Abstract

Linear diffraction was used to modulate intensity distribution across the femtosecond laser beam to create quasi regular arrays of filaments in fused silica. A fringe type of filament distributions (filament-fringe) were formed that could be controlled and observed over a distance of several millimeters. The difference of supercontinuum (SC) emission between individual filaments was also observed.

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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
  24. A. K. Dharmadhikari, J. A. Dharmadhikari, and D. Mathur, “Visualization of focusing-refocusing cycles during filamentation in BaF2,” Appl. Phys. B 94(2), 259–263 (2009).
    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  31. K. Stelmaszczyk, P. Rohwetter, Y. Petit, M. Fechner, J. Kasparian, J.-P. Wolf, and L. Wöste, “White-light symmetrization by the interaction of multifilamenting beams,” Phys. Rev. A 79(5), 053856 (2009).
    [CrossRef]
  32. http://www.pishaper.com .

2010 (5)

L. Bergé, S. Mauger, and S. Skupin, “Multifilamentation of powerful optical pulses in silica,” Phys. Rev. A 81(1), 013817 (2010).
[CrossRef]

A. E. Dormidonov, V. P. Kandidov, V. O. Kompanets, and S. V. Chekalin, “Interference effects in the conical emission of a femtosecond filament in fused silica,” JETP Lett. 91(8), 373–377 (2010).
[CrossRef]

W. Ying, L. Yu-Hua, and L. Pei-Xiang, “Infrared femtosecond laser direct-writing digital volume gratings in fused silica,” Chin. Phys. Lett. 27(4), 044213 (2010).
[CrossRef]

J. P. Bérubé, R. Vallée, M. Bernier, O. Kosareva, N. Panov, V. Kandidov, and S. L. Chin, “Self and forced periodic arrangement of multiple filaments in glass,” Opt. Express 18(3), 1801–1819 (2010), http://www.opticsinfobase.org/abstract.cfm?uri=oe-18-3-1801 .
[CrossRef] [PubMed]

Q. Sun, H. Asahi, Y. Nishijima, N. Murazawa, K. Ueno, and H. Misawa, “Pulse duration dependent nonlinear propagation of a focused femtosecond laser pulse in fused silica,” Opt. Express 18(24), 24495–24503 (2010), http://www.opticsinfobase.org/abstract.cfm?uri=oe-18-24-24495 .
[CrossRef] [PubMed]

2009 (5)

C. Mauclair, G. Cheng, N. Huot, E. Audouard, A. Rosenfeld, I. V. Hertel, and R. Stoian, “Dynamic ultrafast laser spatial tailoring for parallel micromachining of photonic devices in transparent materials,” Opt. Express 17(5), 3531–3542 (2009), http://www.opticsinfobase.org/abstract.cfm?uri=oe-17-5-3531 .
[CrossRef] [PubMed]

K. Stelmaszczyk, P. Rohwetter, Y. Petit, M. Fechner, J. Kasparian, J.-P. Wolf, and L. Wöste, “White-light symmetrization by the interaction of multifilamenting beams,” Phys. Rev. A 79(5), 053856 (2009).
[CrossRef]

A. K. Dharmadhikari, J. A. Dharmadhikari, and D. Mathur, “Visualization of focusing-refocusing cycles during filamentation in BaF2,” Appl. Phys. B 94(2), 259–263 (2009).
[CrossRef]

D. Majus, V. Jukna, G. Valiulis, and A. Dubietis, “Generation of periodic filament arrays by self-focusing of highly elliptical ultrashort pulsed laser beams,” Phys. Rev. A 79(3), 033843 (2009).
[CrossRef]

J. F. Daigle, O. Kosareva, N. Panov, M. Begin, F. Lessard, C. Marceau, Y. Kamali, G. Roy, V. P. Kandidov, and S. L. Chin, “A simple method to significantly increase filaments’ length and ionization density,” Appl. Phys. B 94(2), 249–257 (2009).
[CrossRef]

2008 (1)

P. Rohwetter, M. Queißer, K. Stelmaszczyk, M. Fechner, and L. Wöste, “Laser multiple filamentation control in air using a smooth phase mask,” Phys. Rev. A 77(1), 013812 (2008).
[CrossRef]

2007 (4)

2006 (1)

O. G. Kosareva, T. Nguyen, N. A. Panov, W. Liu, A. Saliminia, V. P. Kandidov, N. Akozbek, M. Scalora, R. Vallee, and S. L. Chin, “Array of femtosecond plasma channels in fused silica,” Opt. Commun. 267(2), 511–523 (2006).
[CrossRef]

2005 (3)

2004 (1)

X. Ni, C. Wang, X. Liang, M. AL-Rubaiee, and R. R. Alfano, “Fresnel diffraction supercontinuum generation,” IEEE J. Sel. Top. Quantum Electron. 10(5), 1229–1232 (2004).
[CrossRef]

2003 (4)

X. J. Fang and T. Kobayashi, “Evolution of a super-broadened spectrum in a filament generated by an ultrashort intense laser pulse in fused silica,” Appl. Phys. B 77(2-3), 167–170 (2003).
[CrossRef]

A. Saliminia, N. T. Nguyen, M. Nadeau, S. Petit, S. L. Chin, and R. Vallee, “Writing optical waveguides in fused silica using 1 kHz femtosecond infrared pulses,” J. Appl. Phys. 93(7), 3724–3728 (2003).
[CrossRef]

S. Nolte, M. Will, J. Burghoff, and A. Tuennermann, “Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics,” Appl. Phys., A Mater. Sci. Process. 77(1), 109–111 (2003).
[CrossRef]

W. Liu, S. L. Chin, O. Kosareva, I. S. Golubtsov, and V. P. Kandidov, “Multiple refocusing of a femtosecond laser pulse in a dispersive liquid (methanol),” Opt. Commun. 225(1-3), 193–209 (2003).
[CrossRef]

2002 (1)

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89(18), 186601 (2002).
[CrossRef] [PubMed]

2000 (1)

T. Toma, Y. Furuya, W. Watanabe, K. Itoh, J. Nishii, and K. Hayashi, “Estimation of the refractive index change in glass induced by femtosecond laser pulses,” Opt. Rev. 7(1), 14–17 (2000).
[CrossRef]

1999 (2)

H. Sun, Y. Xu, S. Matsuo, and H. Misawa, “Microfabrication and characteristics of two-dimensional photonic crystal structures in vitreous silica,” Opt. Rev. 6(5), 396–398 (1999).
[CrossRef]

D. Homoelle, S. Wielandy, A. L. Gaeta, N. F. Borrelli, and C. Smith, “Infrared photosensitivity in silica glasses exposed to femtosecond laser pulses,” Opt. Lett. 24(18), 1311–1313 (1999).
[CrossRef]

1996 (1)

1994 (1)

D. Du, X. Liu, G. Korn, J. Squier, and G. Mourou, “Laser-induced breakdown by impact ionization in SiO2 with pulse widths from 7 ns to 150 fs,” Appl. Phys. Lett. 64(23), 3071–3073 (1994).
[CrossRef]

1973 (1)

A. J. Campillo, S. L. Shapiro, and B. R. Suydam, “Periodic breakup of optical beams due to self-focusing,” Appl. Phys. Lett. 23(11), 628–630 (1973).
[CrossRef]

Akozbek, N.

O. G. Kosareva, T. Nguyen, N. A. Panov, W. Liu, A. Saliminia, V. P. Kandidov, N. Akozbek, M. Scalora, R. Vallee, and S. L. Chin, “Array of femtosecond plasma channels in fused silica,” Opt. Commun. 267(2), 511–523 (2006).
[CrossRef]

Alfano, R. R.

X. Ni, C. Wang, X. Liang, M. AL-Rubaiee, and R. R. Alfano, “Fresnel diffraction supercontinuum generation,” IEEE J. Sel. Top. Quantum Electron. 10(5), 1229–1232 (2004).
[CrossRef]

AL-Rubaiee, M.

X. Ni, C. Wang, X. Liang, M. AL-Rubaiee, and R. R. Alfano, “Fresnel diffraction supercontinuum generation,” IEEE J. Sel. Top. Quantum Electron. 10(5), 1229–1232 (2004).
[CrossRef]

Asahi, H.

Audouard, E.

Begin, M.

J. F. Daigle, O. Kosareva, N. Panov, M. Begin, F. Lessard, C. Marceau, Y. Kamali, G. Roy, V. P. Kandidov, and S. L. Chin, “A simple method to significantly increase filaments’ length and ionization density,” Appl. Phys. B 94(2), 249–257 (2009).
[CrossRef]

Bergé, L.

L. Bergé, S. Mauger, and S. Skupin, “Multifilamentation of powerful optical pulses in silica,” Phys. Rev. A 81(1), 013817 (2010).
[CrossRef]

Bernier, M.

Bérubé, J. P.

Borrelli, N. F.

Burghoff, J.

S. Nolte, M. Will, J. Burghoff, and A. Tuennermann, “Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics,” Appl. Phys., A Mater. Sci. Process. 77(1), 109–111 (2003).
[CrossRef]

Campillo, A. J.

A. J. Campillo, S. L. Shapiro, and B. R. Suydam, “Periodic breakup of optical beams due to self-focusing,” Appl. Phys. Lett. 23(11), 628–630 (1973).
[CrossRef]

Chekalin, S. V.

A. E. Dormidonov, V. P. Kandidov, V. O. Kompanets, and S. V. Chekalin, “Interference effects in the conical emission of a femtosecond filament in fused silica,” JETP Lett. 91(8), 373–377 (2010).
[CrossRef]

Cheng, G.

Chin, S. L.

J. P. Bérubé, R. Vallée, M. Bernier, O. Kosareva, N. Panov, V. Kandidov, and S. L. Chin, “Self and forced periodic arrangement of multiple filaments in glass,” Opt. Express 18(3), 1801–1819 (2010), http://www.opticsinfobase.org/abstract.cfm?uri=oe-18-3-1801 .
[CrossRef] [PubMed]

J. F. Daigle, O. Kosareva, N. Panov, M. Begin, F. Lessard, C. Marceau, Y. Kamali, G. Roy, V. P. Kandidov, and S. L. Chin, “A simple method to significantly increase filaments’ length and ionization density,” Appl. Phys. B 94(2), 249–257 (2009).
[CrossRef]

O. G. Kosareva, T. Nguyen, N. A. Panov, W. Liu, A. Saliminia, V. P. Kandidov, N. Akozbek, M. Scalora, R. Vallee, and S. L. Chin, “Array of femtosecond plasma channels in fused silica,” Opt. Commun. 267(2), 511–523 (2006).
[CrossRef]

W. Liu and S. L. Chin, “Direct measurement of the critical power of femtosecond Ti:sapphire laser pulse in air,” Opt. Express 13(15), 5750–5755 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-15-5750 .
[CrossRef] [PubMed]

W. Liu, S. L. Chin, O. Kosareva, I. S. Golubtsov, and V. P. Kandidov, “Multiple refocusing of a femtosecond laser pulse in a dispersive liquid (methanol),” Opt. Commun. 225(1-3), 193–209 (2003).
[CrossRef]

A. Saliminia, N. T. Nguyen, M. Nadeau, S. Petit, S. L. Chin, and R. Vallee, “Writing optical waveguides in fused silica using 1 kHz femtosecond infrared pulses,” J. Appl. Phys. 93(7), 3724–3728 (2003).
[CrossRef]

Cook, K.

Couairon, A.

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441(2-4), 47–189 (2007).
[CrossRef]

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89(18), 186601 (2002).
[CrossRef] [PubMed]

Daigle, J. F.

J. F. Daigle, O. Kosareva, N. Panov, M. Begin, F. Lessard, C. Marceau, Y. Kamali, G. Roy, V. P. Kandidov, and S. L. Chin, “A simple method to significantly increase filaments’ length and ionization density,” Appl. Phys. B 94(2), 249–257 (2009).
[CrossRef]

Davis, K. M.

Dharmadhikari, A. K.

A. K. Dharmadhikari, J. A. Dharmadhikari, and D. Mathur, “Visualization of focusing-refocusing cycles during filamentation in BaF2,” Appl. Phys. B 94(2), 259–263 (2009).
[CrossRef]

Dharmadhikari, J. A.

A. K. Dharmadhikari, J. A. Dharmadhikari, and D. Mathur, “Visualization of focusing-refocusing cycles during filamentation in BaF2,” Appl. Phys. B 94(2), 259–263 (2009).
[CrossRef]

Dormidonov, A. E.

A. E. Dormidonov, V. P. Kandidov, V. O. Kompanets, and S. V. Chekalin, “Interference effects in the conical emission of a femtosecond filament in fused silica,” JETP Lett. 91(8), 373–377 (2010).
[CrossRef]

Du, D.

D. Du, X. Liu, G. Korn, J. Squier, and G. Mourou, “Laser-induced breakdown by impact ionization in SiO2 with pulse widths from 7 ns to 150 fs,” Appl. Phys. Lett. 64(23), 3071–3073 (1994).
[CrossRef]

Dubietis, A.

D. Majus, V. Jukna, G. Valiulis, and A. Dubietis, “Generation of periodic filament arrays by self-focusing of highly elliptical ultrashort pulsed laser beams,” Phys. Rev. A 79(3), 033843 (2009).
[CrossRef]

Fang, X. J.

X. J. Fang and T. Kobayashi, “Evolution of a super-broadened spectrum in a filament generated by an ultrashort intense laser pulse in fused silica,” Appl. Phys. B 77(2-3), 167–170 (2003).
[CrossRef]

Fechner, M.

K. Stelmaszczyk, P. Rohwetter, Y. Petit, M. Fechner, J. Kasparian, J.-P. Wolf, and L. Wöste, “White-light symmetrization by the interaction of multifilamenting beams,” Phys. Rev. A 79(5), 053856 (2009).
[CrossRef]

P. Rohwetter, M. Queißer, K. Stelmaszczyk, M. Fechner, and L. Wöste, “Laser multiple filamentation control in air using a smooth phase mask,” Phys. Rev. A 77(1), 013812 (2008).
[CrossRef]

Franco, M.

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89(18), 186601 (2002).
[CrossRef] [PubMed]

Furuya, Y.

T. Toma, Y. Furuya, W. Watanabe, K. Itoh, J. Nishii, and K. Hayashi, “Estimation of the refractive index change in glass induced by femtosecond laser pulses,” Opt. Rev. 7(1), 14–17 (2000).
[CrossRef]

Gaeta, A. L.

Golubtsov, I. S.

W. Liu, S. L. Chin, O. Kosareva, I. S. Golubtsov, and V. P. Kandidov, “Multiple refocusing of a femtosecond laser pulse in a dispersive liquid (methanol),” Opt. Commun. 225(1-3), 193–209 (2003).
[CrossRef]

Grow, T. D.

Hao, Z. Q.

Hayashi, K.

T. Toma, Y. Furuya, W. Watanabe, K. Itoh, J. Nishii, and K. Hayashi, “Estimation of the refractive index change in glass induced by femtosecond laser pulses,” Opt. Rev. 7(1), 14–17 (2000).
[CrossRef]

Hertel, I. V.

Hirao, K.

Homoelle, D.

Huot, N.

Itoh, K.

T. Toma, Y. Furuya, W. Watanabe, K. Itoh, J. Nishii, and K. Hayashi, “Estimation of the refractive index change in glass induced by femtosecond laser pulses,” Opt. Rev. 7(1), 14–17 (2000).
[CrossRef]

Jukna, V.

D. Majus, V. Jukna, G. Valiulis, and A. Dubietis, “Generation of periodic filament arrays by self-focusing of highly elliptical ultrashort pulsed laser beams,” Phys. Rev. A 79(3), 033843 (2009).
[CrossRef]

Kamali, Y.

J. F. Daigle, O. Kosareva, N. Panov, M. Begin, F. Lessard, C. Marceau, Y. Kamali, G. Roy, V. P. Kandidov, and S. L. Chin, “A simple method to significantly increase filaments’ length and ionization density,” Appl. Phys. B 94(2), 249–257 (2009).
[CrossRef]

Kandidov, V.

Kandidov, V. P.

A. E. Dormidonov, V. P. Kandidov, V. O. Kompanets, and S. V. Chekalin, “Interference effects in the conical emission of a femtosecond filament in fused silica,” JETP Lett. 91(8), 373–377 (2010).
[CrossRef]

J. F. Daigle, O. Kosareva, N. Panov, M. Begin, F. Lessard, C. Marceau, Y. Kamali, G. Roy, V. P. Kandidov, and S. L. Chin, “A simple method to significantly increase filaments’ length and ionization density,” Appl. Phys. B 94(2), 249–257 (2009).
[CrossRef]

O. G. Kosareva, T. Nguyen, N. A. Panov, W. Liu, A. Saliminia, V. P. Kandidov, N. Akozbek, M. Scalora, R. Vallee, and S. L. Chin, “Array of femtosecond plasma channels in fused silica,” Opt. Commun. 267(2), 511–523 (2006).
[CrossRef]

W. Liu, S. L. Chin, O. Kosareva, I. S. Golubtsov, and V. P. Kandidov, “Multiple refocusing of a femtosecond laser pulse in a dispersive liquid (methanol),” Opt. Commun. 225(1-3), 193–209 (2003).
[CrossRef]

Kar, A. K.

Kasparian, J.

K. Stelmaszczyk, P. Rohwetter, Y. Petit, M. Fechner, J. Kasparian, J.-P. Wolf, and L. Wöste, “White-light symmetrization by the interaction of multifilamenting beams,” Phys. Rev. A 79(5), 053856 (2009).
[CrossRef]

Kobayashi, T.

X. J. Fang and T. Kobayashi, “Evolution of a super-broadened spectrum in a filament generated by an ultrashort intense laser pulse in fused silica,” Appl. Phys. B 77(2-3), 167–170 (2003).
[CrossRef]

Kompanets, V. O.

A. E. Dormidonov, V. P. Kandidov, V. O. Kompanets, and S. V. Chekalin, “Interference effects in the conical emission of a femtosecond filament in fused silica,” JETP Lett. 91(8), 373–377 (2010).
[CrossRef]

Korn, G.

D. Du, X. Liu, G. Korn, J. Squier, and G. Mourou, “Laser-induced breakdown by impact ionization in SiO2 with pulse widths from 7 ns to 150 fs,” Appl. Phys. Lett. 64(23), 3071–3073 (1994).
[CrossRef]

Kosareva, O.

J. P. Bérubé, R. Vallée, M. Bernier, O. Kosareva, N. Panov, V. Kandidov, and S. L. Chin, “Self and forced periodic arrangement of multiple filaments in glass,” Opt. Express 18(3), 1801–1819 (2010), http://www.opticsinfobase.org/abstract.cfm?uri=oe-18-3-1801 .
[CrossRef] [PubMed]

J. F. Daigle, O. Kosareva, N. Panov, M. Begin, F. Lessard, C. Marceau, Y. Kamali, G. Roy, V. P. Kandidov, and S. L. Chin, “A simple method to significantly increase filaments’ length and ionization density,” Appl. Phys. B 94(2), 249–257 (2009).
[CrossRef]

W. Liu, S. L. Chin, O. Kosareva, I. S. Golubtsov, and V. P. Kandidov, “Multiple refocusing of a femtosecond laser pulse in a dispersive liquid (methanol),” Opt. Commun. 225(1-3), 193–209 (2003).
[CrossRef]

Kosareva, O. G.

O. G. Kosareva, T. Nguyen, N. A. Panov, W. Liu, A. Saliminia, V. P. Kandidov, N. Akozbek, M. Scalora, R. Vallee, and S. L. Chin, “Array of femtosecond plasma channels in fused silica,” Opt. Commun. 267(2), 511–523 (2006).
[CrossRef]

Lamb, R. A.

Lamouroux, B.

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89(18), 186601 (2002).
[CrossRef] [PubMed]

Lessard, F.

J. F. Daigle, O. Kosareva, N. Panov, M. Begin, F. Lessard, C. Marceau, Y. Kamali, G. Roy, V. P. Kandidov, and S. L. Chin, “A simple method to significantly increase filaments’ length and ionization density,” Appl. Phys. B 94(2), 249–257 (2009).
[CrossRef]

Li, Y. T.

Liang, X.

X. Ni, C. Wang, X. Liang, M. AL-Rubaiee, and R. R. Alfano, “Fresnel diffraction supercontinuum generation,” IEEE J. Sel. Top. Quantum Electron. 10(5), 1229–1232 (2004).
[CrossRef]

Liu, W.

O. G. Kosareva, T. Nguyen, N. A. Panov, W. Liu, A. Saliminia, V. P. Kandidov, N. Akozbek, M. Scalora, R. Vallee, and S. L. Chin, “Array of femtosecond plasma channels in fused silica,” Opt. Commun. 267(2), 511–523 (2006).
[CrossRef]

W. Liu and S. L. Chin, “Direct measurement of the critical power of femtosecond Ti:sapphire laser pulse in air,” Opt. Express 13(15), 5750–5755 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-15-5750 .
[CrossRef] [PubMed]

W. Liu, S. L. Chin, O. Kosareva, I. S. Golubtsov, and V. P. Kandidov, “Multiple refocusing of a femtosecond laser pulse in a dispersive liquid (methanol),” Opt. Commun. 225(1-3), 193–209 (2003).
[CrossRef]

Liu, X.

D. Du, X. Liu, G. Korn, J. Squier, and G. Mourou, “Laser-induced breakdown by impact ionization in SiO2 with pulse widths from 7 ns to 150 fs,” Appl. Phys. Lett. 64(23), 3071–3073 (1994).
[CrossRef]

Lu, X.

Majus, D.

D. Majus, V. Jukna, G. Valiulis, and A. Dubietis, “Generation of periodic filament arrays by self-focusing of highly elliptical ultrashort pulsed laser beams,” Phys. Rev. A 79(3), 033843 (2009).
[CrossRef]

Marceau, C.

J. F. Daigle, O. Kosareva, N. Panov, M. Begin, F. Lessard, C. Marceau, Y. Kamali, G. Roy, V. P. Kandidov, and S. L. Chin, “A simple method to significantly increase filaments’ length and ionization density,” Appl. Phys. B 94(2), 249–257 (2009).
[CrossRef]

Mathur, D.

A. K. Dharmadhikari, J. A. Dharmadhikari, and D. Mathur, “Visualization of focusing-refocusing cycles during filamentation in BaF2,” Appl. Phys. B 94(2), 259–263 (2009).
[CrossRef]

Matsuo, S.

H. Sun, Y. Xu, S. Matsuo, and H. Misawa, “Microfabrication and characteristics of two-dimensional photonic crystal structures in vitreous silica,” Opt. Rev. 6(5), 396–398 (1999).
[CrossRef]

Mauclair, C.

Mauger, S.

L. Bergé, S. Mauger, and S. Skupin, “Multifilamentation of powerful optical pulses in silica,” Phys. Rev. A 81(1), 013817 (2010).
[CrossRef]

Méndez, C.

C. Méndez, J. Vazquez de Aldana, G. Torchia, and L. Roso, “Optical waveguide arrays induced in fused silica by void-like defects using femtosecond laser pulses,” Appl. Phys. B 86(2), 343–346 (2007).
[CrossRef]

Misawa, H.

Miura, K.

Mourou, G.

D. Du, X. Liu, G. Korn, J. Squier, and G. Mourou, “Laser-induced breakdown by impact ionization in SiO2 with pulse widths from 7 ns to 150 fs,” Appl. Phys. Lett. 64(23), 3071–3073 (1994).
[CrossRef]

Mu, G. G.

Murazawa, N.

Mysyrowicz, A.

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441(2-4), 47–189 (2007).
[CrossRef]

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89(18), 186601 (2002).
[CrossRef] [PubMed]

Nadeau, M.

A. Saliminia, N. T. Nguyen, M. Nadeau, S. Petit, S. L. Chin, and R. Vallee, “Writing optical waveguides in fused silica using 1 kHz femtosecond infrared pulses,” J. Appl. Phys. 93(7), 3724–3728 (2003).
[CrossRef]

Nguyen, N. T.

A. Saliminia, N. T. Nguyen, M. Nadeau, S. Petit, S. L. Chin, and R. Vallee, “Writing optical waveguides in fused silica using 1 kHz femtosecond infrared pulses,” J. Appl. Phys. 93(7), 3724–3728 (2003).
[CrossRef]

Nguyen, T.

O. G. Kosareva, T. Nguyen, N. A. Panov, W. Liu, A. Saliminia, V. P. Kandidov, N. Akozbek, M. Scalora, R. Vallee, and S. L. Chin, “Array of femtosecond plasma channels in fused silica,” Opt. Commun. 267(2), 511–523 (2006).
[CrossRef]

Ni, X.

X. Ni, C. Wang, X. Liang, M. AL-Rubaiee, and R. R. Alfano, “Fresnel diffraction supercontinuum generation,” IEEE J. Sel. Top. Quantum Electron. 10(5), 1229–1232 (2004).
[CrossRef]

Nishii, J.

T. Toma, Y. Furuya, W. Watanabe, K. Itoh, J. Nishii, and K. Hayashi, “Estimation of the refractive index change in glass induced by femtosecond laser pulses,” Opt. Rev. 7(1), 14–17 (2000).
[CrossRef]

Nishijima, Y.

Nolte, S.

S. Nolte, M. Will, J. Burghoff, and A. Tuennermann, “Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics,” Appl. Phys., A Mater. Sci. Process. 77(1), 109–111 (2003).
[CrossRef]

Panov, N.

J. P. Bérubé, R. Vallée, M. Bernier, O. Kosareva, N. Panov, V. Kandidov, and S. L. Chin, “Self and forced periodic arrangement of multiple filaments in glass,” Opt. Express 18(3), 1801–1819 (2010), http://www.opticsinfobase.org/abstract.cfm?uri=oe-18-3-1801 .
[CrossRef] [PubMed]

J. F. Daigle, O. Kosareva, N. Panov, M. Begin, F. Lessard, C. Marceau, Y. Kamali, G. Roy, V. P. Kandidov, and S. L. Chin, “A simple method to significantly increase filaments’ length and ionization density,” Appl. Phys. B 94(2), 249–257 (2009).
[CrossRef]

Panov, N. A.

O. G. Kosareva, T. Nguyen, N. A. Panov, W. Liu, A. Saliminia, V. P. Kandidov, N. Akozbek, M. Scalora, R. Vallee, and S. L. Chin, “Array of femtosecond plasma channels in fused silica,” Opt. Commun. 267(2), 511–523 (2006).
[CrossRef]

Pei-Xiang, L.

W. Ying, L. Yu-Hua, and L. Pei-Xiang, “Infrared femtosecond laser direct-writing digital volume gratings in fused silica,” Chin. Phys. Lett. 27(4), 044213 (2010).
[CrossRef]

Petit, S.

A. Saliminia, N. T. Nguyen, M. Nadeau, S. Petit, S. L. Chin, and R. Vallee, “Writing optical waveguides in fused silica using 1 kHz femtosecond infrared pulses,” J. Appl. Phys. 93(7), 3724–3728 (2003).
[CrossRef]

Petit, Y.

K. Stelmaszczyk, P. Rohwetter, Y. Petit, M. Fechner, J. Kasparian, J.-P. Wolf, and L. Wöste, “White-light symmetrization by the interaction of multifilamenting beams,” Phys. Rev. A 79(5), 053856 (2009).
[CrossRef]

Prade, B.

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89(18), 186601 (2002).
[CrossRef] [PubMed]

Queißer, M.

P. Rohwetter, M. Queißer, K. Stelmaszczyk, M. Fechner, and L. Wöste, “Laser multiple filamentation control in air using a smooth phase mask,” Phys. Rev. A 77(1), 013812 (2008).
[CrossRef]

Rohwetter, P.

K. Stelmaszczyk, P. Rohwetter, Y. Petit, M. Fechner, J. Kasparian, J.-P. Wolf, and L. Wöste, “White-light symmetrization by the interaction of multifilamenting beams,” Phys. Rev. A 79(5), 053856 (2009).
[CrossRef]

P. Rohwetter, M. Queißer, K. Stelmaszczyk, M. Fechner, and L. Wöste, “Laser multiple filamentation control in air using a smooth phase mask,” Phys. Rev. A 77(1), 013812 (2008).
[CrossRef]

Rosenfeld, A.

Roso, L.

C. Méndez, J. Vazquez de Aldana, G. Torchia, and L. Roso, “Optical waveguide arrays induced in fused silica by void-like defects using femtosecond laser pulses,” Appl. Phys. B 86(2), 343–346 (2007).
[CrossRef]

Roy, G.

J. F. Daigle, O. Kosareva, N. Panov, M. Begin, F. Lessard, C. Marceau, Y. Kamali, G. Roy, V. P. Kandidov, and S. L. Chin, “A simple method to significantly increase filaments’ length and ionization density,” Appl. Phys. B 94(2), 249–257 (2009).
[CrossRef]

Saliminia, A.

O. G. Kosareva, T. Nguyen, N. A. Panov, W. Liu, A. Saliminia, V. P. Kandidov, N. Akozbek, M. Scalora, R. Vallee, and S. L. Chin, “Array of femtosecond plasma channels in fused silica,” Opt. Commun. 267(2), 511–523 (2006).
[CrossRef]

A. Saliminia, N. T. Nguyen, M. Nadeau, S. Petit, S. L. Chin, and R. Vallee, “Writing optical waveguides in fused silica using 1 kHz femtosecond infrared pulses,” J. Appl. Phys. 93(7), 3724–3728 (2003).
[CrossRef]

Scalora, M.

O. G. Kosareva, T. Nguyen, N. A. Panov, W. Liu, A. Saliminia, V. P. Kandidov, N. Akozbek, M. Scalora, R. Vallee, and S. L. Chin, “Array of femtosecond plasma channels in fused silica,” Opt. Commun. 267(2), 511–523 (2006).
[CrossRef]

Shapiro, S. L.

A. J. Campillo, S. L. Shapiro, and B. R. Suydam, “Periodic breakup of optical beams due to self-focusing,” Appl. Phys. Lett. 23(11), 628–630 (1973).
[CrossRef]

Skupin, S.

L. Bergé, S. Mauger, and S. Skupin, “Multifilamentation of powerful optical pulses in silica,” Phys. Rev. A 81(1), 013817 (2010).
[CrossRef]

Smith, C.

Squier, J.

D. Du, X. Liu, G. Korn, J. Squier, and G. Mourou, “Laser-induced breakdown by impact ionization in SiO2 with pulse widths from 7 ns to 150 fs,” Appl. Phys. Lett. 64(23), 3071–3073 (1994).
[CrossRef]

Stelmaszczyk, K.

K. Stelmaszczyk, P. Rohwetter, Y. Petit, M. Fechner, J. Kasparian, J.-P. Wolf, and L. Wöste, “White-light symmetrization by the interaction of multifilamenting beams,” Phys. Rev. A 79(5), 053856 (2009).
[CrossRef]

P. Rohwetter, M. Queißer, K. Stelmaszczyk, M. Fechner, and L. Wöste, “Laser multiple filamentation control in air using a smooth phase mask,” Phys. Rev. A 77(1), 013812 (2008).
[CrossRef]

Stoian, R.

Sudrie, L.

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89(18), 186601 (2002).
[CrossRef] [PubMed]

Sugimoto, N.

Sun, H.

H. Sun, Y. Xu, S. Matsuo, and H. Misawa, “Microfabrication and characteristics of two-dimensional photonic crystal structures in vitreous silica,” Opt. Rev. 6(5), 396–398 (1999).
[CrossRef]

Sun, Q.

Suydam, B. R.

A. J. Campillo, S. L. Shapiro, and B. R. Suydam, “Periodic breakup of optical beams due to self-focusing,” Appl. Phys. Lett. 23(11), 628–630 (1973).
[CrossRef]

Toma, T.

T. Toma, Y. Furuya, W. Watanabe, K. Itoh, J. Nishii, and K. Hayashi, “Estimation of the refractive index change in glass induced by femtosecond laser pulses,” Opt. Rev. 7(1), 14–17 (2000).
[CrossRef]

Torchia, G.

C. Méndez, J. Vazquez de Aldana, G. Torchia, and L. Roso, “Optical waveguide arrays induced in fused silica by void-like defects using femtosecond laser pulses,” Appl. Phys. B 86(2), 343–346 (2007).
[CrossRef]

Tuennermann, A.

S. Nolte, M. Will, J. Burghoff, and A. Tuennermann, “Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics,” Appl. Phys., A Mater. Sci. Process. 77(1), 109–111 (2003).
[CrossRef]

Tzortzakis, S.

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89(18), 186601 (2002).
[CrossRef] [PubMed]

Ueno, K.

Valiulis, G.

D. Majus, V. Jukna, G. Valiulis, and A. Dubietis, “Generation of periodic filament arrays by self-focusing of highly elliptical ultrashort pulsed laser beams,” Phys. Rev. A 79(3), 033843 (2009).
[CrossRef]

Vallee, R.

O. G. Kosareva, T. Nguyen, N. A. Panov, W. Liu, A. Saliminia, V. P. Kandidov, N. Akozbek, M. Scalora, R. Vallee, and S. L. Chin, “Array of femtosecond plasma channels in fused silica,” Opt. Commun. 267(2), 511–523 (2006).
[CrossRef]

A. Saliminia, N. T. Nguyen, M. Nadeau, S. Petit, S. L. Chin, and R. Vallee, “Writing optical waveguides in fused silica using 1 kHz femtosecond infrared pulses,” J. Appl. Phys. 93(7), 3724–3728 (2003).
[CrossRef]

Vallée, R.

Vazquez de Aldana, J.

C. Méndez, J. Vazquez de Aldana, G. Torchia, and L. Roso, “Optical waveguide arrays induced in fused silica by void-like defects using femtosecond laser pulses,” Appl. Phys. B 86(2), 343–346 (2007).
[CrossRef]

Wang, C.

X. Ni, C. Wang, X. Liang, M. AL-Rubaiee, and R. R. Alfano, “Fresnel diffraction supercontinuum generation,” IEEE J. Sel. Top. Quantum Electron. 10(5), 1229–1232 (2004).
[CrossRef]

Wang, Z. H.

Watanabe, W.

T. Toma, Y. Furuya, W. Watanabe, K. Itoh, J. Nishii, and K. Hayashi, “Estimation of the refractive index change in glass induced by femtosecond laser pulses,” Opt. Rev. 7(1), 14–17 (2000).
[CrossRef]

Wei, Z. Y.

Wielandy, S.

Will, M.

S. Nolte, M. Will, J. Burghoff, and A. Tuennermann, “Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics,” Appl. Phys., A Mater. Sci. Process. 77(1), 109–111 (2003).
[CrossRef]

Wolf, J.-P.

K. Stelmaszczyk, P. Rohwetter, Y. Petit, M. Fechner, J. Kasparian, J.-P. Wolf, and L. Wöste, “White-light symmetrization by the interaction of multifilamenting beams,” Phys. Rev. A 79(5), 053856 (2009).
[CrossRef]

Wöste, L.

K. Stelmaszczyk, P. Rohwetter, Y. Petit, M. Fechner, J. Kasparian, J.-P. Wolf, and L. Wöste, “White-light symmetrization by the interaction of multifilamenting beams,” Phys. Rev. A 79(5), 053856 (2009).
[CrossRef]

P. Rohwetter, M. Queißer, K. Stelmaszczyk, M. Fechner, and L. Wöste, “Laser multiple filamentation control in air using a smooth phase mask,” Phys. Rev. A 77(1), 013812 (2008).
[CrossRef]

Xi, T. T.

Xu, Y.

H. Sun, Y. Xu, S. Matsuo, and H. Misawa, “Microfabrication and characteristics of two-dimensional photonic crystal structures in vitreous silica,” Opt. Rev. 6(5), 396–398 (1999).
[CrossRef]

Yang, J. J.

Ying, W.

W. Ying, L. Yu-Hua, and L. Pei-Xiang, “Infrared femtosecond laser direct-writing digital volume gratings in fused silica,” Chin. Phys. Lett. 27(4), 044213 (2010).
[CrossRef]

Yu, M. Y.

Yuan, X. H.

Yu-Hua, L.

W. Ying, L. Yu-Hua, and L. Pei-Xiang, “Infrared femtosecond laser direct-writing digital volume gratings in fused silica,” Chin. Phys. Lett. 27(4), 044213 (2010).
[CrossRef]

Zhang, J.

Zhao, W.

Zheng, Z. Y.

Appl. Phys. B (4)

C. Méndez, J. Vazquez de Aldana, G. Torchia, and L. Roso, “Optical waveguide arrays induced in fused silica by void-like defects using femtosecond laser pulses,” Appl. Phys. B 86(2), 343–346 (2007).
[CrossRef]

J. F. Daigle, O. Kosareva, N. Panov, M. Begin, F. Lessard, C. Marceau, Y. Kamali, G. Roy, V. P. Kandidov, and S. L. Chin, “A simple method to significantly increase filaments’ length and ionization density,” Appl. Phys. B 94(2), 249–257 (2009).
[CrossRef]

A. K. Dharmadhikari, J. A. Dharmadhikari, and D. Mathur, “Visualization of focusing-refocusing cycles during filamentation in BaF2,” Appl. Phys. B 94(2), 259–263 (2009).
[CrossRef]

X. J. Fang and T. Kobayashi, “Evolution of a super-broadened spectrum in a filament generated by an ultrashort intense laser pulse in fused silica,” Appl. Phys. B 77(2-3), 167–170 (2003).
[CrossRef]

Appl. Phys. Lett. (2)

A. J. Campillo, S. L. Shapiro, and B. R. Suydam, “Periodic breakup of optical beams due to self-focusing,” Appl. Phys. Lett. 23(11), 628–630 (1973).
[CrossRef]

D. Du, X. Liu, G. Korn, J. Squier, and G. Mourou, “Laser-induced breakdown by impact ionization in SiO2 with pulse widths from 7 ns to 150 fs,” Appl. Phys. Lett. 64(23), 3071–3073 (1994).
[CrossRef]

Appl. Phys., A Mater. Sci. Process. (1)

S. Nolte, M. Will, J. Burghoff, and A. Tuennermann, “Femtosecond waveguide writing: a new avenue to three-dimensional integrated optics,” Appl. Phys., A Mater. Sci. Process. 77(1), 109–111 (2003).
[CrossRef]

Chin. Phys. Lett. (1)

W. Ying, L. Yu-Hua, and L. Pei-Xiang, “Infrared femtosecond laser direct-writing digital volume gratings in fused silica,” Chin. Phys. Lett. 27(4), 044213 (2010).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

X. Ni, C. Wang, X. Liang, M. AL-Rubaiee, and R. R. Alfano, “Fresnel diffraction supercontinuum generation,” IEEE J. Sel. Top. Quantum Electron. 10(5), 1229–1232 (2004).
[CrossRef]

J. Appl. Phys. (1)

A. Saliminia, N. T. Nguyen, M. Nadeau, S. Petit, S. L. Chin, and R. Vallee, “Writing optical waveguides in fused silica using 1 kHz femtosecond infrared pulses,” J. Appl. Phys. 93(7), 3724–3728 (2003).
[CrossRef]

JETP Lett. (1)

A. E. Dormidonov, V. P. Kandidov, V. O. Kompanets, and S. V. Chekalin, “Interference effects in the conical emission of a femtosecond filament in fused silica,” JETP Lett. 91(8), 373–377 (2010).
[CrossRef]

Opt. Commun. (2)

W. Liu, S. L. Chin, O. Kosareva, I. S. Golubtsov, and V. P. Kandidov, “Multiple refocusing of a femtosecond laser pulse in a dispersive liquid (methanol),” Opt. Commun. 225(1-3), 193–209 (2003).
[CrossRef]

O. G. Kosareva, T. Nguyen, N. A. Panov, W. Liu, A. Saliminia, V. P. Kandidov, N. Akozbek, M. Scalora, R. Vallee, and S. L. Chin, “Array of femtosecond plasma channels in fused silica,” Opt. Commun. 267(2), 511–523 (2006).
[CrossRef]

Opt. Express (8)

K. Cook, A. K. Kar, and R. A. Lamb, “White-light filaments induced by diffraction effects,” Opt. Express 13(6), 2025–2031 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-13-6-2025 .
[CrossRef] [PubMed]

T. D. Grow and A. L. Gaeta, “Dependence of multiple filamentation on beam ellipticity,” Opt. Express 13(12), 4594–4599 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?URI=OPEX-13-12-4594 .
[CrossRef] [PubMed]

W. Liu and S. L. Chin, “Direct measurement of the critical power of femtosecond Ti:sapphire laser pulse in air,” Opt. Express 13(15), 5750–5755 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-15-5750 .
[CrossRef] [PubMed]

J. J. Yang and G. G. Mu, “Multi-dimensional observation of white-light filaments generated by femtosecond laser pulses in condensed medium,” Opt. Express 15(8), 4943–4952 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-8-4943 .
[CrossRef] [PubMed]

Z. Q. Hao, J. Zhang, T. T. Xi, X. H. Yuan, Z. Y. Zheng, X. Lu, M. Y. Yu, Y. T. Li, Z. H. Wang, W. Zhao, and Z. Y. Wei, “Optimization of multiple filamentation of femtosecond laser pulses in air using a pinhole,” Opt. Express 15(24), 16102–16109 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-24-16102 .
[CrossRef] [PubMed]

C. Mauclair, G. Cheng, N. Huot, E. Audouard, A. Rosenfeld, I. V. Hertel, and R. Stoian, “Dynamic ultrafast laser spatial tailoring for parallel micromachining of photonic devices in transparent materials,” Opt. Express 17(5), 3531–3542 (2009), http://www.opticsinfobase.org/abstract.cfm?uri=oe-17-5-3531 .
[CrossRef] [PubMed]

J. P. Bérubé, R. Vallée, M. Bernier, O. Kosareva, N. Panov, V. Kandidov, and S. L. Chin, “Self and forced periodic arrangement of multiple filaments in glass,” Opt. Express 18(3), 1801–1819 (2010), http://www.opticsinfobase.org/abstract.cfm?uri=oe-18-3-1801 .
[CrossRef] [PubMed]

Q. Sun, H. Asahi, Y. Nishijima, N. Murazawa, K. Ueno, and H. Misawa, “Pulse duration dependent nonlinear propagation of a focused femtosecond laser pulse in fused silica,” Opt. Express 18(24), 24495–24503 (2010), http://www.opticsinfobase.org/abstract.cfm?uri=oe-18-24-24495 .
[CrossRef] [PubMed]

Opt. Lett. (2)

Opt. Rev. (2)

H. Sun, Y. Xu, S. Matsuo, and H. Misawa, “Microfabrication and characteristics of two-dimensional photonic crystal structures in vitreous silica,” Opt. Rev. 6(5), 396–398 (1999).
[CrossRef]

T. Toma, Y. Furuya, W. Watanabe, K. Itoh, J. Nishii, and K. Hayashi, “Estimation of the refractive index change in glass induced by femtosecond laser pulses,” Opt. Rev. 7(1), 14–17 (2000).
[CrossRef]

Phys. Rep. (1)

A. Couairon and A. Mysyrowicz, “Femtosecond filamentation in transparent media,” Phys. Rep. 441(2-4), 47–189 (2007).
[CrossRef]

Phys. Rev. A (4)

L. Bergé, S. Mauger, and S. Skupin, “Multifilamentation of powerful optical pulses in silica,” Phys. Rev. A 81(1), 013817 (2010).
[CrossRef]

D. Majus, V. Jukna, G. Valiulis, and A. Dubietis, “Generation of periodic filament arrays by self-focusing of highly elliptical ultrashort pulsed laser beams,” Phys. Rev. A 79(3), 033843 (2009).
[CrossRef]

P. Rohwetter, M. Queißer, K. Stelmaszczyk, M. Fechner, and L. Wöste, “Laser multiple filamentation control in air using a smooth phase mask,” Phys. Rev. A 77(1), 013812 (2008).
[CrossRef]

K. Stelmaszczyk, P. Rohwetter, Y. Petit, M. Fechner, J. Kasparian, J.-P. Wolf, and L. Wöste, “White-light symmetrization by the interaction of multifilamenting beams,” Phys. Rev. A 79(5), 053856 (2009).
[CrossRef]

Phys. Rev. Lett. (1)

L. Sudrie, A. Couairon, M. Franco, B. Lamouroux, B. Prade, S. Tzortzakis, and A. Mysyrowicz, “Femtosecond laser-induced damage and filamentary propagation in fused silica,” Phys. Rev. Lett. 89(18), 186601 (2002).
[CrossRef] [PubMed]

Other (1)

http://www.pishaper.com .

Supplementary Material (2)

» Media 1: MOV (1635 KB)     
» Media 2: MOV (3977 KB)     

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Figures (7)

Fig. 1
Fig. 1

The schematic experiment setup.

Fig. 2
Fig. 2

Digital camera image of filaments without using any diaphragm.

Fig. 3
Fig. 3

Typical digital camera images of filaments forming inside the fused silica block when using: (a) a circular hole of diameter 1.5 mm, 3 mm, 5 mm, 6 mm, 7 mm, and 9 mm respectively (see supplementary Media 1), and (b) a slit of width 1.5 mm, 2.1 mm, 2.5 mm, 3 mm, 3.7 mm, and 4.5 mm respectively (see supplementary Media 2).

Fig. 6
Fig. 6

Typical digital camera images of filaments in the bulk of fused silica versus propagation distance from the front face of the block, by using: (a) a circular hole of diameter 5 mm, (b) a slit of width 3 mm, (c) a square aperture of 3 mm size.

Fig. 5
Fig. 5

Side fluorescence images of filamentation in the fused silica block taken with the CCD camera when the circular hole had a diameter of 1.5 mm (a), and without apertures (b). Fluorescence signal from the single filament (a) along propagation distance is plotted on the top.

Fig. 4
Fig. 4

The number of filaments as a function of circular aperture diameter. The transmitted laser energies are inserted above corresponding data points respectively. Note that the filaments number was counted from laser beam only on one image plane as shown in Fig. 3(a), not the total filaments which were generated in the bulk of fused silica.

Fig. 7
Fig. 7

The broadened spectra emitted from two typical filaments respectively. They were calibrated by the transmission coefficient of filters used before the imaging lens and independently normalized.

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