Abstract

In this paper we demonstrate the use of NIR femtosecond filament for improving the generation of second harmonic using a type I BBO crystal. Using this method the beam propagation factor (M2) of the second harmonic was improved significantly; which led to enhancement of the attainable SH intensity by up to two orders of magnitude. This method can be beneficial for applications demanding high intensities, small spot size or long interaction lengths.

© 2009 Optical Society of America

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  1. B. E. A. Saleh and M. C. Teich, Fundamental of Photonics, 1st edition, (John Wiley & Sons, Inc., New York, 1991).
  2. A. Brignon, J.-P. Huignard, M. H. Garrett, and I. Mnushkina, "Spatial beam cleanup of a Nd:YAG laser operating at 1.06 mum with two-wave mixing in Rh:BaTiO(3)," Appl. Opt. 36, 7788-7793 (1997).
    [CrossRef]
  3. A. E. Chiou and P. Yeh, "Beam cleanup using photorefractive two-wave mixing," Opt. Lett. 10, 621-623 (1985).
    [CrossRef] [PubMed]
  4. K. D. Moll, A. L. Gaeta, and G. Fibich, "Self-similar optical wave collapse: observation of the Townes profile," Phys. Rev. Lett. 90, 203902 (2003).
    [CrossRef] [PubMed]
  5. B. Prade, M. Franco, A. Mysyrowicz, A. Couarion, H. Busering, B. Eberle, M. Krenz, D. Seiffer, and O. Vasseur, "Spatial mode cleaning by femtosecond filamentation in air," Opt. Lett. 31, 2601 (2006).
    [CrossRef] [PubMed]
  6. C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673 (2004).
    [CrossRef]
  7. F. Théberge, N. Aközbek, W. Liu, A. Becker, and S. L. Chin, "Tunable ultrashort laser pulses generated through filamentation in gases," Phys. Rev. Lett. 97, 023904 (2006).
    [CrossRef] [PubMed]
  8. G. Stibenz, N. Zhavoronkov, and G. Steinmeyer, "Self-compression of millijoule pulses to 7.8 fs duration in a white-light filament," Opt. Lett. 31, 274 (2006).
    [CrossRef] [PubMed]
  9. S.-H. Cho, W.-S. Chang, J.-G. Kim, and K.-H. Whang, "Self-fabricated single mode waveguide in fluoride glass excited by self-channeled plasma filaments," Appl. Phys. Lett. 91, 121907 (2007).
    [CrossRef]
  10. A. Couairon, and A. Mysyrowicz, "Femtosecond filamentation in transparent media," Phys. Rep. 441, 41 (2006).
  11. L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, "Ultrashort filaments of light in weakly ionized, optically transparent media," Rep. Prog. Phys. 70, 1633-1713 (2007).
    [CrossRef]
  12. R. Y. Chiao, E. Garmire, and C. H. Townes, "Self-Trapping of Optical Beams," Phys. Rev. Lett. 13, 479-482 (1964).
    [CrossRef]
  13. V. I. Bespalov, and V. I. Talanov, "Filamentary Structure of Light Beams in Nonlinear Media," JETP Lett. 3, 307 (1966).
  14. G. Fibich, S. Eisenmann, B. Ilan, and A. Zigler, "Control of multiple filamentation in air," Opt. Lett. 29, 1772-1774 (2004).
    [CrossRef] [PubMed]
  15. G. Méchain, A. Couairon, M. Franco, B. Prade, and A. Mysyrowicz, "Organizing multiple femtosecond filaments in air," Phys. Rev. Lett. 93, 035003 (2004).
    [CrossRef] [PubMed]
  16. M. Mlejnek, M. Kolesik, J. V. Moloney, and E. M. Wright, "Optically Turbulent Femtosecond Light Guide in Air," Phys. Rev. Lett. 83, 2938-2941 (1999).
    [CrossRef]
  17. W. Liu, F. Théberge, E. Arévalo, J.-F. Gravel, A. Becker, and S. L. Chin, "Experiment and simulations on the energy reservoir effect in femtosecond light filaments," Opt. Lett. 30, 2602-2604 (2005).
    [CrossRef] [PubMed]
  18. V. I. Talanov, "Focusing of light in cubic media," JETP Lett. 11, 199-201 (1970).
  19. ?(z)=?0[1+(M2?z??02)2]1/2 , where ?0 is the beam width at the waist, ?(z) is the beam width along the propagation direction z, and ? is the wavelength.
  20. R. H. Kingston, and A. L. McWhorter, "Electromagnetic Mode Mixing in Nonlinear Media," Proc. IEEE 53, 4-12 (1965).
    [CrossRef]
  21. N. Dudovich, D. Oron, and Y. Silberberg, "Single-pulse coherently controlled nonlinear Raman spectroscopy and microscopy," Nature 418, 512-514 (2002).
    [CrossRef] [PubMed]
  22. Y. Barad, H. Eisenberg, M. Horowitz, and Y. Silberberg, ""Nonlinear scanning laser microscopy by third harmonic generation," App," Phys. Lett. 70, 922-924 (1997).
    [CrossRef]

2007

S.-H. Cho, W.-S. Chang, J.-G. Kim, and K.-H. Whang, "Self-fabricated single mode waveguide in fluoride glass excited by self-channeled plasma filaments," Appl. Phys. Lett. 91, 121907 (2007).
[CrossRef]

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, "Ultrashort filaments of light in weakly ionized, optically transparent media," Rep. Prog. Phys. 70, 1633-1713 (2007).
[CrossRef]

2006

A. Couairon, and A. Mysyrowicz, "Femtosecond filamentation in transparent media," Phys. Rep. 441, 41 (2006).

F. Théberge, N. Aközbek, W. Liu, A. Becker, and S. L. Chin, "Tunable ultrashort laser pulses generated through filamentation in gases," Phys. Rev. Lett. 97, 023904 (2006).
[CrossRef] [PubMed]

G. Stibenz, N. Zhavoronkov, and G. Steinmeyer, "Self-compression of millijoule pulses to 7.8 fs duration in a white-light filament," Opt. Lett. 31, 274 (2006).
[CrossRef] [PubMed]

B. Prade, M. Franco, A. Mysyrowicz, A. Couarion, H. Busering, B. Eberle, M. Krenz, D. Seiffer, and O. Vasseur, "Spatial mode cleaning by femtosecond filamentation in air," Opt. Lett. 31, 2601 (2006).
[CrossRef] [PubMed]

2005

2004

G. Fibich, S. Eisenmann, B. Ilan, and A. Zigler, "Control of multiple filamentation in air," Opt. Lett. 29, 1772-1774 (2004).
[CrossRef] [PubMed]

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673 (2004).
[CrossRef]

G. Méchain, A. Couairon, M. Franco, B. Prade, and A. Mysyrowicz, "Organizing multiple femtosecond filaments in air," Phys. Rev. Lett. 93, 035003 (2004).
[CrossRef] [PubMed]

2003

K. D. Moll, A. L. Gaeta, and G. Fibich, "Self-similar optical wave collapse: observation of the Townes profile," Phys. Rev. Lett. 90, 203902 (2003).
[CrossRef] [PubMed]

2002

N. Dudovich, D. Oron, and Y. Silberberg, "Single-pulse coherently controlled nonlinear Raman spectroscopy and microscopy," Nature 418, 512-514 (2002).
[CrossRef] [PubMed]

1999

M. Mlejnek, M. Kolesik, J. V. Moloney, and E. M. Wright, "Optically Turbulent Femtosecond Light Guide in Air," Phys. Rev. Lett. 83, 2938-2941 (1999).
[CrossRef]

1997

Y. Barad, H. Eisenberg, M. Horowitz, and Y. Silberberg, ""Nonlinear scanning laser microscopy by third harmonic generation," App," Phys. Lett. 70, 922-924 (1997).
[CrossRef]

A. Brignon, J.-P. Huignard, M. H. Garrett, and I. Mnushkina, "Spatial beam cleanup of a Nd:YAG laser operating at 1.06 mum with two-wave mixing in Rh:BaTiO(3)," Appl. Opt. 36, 7788-7793 (1997).
[CrossRef]

1985

1970

V. I. Talanov, "Focusing of light in cubic media," JETP Lett. 11, 199-201 (1970).

1966

V. I. Bespalov, and V. I. Talanov, "Filamentary Structure of Light Beams in Nonlinear Media," JETP Lett. 3, 307 (1966).

1965

R. H. Kingston, and A. L. McWhorter, "Electromagnetic Mode Mixing in Nonlinear Media," Proc. IEEE 53, 4-12 (1965).
[CrossRef]

1964

R. Y. Chiao, E. Garmire, and C. H. Townes, "Self-Trapping of Optical Beams," Phys. Rev. Lett. 13, 479-482 (1964).
[CrossRef]

Aközbek, N.

F. Théberge, N. Aközbek, W. Liu, A. Becker, and S. L. Chin, "Tunable ultrashort laser pulses generated through filamentation in gases," Phys. Rev. Lett. 97, 023904 (2006).
[CrossRef] [PubMed]

Arévalo, E.

Barad, Y.

Y. Barad, H. Eisenberg, M. Horowitz, and Y. Silberberg, ""Nonlinear scanning laser microscopy by third harmonic generation," App," Phys. Lett. 70, 922-924 (1997).
[CrossRef]

Becker, A.

F. Théberge, N. Aközbek, W. Liu, A. Becker, and S. L. Chin, "Tunable ultrashort laser pulses generated through filamentation in gases," Phys. Rev. Lett. 97, 023904 (2006).
[CrossRef] [PubMed]

W. Liu, F. Théberge, E. Arévalo, J.-F. Gravel, A. Becker, and S. L. Chin, "Experiment and simulations on the energy reservoir effect in femtosecond light filaments," Opt. Lett. 30, 2602-2604 (2005).
[CrossRef] [PubMed]

Bergé, L.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, "Ultrashort filaments of light in weakly ionized, optically transparent media," Rep. Prog. Phys. 70, 1633-1713 (2007).
[CrossRef]

Bespalov, V. I.

V. I. Bespalov, and V. I. Talanov, "Filamentary Structure of Light Beams in Nonlinear Media," JETP Lett. 3, 307 (1966).

Biegert, J.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673 (2004).
[CrossRef]

Brignon, A.

Busering, H.

Chang, W.-S.

S.-H. Cho, W.-S. Chang, J.-G. Kim, and K.-H. Whang, "Self-fabricated single mode waveguide in fluoride glass excited by self-channeled plasma filaments," Appl. Phys. Lett. 91, 121907 (2007).
[CrossRef]

Chiao, R. Y.

R. Y. Chiao, E. Garmire, and C. H. Townes, "Self-Trapping of Optical Beams," Phys. Rev. Lett. 13, 479-482 (1964).
[CrossRef]

Chin, S. L.

F. Théberge, N. Aközbek, W. Liu, A. Becker, and S. L. Chin, "Tunable ultrashort laser pulses generated through filamentation in gases," Phys. Rev. Lett. 97, 023904 (2006).
[CrossRef] [PubMed]

W. Liu, F. Théberge, E. Arévalo, J.-F. Gravel, A. Becker, and S. L. Chin, "Experiment and simulations on the energy reservoir effect in femtosecond light filaments," Opt. Lett. 30, 2602-2604 (2005).
[CrossRef] [PubMed]

Chiou, A. E.

Cho, S.-H.

S.-H. Cho, W.-S. Chang, J.-G. Kim, and K.-H. Whang, "Self-fabricated single mode waveguide in fluoride glass excited by self-channeled plasma filaments," Appl. Phys. Lett. 91, 121907 (2007).
[CrossRef]

Couairon, A.

A. Couairon, and A. Mysyrowicz, "Femtosecond filamentation in transparent media," Phys. Rep. 441, 41 (2006).

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673 (2004).
[CrossRef]

G. Méchain, A. Couairon, M. Franco, B. Prade, and A. Mysyrowicz, "Organizing multiple femtosecond filaments in air," Phys. Rev. Lett. 93, 035003 (2004).
[CrossRef] [PubMed]

Couarion, A.

Dudovich, N.

N. Dudovich, D. Oron, and Y. Silberberg, "Single-pulse coherently controlled nonlinear Raman spectroscopy and microscopy," Nature 418, 512-514 (2002).
[CrossRef] [PubMed]

Eberle, B.

Eisenberg, H.

Y. Barad, H. Eisenberg, M. Horowitz, and Y. Silberberg, ""Nonlinear scanning laser microscopy by third harmonic generation," App," Phys. Lett. 70, 922-924 (1997).
[CrossRef]

Eisenmann, S.

Fibich, G.

G. Fibich, S. Eisenmann, B. Ilan, and A. Zigler, "Control of multiple filamentation in air," Opt. Lett. 29, 1772-1774 (2004).
[CrossRef] [PubMed]

K. D. Moll, A. L. Gaeta, and G. Fibich, "Self-similar optical wave collapse: observation of the Townes profile," Phys. Rev. Lett. 90, 203902 (2003).
[CrossRef] [PubMed]

Franco, M.

Gaeta, A. L.

K. D. Moll, A. L. Gaeta, and G. Fibich, "Self-similar optical wave collapse: observation of the Townes profile," Phys. Rev. Lett. 90, 203902 (2003).
[CrossRef] [PubMed]

Garmire, E.

R. Y. Chiao, E. Garmire, and C. H. Townes, "Self-Trapping of Optical Beams," Phys. Rev. Lett. 13, 479-482 (1964).
[CrossRef]

Garrett, M. H.

Gravel, J.-F.

Hauri, C. P.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673 (2004).
[CrossRef]

Heinrich, A.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673 (2004).
[CrossRef]

Helbing, F. W.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673 (2004).
[CrossRef]

Horowitz, M.

Y. Barad, H. Eisenberg, M. Horowitz, and Y. Silberberg, ""Nonlinear scanning laser microscopy by third harmonic generation," App," Phys. Lett. 70, 922-924 (1997).
[CrossRef]

Huignard, J.-P.

Ilan, B.

Kasparian, J.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, "Ultrashort filaments of light in weakly ionized, optically transparent media," Rep. Prog. Phys. 70, 1633-1713 (2007).
[CrossRef]

Keller, U.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673 (2004).
[CrossRef]

Kim, J.-G.

S.-H. Cho, W.-S. Chang, J.-G. Kim, and K.-H. Whang, "Self-fabricated single mode waveguide in fluoride glass excited by self-channeled plasma filaments," Appl. Phys. Lett. 91, 121907 (2007).
[CrossRef]

Kingston, R. H.

R. H. Kingston, and A. L. McWhorter, "Electromagnetic Mode Mixing in Nonlinear Media," Proc. IEEE 53, 4-12 (1965).
[CrossRef]

Kolesik, M.

M. Mlejnek, M. Kolesik, J. V. Moloney, and E. M. Wright, "Optically Turbulent Femtosecond Light Guide in Air," Phys. Rev. Lett. 83, 2938-2941 (1999).
[CrossRef]

Kornelis, W.

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673 (2004).
[CrossRef]

Krenz, M.

Liu, W.

F. Théberge, N. Aközbek, W. Liu, A. Becker, and S. L. Chin, "Tunable ultrashort laser pulses generated through filamentation in gases," Phys. Rev. Lett. 97, 023904 (2006).
[CrossRef] [PubMed]

W. Liu, F. Théberge, E. Arévalo, J.-F. Gravel, A. Becker, and S. L. Chin, "Experiment and simulations on the energy reservoir effect in femtosecond light filaments," Opt. Lett. 30, 2602-2604 (2005).
[CrossRef] [PubMed]

McWhorter, A. L.

R. H. Kingston, and A. L. McWhorter, "Electromagnetic Mode Mixing in Nonlinear Media," Proc. IEEE 53, 4-12 (1965).
[CrossRef]

Méchain, G.

G. Méchain, A. Couairon, M. Franco, B. Prade, and A. Mysyrowicz, "Organizing multiple femtosecond filaments in air," Phys. Rev. Lett. 93, 035003 (2004).
[CrossRef] [PubMed]

Mlejnek, M.

M. Mlejnek, M. Kolesik, J. V. Moloney, and E. M. Wright, "Optically Turbulent Femtosecond Light Guide in Air," Phys. Rev. Lett. 83, 2938-2941 (1999).
[CrossRef]

Mnushkina, I.

Moll, K. D.

K. D. Moll, A. L. Gaeta, and G. Fibich, "Self-similar optical wave collapse: observation of the Townes profile," Phys. Rev. Lett. 90, 203902 (2003).
[CrossRef] [PubMed]

Moloney, J. V.

M. Mlejnek, M. Kolesik, J. V. Moloney, and E. M. Wright, "Optically Turbulent Femtosecond Light Guide in Air," Phys. Rev. Lett. 83, 2938-2941 (1999).
[CrossRef]

Mysyrowicz, A.

B. Prade, M. Franco, A. Mysyrowicz, A. Couarion, H. Busering, B. Eberle, M. Krenz, D. Seiffer, and O. Vasseur, "Spatial mode cleaning by femtosecond filamentation in air," Opt. Lett. 31, 2601 (2006).
[CrossRef] [PubMed]

A. Couairon, and A. Mysyrowicz, "Femtosecond filamentation in transparent media," Phys. Rep. 441, 41 (2006).

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673 (2004).
[CrossRef]

G. Méchain, A. Couairon, M. Franco, B. Prade, and A. Mysyrowicz, "Organizing multiple femtosecond filaments in air," Phys. Rev. Lett. 93, 035003 (2004).
[CrossRef] [PubMed]

Nuter, R.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, "Ultrashort filaments of light in weakly ionized, optically transparent media," Rep. Prog. Phys. 70, 1633-1713 (2007).
[CrossRef]

Oron, D.

N. Dudovich, D. Oron, and Y. Silberberg, "Single-pulse coherently controlled nonlinear Raman spectroscopy and microscopy," Nature 418, 512-514 (2002).
[CrossRef] [PubMed]

Prade, B.

Seiffer, D.

Silberberg, Y.

N. Dudovich, D. Oron, and Y. Silberberg, "Single-pulse coherently controlled nonlinear Raman spectroscopy and microscopy," Nature 418, 512-514 (2002).
[CrossRef] [PubMed]

Y. Barad, H. Eisenberg, M. Horowitz, and Y. Silberberg, ""Nonlinear scanning laser microscopy by third harmonic generation," App," Phys. Lett. 70, 922-924 (1997).
[CrossRef]

Skupin, S.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, "Ultrashort filaments of light in weakly ionized, optically transparent media," Rep. Prog. Phys. 70, 1633-1713 (2007).
[CrossRef]

Steinmeyer, G.

Stibenz, G.

Talanov, V. I.

V. I. Talanov, "Focusing of light in cubic media," JETP Lett. 11, 199-201 (1970).

V. I. Bespalov, and V. I. Talanov, "Filamentary Structure of Light Beams in Nonlinear Media," JETP Lett. 3, 307 (1966).

Théberge, F.

F. Théberge, N. Aközbek, W. Liu, A. Becker, and S. L. Chin, "Tunable ultrashort laser pulses generated through filamentation in gases," Phys. Rev. Lett. 97, 023904 (2006).
[CrossRef] [PubMed]

W. Liu, F. Théberge, E. Arévalo, J.-F. Gravel, A. Becker, and S. L. Chin, "Experiment and simulations on the energy reservoir effect in femtosecond light filaments," Opt. Lett. 30, 2602-2604 (2005).
[CrossRef] [PubMed]

Townes, C. H.

R. Y. Chiao, E. Garmire, and C. H. Townes, "Self-Trapping of Optical Beams," Phys. Rev. Lett. 13, 479-482 (1964).
[CrossRef]

Vasseur, O.

Whang, K.-H.

S.-H. Cho, W.-S. Chang, J.-G. Kim, and K.-H. Whang, "Self-fabricated single mode waveguide in fluoride glass excited by self-channeled plasma filaments," Appl. Phys. Lett. 91, 121907 (2007).
[CrossRef]

Wolf, J.-P.

L. Bergé, S. Skupin, R. Nuter, J. Kasparian, and J.-P. Wolf, "Ultrashort filaments of light in weakly ionized, optically transparent media," Rep. Prog. Phys. 70, 1633-1713 (2007).
[CrossRef]

Wright, E. M.

M. Mlejnek, M. Kolesik, J. V. Moloney, and E. M. Wright, "Optically Turbulent Femtosecond Light Guide in Air," Phys. Rev. Lett. 83, 2938-2941 (1999).
[CrossRef]

Yeh, P.

Zhavoronkov, N.

Zigler, A.

Appl. Opt.

Appl. Phys. B

C. P. Hauri, W. Kornelis, F. W. Helbing, A. Heinrich, A. Couairon, A. Mysyrowicz, J. Biegert, and U. Keller, "Generation of intense, carrier-envelope phase-locked few-cycle laser pulses through filamentation," Appl. Phys. B 79, 673 (2004).
[CrossRef]

Appl. Phys. Lett.

S.-H. Cho, W.-S. Chang, J.-G. Kim, and K.-H. Whang, "Self-fabricated single mode waveguide in fluoride glass excited by self-channeled plasma filaments," Appl. Phys. Lett. 91, 121907 (2007).
[CrossRef]

JETP Lett.

V. I. Bespalov, and V. I. Talanov, "Filamentary Structure of Light Beams in Nonlinear Media," JETP Lett. 3, 307 (1966).

V. I. Talanov, "Focusing of light in cubic media," JETP Lett. 11, 199-201 (1970).

Nature

N. Dudovich, D. Oron, and Y. Silberberg, "Single-pulse coherently controlled nonlinear Raman spectroscopy and microscopy," Nature 418, 512-514 (2002).
[CrossRef] [PubMed]

Opt. Lett.

Phys. Lett.

Y. Barad, H. Eisenberg, M. Horowitz, and Y. Silberberg, ""Nonlinear scanning laser microscopy by third harmonic generation," App," Phys. Lett. 70, 922-924 (1997).
[CrossRef]

Phys. Rep.

A. Couairon, and A. Mysyrowicz, "Femtosecond filamentation in transparent media," Phys. Rep. 441, 41 (2006).

Phys. Rev. Lett.

K. D. Moll, A. L. Gaeta, and G. Fibich, "Self-similar optical wave collapse: observation of the Townes profile," Phys. Rev. Lett. 90, 203902 (2003).
[CrossRef] [PubMed]

F. Théberge, N. Aközbek, W. Liu, A. Becker, and S. L. Chin, "Tunable ultrashort laser pulses generated through filamentation in gases," Phys. Rev. Lett. 97, 023904 (2006).
[CrossRef] [PubMed]

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?(z)=?0[1+(M2?z??02)2]1/2 , where ?0 is the beam width at the waist, ?(z) is the beam width along the propagation direction z, and ? is the wavelength.

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Figures (4)

Fig. 1.
Fig. 1.

Schematics of experimental setup.

Fig. 2.
Fig. 2.

800 nm beam profiles just before reaching the first BBO crystal (point A in Fig. 1). (a) Original beam focused to the crystal. (b) Focused beam after passing though a distorting mesh. (c) Filament created from the original beam. (d) Filament created from the mesh distorted beam.

Fig. 3.
Fig. 3.

SHG signal after the first BBO crystal (point B in Fig. 1). (a) SHG signal generated by the original beam (Fig. 2(a)). (b) Filament-induced SHG signal.

Fig. 4.
Fig. 4.

Beam waist measurement and fit for SH signal, (a) without filament as pump, and (b) when pumped by a filament. In both plots red circles are the beam waist along the x-axis, ωx (z) and black squares are measurements along the y-axis, ωy (z). The calculated M2 values are summarized in Table 1.

Tables (1)

Tables Icon

Table 1. Beam propagation parameter (M2 ) for filament-induced and original beam SH signals.

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