scattering of femtosecond Bessel pulses," Opt. Commun. 154, 186-190 (1998).
[CrossRef]

1997 (1)

1996 (2)

1995 (2)

S. P. Tewari, H. Huang, and R. W. Boyd, "Theory of self-phase matching," Phys. Rev. A 51, R2707-R2710 (1995).
[CrossRef] [PubMed]

I. Golub, "Superluminal-source-induced emission," Opt. Lett. 20, 1847-1849 (1995).
[CrossRef] [PubMed]

1987 (2)

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

G. P. Agrawal, "Modulation instability induced by cross-phase modulation," Phys. Rev. Lett. 59, 880-883 (1987).
[CrossRef] [PubMed]

1975 (1)

M. Sceats, S. A. Rice, and J. E. Butler, "The stimulated Raman spectrum of water and its relationship to liquid structure," J. Chem. Phys. 63, 5390-5400 (1975).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, "Modulation instability induced by cross-phase modulation," Phys. Rev. Lett. 59, 880-883 (1987).
[CrossRef] [PubMed]

Amako, J.

Anderson, D.

P. Johannisson, D. Anderson, M. Lisak, and M. Marklund, "Nonlinear Bessel beams," Opt. Commun. 222, 107-115 (2003).
[CrossRef]

Antonsen, T. M.

J. H. Cooley, T. M. Antonsen, H. M. Milchberg, J. Fan, L. Margolin, and L. Pyatnitskii, "Parametric instability in the formation of plasma waveguides," Phys. Rev. E 73, 036404 (2006).
[CrossRef]

Botcherby, E. J.

E. J. Botcherby, R. Juskaitis, and T. R. Wilson, "Scanning two photon fluorescence microscopy with extended depth of field," Opt. Commun. 268, 253-260 (2006).
[CrossRef]

Boyd, R. W.

S. P. Tewari, H. Huang, and R. W. Boyd, "Theory of self-phase matching," Phys. Rev. A 51, R2707-R2710 (1995).
[CrossRef] [PubMed]

Butler, J. E.

M. Sceats, S. A. Rice, and J. E. Butler, "The stimulated Raman spectrum of water and its relationship to liquid structure," J. Chem. Phys. 63, 5390-5400 (1975).
[CrossRef]

Clement, T. S.

Cooley, J. H.

J. H. Cooley, T. M. Antonsen, H. M. Milchberg, J. Fan, L. Margolin, and L. Pyatnitskii, "Parametric instability in the formation of plasma waveguides," Phys. Rev. E 73, 036404 (2006).
[CrossRef]

Couairon, A.

P. Polesana, A. Dubietis, M. A. Porras, E. Kučinskas, D. Faccio, A. Couairon, and P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

M. A. Porras, A. Parola, D. Faccio, A. Couairon, P. Di Trapani, "Collapse-driven spatiotemporal dynamics of filament formation," Phys. Rev. Lett. (submitted).
[PubMed]

Dholakia, K.

D. McGloin and K. Dholakia "Bessel beams: diffraction in a new light," Contemp. Phys. 41, 15-28 (2005).
[CrossRef]

Di Trapani, P.

P. Polesana, A. Dubietis, M. A. Porras, E. Kučinskas, D. Faccio, A. Couairon, and P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

M. A. Porras, A. Parola, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear unbalanced Bessel beams: stationary conical waves supported by nonlinear losses," Phys. Rev. Lett. 93, 153902 (2004).
[CrossRef] [PubMed]

M. A. Porras, A. Parola, D. Faccio, A. Couairon, P. Di Trapani, "Collapse-driven spatiotemporal dynamics of filament formation," Phys. Rev. Lett. (submitted).
[PubMed]

Diddams, S. A.

Dubietis, A.

P. Polesana, A. Dubietis, M. A. Porras, E. Kučinskas, D. Faccio, A. Couairon, and P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

M. A. Porras, A. Parola, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear unbalanced Bessel beams: stationary conical waves supported by nonlinear losses," Phys. Rev. Lett. 93, 153902 (2004).
[CrossRef] [PubMed]

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]

Faccio, D.

P. Polesana, A. Dubietis, M. A. Porras, E. Kučinskas, D. Faccio, A. Couairon, and P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

M. A. Porras, A. Parola, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear unbalanced Bessel beams: stationary conical waves supported by nonlinear losses," Phys. Rev. Lett. 93, 153902 (2004).
[CrossRef] [PubMed]

M. A. Porras, A. Parola, D. Faccio, A. Couairon, P. Di Trapani, "Collapse-driven spatiotemporal dynamics of filament formation," Phys. Rev. Lett. (submitted).
[PubMed]

Fan, J.

J. H. Cooley, T. M. Antonsen, H. M. Milchberg, J. Fan, L. Margolin, and L. Pyatnitskii, "Parametric instability in the formation of plasma waveguides," Phys. Rev. E 73, 036404 (2006).
[CrossRef]

Fujii, E.

Gadonas, R.

R. Gadonas, V. Jarutis, R. Paškauskas, V. Smilgevičius, A. Stabinis, and V. Vaičaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

Gaižauskas, E.

Golub, I.

Herminghaus, S.

S. Klewitz, S. Sogomonian, M. Woerner, and S. Herminghaus, "Stimulated Raman scattering of femtosecond Bessel pulses," Opt. Commun. 154, 186-190 (1998).
[CrossRef]

S. Klewitz, P. Leiderer, S. Herminghaus, and S. Sogomonian, "Tunable stimulated Raman scattering by pumping with Bessel beams," Opt. Lett. 21, 248-250 (1996).
[CrossRef] [PubMed]

Huang, H.

S. P. Tewari, H. Huang, and R. W. Boyd, "Theory of self-phase matching," Phys. Rev. A 51, R2707-R2710 (1995).
[CrossRef] [PubMed]

Jarutis, V.

E. Gaižauskas, E. Vanagas, V. Jarutis, S. Juodkazis, V. Mizeikis, and H. Misawa, "Discrete damage traces from filamentation of Gauss-Bessel pulses," Opt. Lett. 31, 80-82 (2006).
[CrossRef] [PubMed]

R. Gadonas, V. Jarutis, R. Paškauskas, V. Smilgevičius, A. Stabinis, and V. Vaičaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

Johannisson, P.

P. Johannisson, D. Anderson, M. Lisak, and M. Marklund, "Nonlinear Bessel beams," Opt. Commun. 222, 107-115 (2003).
[CrossRef]

Juodkazis, S.

Juskaitis, R.

E. J. Botcherby, R. Juskaitis, and T. R. Wilson, "Scanning two photon fluorescence microscopy with extended depth of field," Opt. Commun. 268, 253-260 (2006).
[CrossRef]

Klewitz, S.

S. Klewitz, S. Sogomonian, M. Woerner, and S. Herminghaus, "Stimulated Raman scattering of femtosecond Bessel pulses," Opt. Commun. 154, 186-190 (1998).
[CrossRef]

S. Klewitz, P. Leiderer, S. Herminghaus, and S. Sogomonian, "Tunable stimulated Raman scattering by pumping with Bessel beams," Opt. Lett. 21, 248-250 (1996).
[CrossRef] [PubMed]

Kucinskas, E.

P. Polesana, A. Dubietis, M. A. Porras, E. Kučinskas, D. Faccio, A. Couairon, and P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

Leiderer, P.

Lisak, M.

P. Johannisson, D. Anderson, M. Lisak, and M. Marklund, "Nonlinear Bessel beams," Opt. Commun. 222, 107-115 (2003).
[CrossRef]

Margolin, L.

J. H. Cooley, T. M. Antonsen, H. M. Milchberg, J. Fan, L. Margolin, and L. Pyatnitskii, "Parametric instability in the formation of plasma waveguides," Phys. Rev. E 73, 036404 (2006).
[CrossRef]

Marklund, M.

P. Johannisson, D. Anderson, M. Lisak, and M. Marklund, "Nonlinear Bessel beams," Opt. Commun. 222, 107-115 (2003).
[CrossRef]

McGloin, D.

D. McGloin and K. Dholakia "Bessel beams: diffraction in a new light," Contemp. Phys. 41, 15-28 (2005).
[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]

Milchberg, H. M.

J. H. Cooley, T. M. Antonsen, H. M. Milchberg, J. Fan, L. Margolin, and L. Pyatnitskii, "Parametric instability in the formation of plasma waveguides," Phys. Rev. E 73, 036404 (2006).
[CrossRef]

Misawa, H.

Mizeikis, V.

Parola, A.

M. A. Porras, A. Parola, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear unbalanced Bessel beams: stationary conical waves supported by nonlinear losses," Phys. Rev. Lett. 93, 153902 (2004).
[CrossRef] [PubMed]

M. A. Porras, A. Parola, D. Faccio, A. Couairon, P. Di Trapani, "Collapse-driven spatiotemporal dynamics of filament formation," Phys. Rev. Lett. (submitted).
[PubMed]

Paškauskas, R.

R. Gadonas, V. Jarutis, R. Paškauskas, V. Smilgevičius, A. Stabinis, and V. Vaičaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

Penzkofer, A.

M. Wittmann and A. Penzkofer, "Spectral superbroadening of femtosecond laser pulses," Opt. Commun. 126, 308-317 (1996).
[CrossRef]

Piskarskas, A.

Polesana, P.

P. Polesana, A. Dubietis, M. A. Porras, E. Kučinskas, D. Faccio, A. Couairon, and P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

Porras, M. A.

P. Polesana, A. Dubietis, M. A. Porras, E. Kučinskas, D. Faccio, A. Couairon, and P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

M. A. Porras, A. Parola, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear unbalanced Bessel beams: stationary conical waves supported by nonlinear losses," Phys. Rev. Lett. 93, 153902 (2004).
[CrossRef] [PubMed]

M. A. Porras, A. Parola, D. Faccio, A. Couairon, P. Di Trapani, "Collapse-driven spatiotemporal dynamics of filament formation," Phys. Rev. Lett. (submitted).
[PubMed]

Pyatnitskii, L.

J. H. Cooley, T. M. Antonsen, H. M. Milchberg, J. Fan, L. Margolin, and L. Pyatnitskii, "Parametric instability in the formation of plasma waveguides," Phys. Rev. E 73, 036404 (2006).
[CrossRef]

Rice, S. A.

M. Sceats, S. A. Rice, and J. E. Butler, "The stimulated Raman spectrum of water and its relationship to liquid structure," J. Chem. Phys. 63, 5390-5400 (1975).
[CrossRef]

Sawaki, D.

Sceats, M.

M. Sceats, S. A. Rice, and J. E. Butler, "The stimulated Raman spectrum of water and its relationship to liquid structure," J. Chem. Phys. 63, 5390-5400 (1975).
[CrossRef]

Smilgevicius, V.

R. Gadonas, V. Jarutis, R. Paškauskas, V. Smilgevičius, A. Stabinis, and V. Vaičaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

A. Piskarskas, V. Smilgevičius, and A. Stabinis, "Optical parametric oscillator pumped by a Bessel beam," Appl. Opt. 36, 7779-7782 (1997).
[CrossRef]

Sogomonian, S.

S. Klewitz, S. Sogomonian, M. Woerner, and S. Herminghaus, "Stimulated Raman scattering of femtosecond Bessel pulses," Opt. Commun. 154, 186-190 (1998).
[CrossRef]

S. Klewitz, P. Leiderer, S. Herminghaus, and S. Sogomonian, "Tunable stimulated Raman scattering by pumping with Bessel beams," Opt. Lett. 21, 248-250 (1996).
[CrossRef] [PubMed]

Stabinis, A.

R. Gadonas, V. Jarutis, R. Paškauskas, V. Smilgevičius, A. Stabinis, and V. Vaičaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

A. Piskarskas, V. Smilgevičius, and A. Stabinis, "Optical parametric oscillator pumped by a Bessel beam," Appl. Opt. 36, 7779-7782 (1997).
[CrossRef]

Tewari, S. P.

S. P. Tewari, H. Huang, and R. W. Boyd, "Theory of self-phase matching," Phys. Rev. A 51, R2707-R2710 (1995).
[CrossRef] [PubMed]

Vaicaitis, V.

R. Gadonas, V. Jarutis, R. Paškauskas, V. Smilgevičius, A. Stabinis, and V. Vaičaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

Van Engen, A. G.

Vanagas, E.

Wilson, T. R.

E. J. Botcherby, R. Juskaitis, and T. R. Wilson, "Scanning two photon fluorescence microscopy with extended depth of field," Opt. Commun. 268, 253-260 (2006).
[CrossRef]

Wittmann, M.

M. Wittmann and A. Penzkofer, "Spectral superbroadening of femtosecond laser pulses," Opt. Commun. 126, 308-317 (1996).
[CrossRef]

Woerner, M.

S. Klewitz, S. Sogomonian, M. Woerner, and S. Herminghaus, "Stimulated Raman scattering of femtosecond Bessel pulses," Opt. Commun. 154, 186-190 (1998).
[CrossRef]

Appl. Opt. (2)

Contemp. Phys. (1)

D. McGloin and K. Dholakia "Bessel beams: diffraction in a new light," Contemp. Phys. 41, 15-28 (2005).
[CrossRef]

J. Chem. Phys. (1)

M. Sceats, S. A. Rice, and J. E. Butler, "The stimulated Raman spectrum of water and its relationship to liquid structure," J. Chem. Phys. 63, 5390-5400 (1975).
[CrossRef]

J. Opt. Soc. Am. B (1)

Opt. Commun. (5)

E. J. Botcherby, R. Juskaitis, and T. R. Wilson, "Scanning two photon fluorescence microscopy with extended depth of field," Opt. Commun. 268, 253-260 (2006).
[CrossRef]

P. Johannisson, D. Anderson, M. Lisak, and M. Marklund, "Nonlinear Bessel beams," Opt. Commun. 222, 107-115 (2003).
[CrossRef]

R. Gadonas, V. Jarutis, R. Paškauskas, V. Smilgevičius, A. Stabinis, and V. Vaičaitis, "Self-action of Bessel beam in nonlinear medium," Opt. Commun. 196, 309-316 (2001).
[CrossRef]

S. Klewitz, S. Sogomonian, M. Woerner, and S. Herminghaus, "Stimulated Raman scattering of femtosecond Bessel pulses," Opt. Commun. 154, 186-190 (1998).
[CrossRef]

M. Wittmann and A. Penzkofer, "Spectral superbroadening of femtosecond laser pulses," Opt. Commun. 126, 308-317 (1996).
[CrossRef]

Opt. Lett. (3)

Phys. Rev. A (1)

S. P. Tewari, H. Huang, and R. W. Boyd, "Theory of self-phase matching," Phys. Rev. A 51, R2707-R2710 (1995).
[CrossRef] [PubMed]

Phys. Rev. E (2)

J. H. Cooley, T. M. Antonsen, H. M. Milchberg, J. Fan, L. Margolin, and L. Pyatnitskii, "Parametric instability in the formation of plasma waveguides," Phys. Rev. E 73, 036404 (2006).
[CrossRef]

P. Polesana, A. Dubietis, M. A. Porras, E. Kučinskas, D. Faccio, A. Couairon, and P. Di Trapani, "Near-field dynamics of ultrashort pulsed Bessel beams in media with Kerr nonlinearity," Phys. Rev. E 73, 056612 (2006).
[CrossRef]

Phys. Rev. Lett. (4)

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

M. A. Porras, A. Parola, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear unbalanced Bessel beams: stationary conical waves supported by nonlinear losses," Phys. Rev. Lett. 93, 153902 (2004).
[CrossRef] [PubMed]

M. A. Porras, A. Parola, D. Faccio, A. Couairon, P. Di Trapani, "Collapse-driven spatiotemporal dynamics of filament formation," Phys. Rev. Lett. (submitted).
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[CrossRef] [PubMed]

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Figures (5)

Fig. 1.
Fig. 1.

Frequency spectra of axial emission (right) and corresponding experimental settings (left), which lead to (a) SRS and (b) broadband radiation centered at the carrier frequency. The bold line shows the peak intensity in the central core of the Bessel beam in air with maximum at z=7 mm from the axicon.

Fig. 2.
Fig. 2.

Photographs of the far-field of the (a) linearly propagating (low energy) Bessel beam, (b) SRS, and (c) broadband radiation centered at the carrier frequency. Intensities of the spectral components are not to scale.

Fig. 3.
Fig. 3.

Energy of the axial broadband radiation (full circles) and Stokes component (open circles) vs distance from the axicon. Note that the cuvette is shifted by 7 mm with respect to the axicon in the first case.

Fig. 4.
Fig. 4.

Single-shot spectra of axial emission versus propagation distance z.

Fig. 5.
Fig. 5.

Transverse phase matching integral as function of wavelength, λ= 2πc/(ω 0 + Δω). Solid and dashed black curves depict the case of low-intensity regime for cone angles of 35 and 50 mrad, respectively, while those in color demonstrate how the sidebands shift towards the carrier frequency with increasing the intensity.

Equations (5)

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α i ( Δω ) = arccos 2 k ( ω 0 ) cos θ k ( ω 0 + Δω ) k ( ω 0 Δω )
α i ( Δω ) = 2 θ 2 + 2 k” k 0 ( Δω ) 2 ,
T = 0 r 0 J 0 2 ( k ( ω 0 ) sin θr ) J 0 ( k ( ω 0 Δω ) sin α i r ) rdr ,
T Δω I = 0 r 0 J 0 2 ( k ( ω 0 ) sin θ r ) J 0 [ k ( ω 0 Δω ) 1 cos 2 α i Δω I ] rdr ,
cos 2 α i Δω I = 2 ω 0 n 0 cos θ ( ω 0 + Δω ) [ n 0 ( ω 0 + Δω ) + 2 n 2 I ] ( ω 0 Δω ) n 0 ( ω 0 Δω ) ,

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