Abstract

Conical emission featuring a diminishing emission angle with increasing wavelength detuning is observed in ultrashort light filaments in fused silica at a carrier wavelength with anomalous dispersion. In the measured angularly resolved spectrum of the filament, this conical emission appears as an elliptical, or O-like, structure that fits quantitatively to the elliptical spectrum of gain in the Kerr-driven spatiotemporal instability of nonlinear plane waves.

© 2007 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  4. A. Brodeur, F. A. Ilkov, and S. L. Chin, "Beam filamentation and the white light continuum divergence," Opt. Commun. 129, 193-198 (1996).
    [CrossRef]
  5. O. G. Kosareva, V. P. Kandidov, A. Brodeur, C. Y. Chien, and S. L. Chin, "Conical emission from laser plasama interactions in the filamentation of powerful ultrashort laser pulses in air," Opt. Lett. 22, 1332-1334 (1997).
    [CrossRef]
  6. D. Faccio, M. A. Porras, A. Dubietis, G. Tamosauskas, E. Kucinskas, A. Couairon, and P. Di Trapani, "Angular and chromatic dispersion in Kerr-driven conical emission," Opt. Commun. 265, 672-677 (2006).
    [CrossRef]
  7. L. Niggl and M. Maier, "Efficient conical emission of stimulated Raman Stokes light generated by a Bessel pump beam," Opt. Lett. 22, 910-912 (1997).
    [CrossRef] [PubMed]
  8. L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, "Spatiotemporal instabilities in dispersive nonlinear media," Phys. Rev. A 46, 4202-4208 (1992).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  10. A. Dubietis, G. Tamosauskas, I. Diomin, and A. Varanavicius, "Self-guided propagation of femptsecond light pulses in water," Opt. Lett. 28, 1269-1271 (2003).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  14. Y. Silberberg, "Collapse of optical pulses," Opt. Lett. 15, 1282-1284 (1990).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]

2006 (2)

A. Couairon, E. Gaizauskas, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear W-wave formation by femtosecond filamentation in Kerr media," Phys. Rev. E 73, 016608 (2006).
[CrossRef]

D. Faccio, M. A. Porras, A. Dubietis, G. Tamosauskas, E. Kucinskas, A. Couairon, and P. Di Trapani, "Angular and chromatic dispersion in Kerr-driven conical emission," Opt. Commun. 265, 672-677 (2006).
[CrossRef]

2005 (5)

2004 (4)

2003 (1)

2001 (1)

H. S. Eisenberg, R. Morandotti, and Y. Silberberg, "Kerr spatiotemporal self-focusing in a planar glass waveguide," Phys. Rev. Lett. 87, 043902 (2001).
[CrossRef] [PubMed]

1997 (2)

1996 (2)

1994 (1)

1993 (1)

1992 (1)

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, "Spatiotemporal instabilities in dispersive nonlinear media," Phys. Rev. A 46, 4202-4208 (1992).
[CrossRef] [PubMed]

1990 (2)

Agrawal, G. P.

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, "Spatiotemporal instabilities in dispersive nonlinear media," Phys. Rev. A 46, 4202-4208 (1992).
[CrossRef] [PubMed]

Akhouayri, H.

Alfano, R. R.

Bergé, L.

L. Bergé and S. Skupin, "Self-channeling of ultrashort laser pulses in materials with anomalous dispersion," Phys. Rev. E 71, 065601 (2005).
[CrossRef]

Billard, F.

Bragheri, F.

Bramati, A.

Brodeur, A.

Cao, X. D.

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, "Spatiotemporal instabilities in dispersive nonlinear media," Phys. Rev. A 46, 4202-4208 (1992).
[CrossRef] [PubMed]

Chien, C. Y.

Chin, S. L.

Couairon, A.

A. Couairon, E. Gaizauskas, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear W-wave formation by femtosecond filamentation in Kerr media," Phys. Rev. E 73, 016608 (2006).
[CrossRef]

D. Faccio, M. A. Porras, A. Dubietis, G. Tamosauskas, E. Kucinskas, A. Couairon, and P. Di Trapani, "Angular and chromatic dispersion in Kerr-driven conical emission," Opt. Commun. 265, 672-677 (2006).
[CrossRef]

M. A. Porras, A. Dubietis, E. Kucinskas, F. Bragheri, V. Degiorgio, A. Couairon, D. Faccio, and P. Di Trapani, "From X- to O-shaped spatiotemporal spectra of light filaments in water," Opt. Lett. 30, 3398-3400 (2005).
[CrossRef]

Curley, P. F.

Degiorgio, V.

Di Trapani, P.

A. Couairon, E. Gaizauskas, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear W-wave formation by femtosecond filamentation in Kerr media," Phys. Rev. E 73, 016608 (2006).
[CrossRef]

D. Faccio, M. A. Porras, A. Dubietis, G. Tamosauskas, E. Kucinskas, A. Couairon, and P. Di Trapani, "Angular and chromatic dispersion in Kerr-driven conical emission," Opt. Commun. 265, 672-677 (2006).
[CrossRef]

D. Faccio, P. Di Trapani, S. Minardi, A. Bramati, F. Bragheri, C. Liberale, V. Degiorgio, A. Dubietis, and A. Matijosius, "Far-field spectral characterization of conical emission and filamentation in Kerr media," J. Opt. Soc. Am. B 22, 862-869 (2005).
[CrossRef]

M. A. Porras, A. Dubietis, E. Kucinskas, F. Bragheri, V. Degiorgio, A. Couairon, D. Faccio, and P. Di Trapani, "From X- to O-shaped spatiotemporal spectra of light filaments in water," Opt. Lett. 30, 3398-3400 (2005).
[CrossRef]

Diomin, I.

Dubietis, A.

Eisenberg, H. S.

H. S. Eisenberg, R. Morandotti, and Y. Silberberg, "Kerr spatiotemporal self-focusing in a planar glass waveguide," Phys. Rev. Lett. 87, 043902 (2001).
[CrossRef] [PubMed]

Faccio, D.

D. Faccio, M. A. Porras, A. Dubietis, G. Tamosauskas, E. Kucinskas, A. Couairon, and P. Di Trapani, "Angular and chromatic dispersion in Kerr-driven conical emission," Opt. Commun. 265, 672-677 (2006).
[CrossRef]

A. Couairon, E. Gaizauskas, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear W-wave formation by femtosecond filamentation in Kerr media," Phys. Rev. E 73, 016608 (2006).
[CrossRef]

D. Faccio, P. Di Trapani, S. Minardi, A. Bramati, F. Bragheri, C. Liberale, V. Degiorgio, A. Dubietis, and A. Matijosius, "Far-field spectral characterization of conical emission and filamentation in Kerr media," J. Opt. Soc. Am. B 22, 862-869 (2005).
[CrossRef]

M. A. Porras, A. Dubietis, E. Kucinskas, F. Bragheri, V. Degiorgio, A. Couairon, D. Faccio, and P. Di Trapani, "From X- to O-shaped spatiotemporal spectra of light filaments in water," Opt. Lett. 30, 3398-3400 (2005).
[CrossRef]

Fibich, G.

Franco, M.

Gaeta, A. L.

Gaizauskas, E.

A. Couairon, E. Gaizauskas, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear W-wave formation by femtosecond filamentation in Kerr media," Phys. Rev. E 73, 016608 (2006).
[CrossRef]

Golub, I.

Grillon, G.

Ilan, B.

Ilkov, F. A.

A. Brodeur, F. A. Ilkov, and S. L. Chin, "Beam filamentation and the white light continuum divergence," Opt. Commun. 129, 193-198 (1996).
[CrossRef]

Kandidov, V. P.

Kolesik, M.

Kosareva, O. G.

Kucinskas, E.

D. Faccio, M. A. Porras, A. Dubietis, G. Tamosauskas, E. Kucinskas, A. Couairon, and P. Di Trapani, "Angular and chromatic dispersion in Kerr-driven conical emission," Opt. Commun. 265, 672-677 (2006).
[CrossRef]

M. A. Porras, A. Dubietis, E. Kucinskas, F. Bragheri, V. Degiorgio, A. Couairon, D. Faccio, and P. Di Trapani, "From X- to O-shaped spatiotemporal spectra of light filaments in water," Opt. Lett. 30, 3398-3400 (2005).
[CrossRef]

Liberale, C.

Liou, L. W.

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, "Spatiotemporal instabilities in dispersive nonlinear media," Phys. Rev. A 46, 4202-4208 (1992).
[CrossRef] [PubMed]

Luther, G. G.

Maier, M.

Matijosius, A.

McKinstrie, C. J.

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, "Spatiotemporal instabilities in dispersive nonlinear media," Phys. Rev. A 46, 4202-4208 (1992).
[CrossRef] [PubMed]

Minardi, S.

Moll, K. D.

Moloney, J. V.

Morandotti, R.

H. S. Eisenberg, R. Morandotti, and Y. Silberberg, "Kerr spatiotemporal self-focusing in a planar glass waveguide," Phys. Rev. Lett. 87, 043902 (2001).
[CrossRef] [PubMed]

Mysyrowicz, A.

Newell, A. C.

Nibbering, E. T. J.

Niggl, L.

Olivier, T.

Porras, M. A.

D. Faccio, M. A. Porras, A. Dubietis, G. Tamosauskas, E. Kucinskas, A. Couairon, and P. Di Trapani, "Angular and chromatic dispersion in Kerr-driven conical emission," Opt. Commun. 265, 672-677 (2006).
[CrossRef]

M. A. Porras, A. Dubietis, E. Kucinskas, F. Bragheri, V. Degiorgio, A. Couairon, D. Faccio, and P. Di Trapani, "From X- to O-shaped spatiotemporal spectra of light filaments in water," Opt. Lett. 30, 3398-3400 (2005).
[CrossRef]

Prade, B.

Saliminia, A.

Salin, F.

Silberberg, Y.

H. S. Eisenberg, R. Morandotti, and Y. Silberberg, "Kerr spatiotemporal self-focusing in a planar glass waveguide," Phys. Rev. Lett. 87, 043902 (2001).
[CrossRef] [PubMed]

Y. Silberberg, "Collapse of optical pulses," Opt. Lett. 15, 1282-1284 (1990).
[CrossRef] [PubMed]

Skupin, S.

L. Bergé and S. Skupin, "Self-channeling of ultrashort laser pulses in materials with anomalous dispersion," Phys. Rev. E 71, 065601 (2005).
[CrossRef]

Tamosauskas, G.

D. Faccio, M. A. Porras, A. Dubietis, G. Tamosauskas, E. Kucinskas, A. Couairon, and P. Di Trapani, "Angular and chromatic dispersion in Kerr-driven conical emission," Opt. Commun. 265, 672-677 (2006).
[CrossRef]

A. Dubietis, G. Tamosauskas, I. Diomin, and A. Varanavicius, "Self-guided propagation of femptsecond light pulses in water," Opt. Lett. 28, 1269-1271 (2003).
[CrossRef] [PubMed]

Vallée, R.

Varanavicius, A.

Wright, E. M.

Xing, Q.

Yoo, K. M.

Appl. Opt. (1)

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

Opt. Commun. (2)

A. Brodeur, F. A. Ilkov, and S. L. Chin, "Beam filamentation and the white light continuum divergence," Opt. Commun. 129, 193-198 (1996).
[CrossRef]

D. Faccio, M. A. Porras, A. Dubietis, G. Tamosauskas, E. Kucinskas, A. Couairon, and P. Di Trapani, "Angular and chromatic dispersion in Kerr-driven conical emission," Opt. Commun. 265, 672-677 (2006).
[CrossRef]

Opt. Express (3)

Opt. Lett. (10)

G. Fibich and B. Ilan, "Optical light bullets in a pure Kerr medium," Opt. Lett. 29, 887-889 (2004).
[CrossRef] [PubMed]

K. D. Moll and A. L. Gaeta, "Role of dispersion in multiple-collapse dynamics," Opt. Lett. 29, 995-997 (2004).
[CrossRef] [PubMed]

E. T. J. Nibbering, P. F. Curley, G. Grillon, B. Prade, M. Franco, F. Salin, and A. Mysyrowicz, "Conical emission from self-guided femtosecond pulses in air," Opt. Lett. 21, 62-64 (1996).
[CrossRef] [PubMed]

A. Dubietis, G. Tamosauskas, I. Diomin, and A. Varanavicius, "Self-guided propagation of femptsecond light pulses in water," Opt. Lett. 28, 1269-1271 (2003).
[CrossRef] [PubMed]

M. A. Porras, A. Dubietis, E. Kucinskas, F. Bragheri, V. Degiorgio, A. Couairon, D. Faccio, and P. Di Trapani, "From X- to O-shaped spatiotemporal spectra of light filaments in water," Opt. Lett. 30, 3398-3400 (2005).
[CrossRef]

I. Golub, "Optical characteristics of supercontinuum generation," Opt. Lett. 15, 305-307 (1990).
[CrossRef] [PubMed]

Y. Silberberg, "Collapse of optical pulses," Opt. Lett. 15, 1282-1284 (1990).
[CrossRef] [PubMed]

G. G. Luther, A. C. Newell, J. V. Moloney, and E. M. Wright, "Short-pulse conical emission and spectral broadening in normally dispersive media," Opt. Lett. 19, 789-791 (1994).
[CrossRef] [PubMed]

L. Niggl and M. Maier, "Efficient conical emission of stimulated Raman Stokes light generated by a Bessel pump beam," Opt. Lett. 22, 910-912 (1997).
[CrossRef] [PubMed]

O. G. Kosareva, V. P. Kandidov, A. Brodeur, C. Y. Chien, and S. L. Chin, "Conical emission from laser plasama interactions in the filamentation of powerful ultrashort laser pulses in air," Opt. Lett. 22, 1332-1334 (1997).
[CrossRef]

Phys. Rev. A (1)

L. W. Liou, X. D. Cao, C. J. McKinstrie, and G. P. Agrawal, "Spatiotemporal instabilities in dispersive nonlinear media," Phys. Rev. A 46, 4202-4208 (1992).
[CrossRef] [PubMed]

Phys. Rev. E (2)

L. Bergé and S. Skupin, "Self-channeling of ultrashort laser pulses in materials with anomalous dispersion," Phys. Rev. E 71, 065601 (2005).
[CrossRef]

A. Couairon, E. Gaizauskas, D. Faccio, A. Dubietis, and P. Di Trapani, "Nonlinear W-wave formation by femtosecond filamentation in Kerr media," Phys. Rev. E 73, 016608 (2006).
[CrossRef]

Phys. Rev. Lett. (2)

H. S. Eisenberg, R. Morandotti, and Y. Silberberg, "Kerr spatiotemporal self-focusing in a planar glass waveguide," Phys. Rev. Lett. 87, 043902 (2001).
[CrossRef] [PubMed]

M. Kolesik, E. M. Wright, and J. V. Moloney, "Dynamic nonlinear X waves for femtosecond pulse propagation in water," Phys. Rev. Lett. 92, 253901 (2004).
[CrossRef] [PubMed]

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Figures (2)

Fig. 1
Fig. 1

Angle-wavelength spectra (in logarithmic scale) of the input pulses at 1500 and 1700 nm carrier wavelengths (top) and of the corresponding output filaments from the fused silica sample (bottom).

Fig. 2
Fig. 2

Ellipticity Δ θ Δ λ of the angularly resolved spectra θ - λ versus carrier wavelength. Continuous curve: Prediction from Eq. (2). Circles, triangles, and squares: estimations for the inner dark, medium bright, and outer dark annuli, respectively, visible in the experimental spectra at 1400, 1500, 1600, and 1700 nm .

Equations (2)

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z A = i 2 k 0 Δ A i k 0 2 τ 2 A + i k 0 n 2 n 0 A 2 A .
K ( Ω ) = k 0 k 0 Ω 2 + 2 k 0 β ,

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