Abstract

Multicolor femtosecond pulses were simultaneously obtained by a cascaded FWM process in fused silica glass. The sideband spectra were tunable by changing the crossing angle of the two input beams. Frequency up-shift and down-shift pulses with energies as high as 1 μJ, durations of 45 fs, nearly diffraction limited Gaussian spatial profiles, and power stability smaller than 2% RMS of the generated sidebands were obtained. These multicolor sidebands can be used in various experiments, such as multicolor pump-probe experiment.

© 2009 Optical Society of America

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  1. Q1. T. Kobayashi, A. Shirakawa, and T. Fuji, "Sub-5-fs transform-limited visible pulse source and its application to real-time spectroscopy," IEEE J. Sel. Top. Quantum Electron. 7,525-538 (2001).
    [CrossRef]
  2. A. Baltuška, T. Fuji, and T. Kobayashi, "Visible pulse compression to 4 fs by optical parametric amplification and programmable dispersion control," Opt. Lett. 27, 306-308 (2002).
    [CrossRef]
  3. G. Cerullo and S. De Silvestri, "Ultrafast optical parametric amplifiers," Rev. Sci. Inst. 74, 1-18 (2003).
    [CrossRef]
  4. H. Crespo, J. T. Mendonça, and A. Dos Santos, "Cascaded highly nondegenerate four-wave-mixing phenomenon in transparent isotropic condensed media," Opt. Lett. 25, 829-831 (2000).
    [CrossRef]
  5. L. Misoguti, S. Backus, C. G. Durfee, R. Bartels, M. M. Murnane, and H. C. Kapteyn, "Generation of broadband VUV light using third-order cascaded processes," Phys. Rev. Lett. 87, 013601(2001).
    [CrossRef] [PubMed]
  6. F. Th’eberge, N. Ak¨ozbek, W. Liu, A. Becker, and S. L. Chin, "Tunable ultrashort laser pulses generated through filamentation in gases," Phys. Rev. Lett. 97, 023904 (2006).
    [CrossRef]
  7. T. Fuji, T. Horio, and T. Suzuki, "Generation of 12 fs deep-ultraviolet pulses by four-wave mixing through filamentation in neon gas," Opt. Lett. 32, 2481-2483 (2007).
    [CrossRef] [PubMed]
  8. T. Fuji and T. Suzuki, "Generation of sub-two-cycle mid-infrared pulses by four-wave mixing through filamentation in air," Opt. Lett. 32, 3330-3332 (2007).
    [CrossRef] [PubMed]
  9. A. Dubietis, G. Tamošauskas, P. Polesana, G. Valiulis, H. Valtna, D. Faccio, P. Di Trapani, and A. Piskarskas, "Highly efficient four-wave parametric amplification in transparent bulk Kerr medium," Opt. Express 15, 11126-11132 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-18-11126.
    [CrossRef] [PubMed]
  10. M. Zhi and A. V. Sokolov, "Broadband coherent light generation in a Raman-active crystal driven by two-color femtosecond laser pulses," Opt. Lett. 32, 2251-2253 (2007).
    [CrossRef] [PubMed]
  11. J. Liu, J. Zhang, and T. Kobayashi, "Broadband coherent anti-Stokes Raman scattering light generation in BBO crystal by using two crossing femtosecond laser pulses," Opt. Lett. 33, 1494-1496 (2008).
    [CrossRef] [PubMed]
  12. H. Valtna, G. Tamošauskas, A. Dubietis, and A. Piskarskas, "High-energy broadband four-wave optical parametric amplification in bulk fused silica," Opt. Lett. 33, 971-973 (2008).
    [CrossRef] [PubMed]
  13. H. Crespo and R. Weigand, "Cascaded four-wave mixing technique for high-power few-cycle pulse generation," in XVI International Conference on Ultrafast Phenomena, (UP, 2008) paper frilp-5.
  14. J. Liu, and T. Kobayashi, "Cascaded four-wave mixing and multicolored arrays generation in a sapphire plate by using two crossing beams of femtosecond laser," Opt. Express 16,22119-22125 (2008).
    [CrossRef] [PubMed]
  15. J. Liu and T. Kobayashi, "Wavelength-tunable multicolored femtosecond laser pulses generation in a fused silica glas," (submitted).
  16. D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, "Optimizing the laser-pulse configuration for coherent Raman spectroscopy," Science 316,265-268(2007).
    [CrossRef] [PubMed]
  17. R. M. Hochstrasser, "Two-dimensional spectroscopy at infrared and optical frequencies," PNAS 104, 14190-14196 (2007).
    [CrossRef] [PubMed]
  18. R. Zgadzaj, E. Gaul, N. H. Matlis, G. Shvets, and M. C. Downer, "Femtosecond pump-probe study of preformed plasma channels," J. Opt. Soc. Am. B 21,1559-1567 (2004).
    [CrossRef]
  19. P. B. Lundquist, D. R. Andersen, and Y. S. Kivshar, "Multicolor solitons due to four-wave mixing," Phys. Rev. E 57, 3551-3555 (1998).
    [CrossRef]
  20. G. Fanjoux, J. Michaud, M. Delqu’e, H. Mailotte, and T. Sylvestre, "Generation of multicolor vector Kerr solitons by cross-phase modulation, four-wave mixing, and stimulated Raman scattering," Opt. Lett. 31, 3480-3482 (2006).
    [CrossRef] [PubMed]

2008 (3)

2007 (6)

2006 (2)

F. Th’eberge, N. Ak¨ozbek, W. Liu, A. Becker, and S. L. Chin, "Tunable ultrashort laser pulses generated through filamentation in gases," Phys. Rev. Lett. 97, 023904 (2006).
[CrossRef]

G. Fanjoux, J. Michaud, M. Delqu’e, H. Mailotte, and T. Sylvestre, "Generation of multicolor vector Kerr solitons by cross-phase modulation, four-wave mixing, and stimulated Raman scattering," Opt. Lett. 31, 3480-3482 (2006).
[CrossRef] [PubMed]

2004 (1)

2003 (1)

G. Cerullo and S. De Silvestri, "Ultrafast optical parametric amplifiers," Rev. Sci. Inst. 74, 1-18 (2003).
[CrossRef]

2002 (1)

2001 (2)

Q1. T. Kobayashi, A. Shirakawa, and T. Fuji, "Sub-5-fs transform-limited visible pulse source and its application to real-time spectroscopy," IEEE J. Sel. Top. Quantum Electron. 7,525-538 (2001).
[CrossRef]

L. Misoguti, S. Backus, C. G. Durfee, R. Bartels, M. M. Murnane, and H. C. Kapteyn, "Generation of broadband VUV light using third-order cascaded processes," Phys. Rev. Lett. 87, 013601(2001).
[CrossRef] [PubMed]

2000 (1)

1998 (1)

P. B. Lundquist, D. R. Andersen, and Y. S. Kivshar, "Multicolor solitons due to four-wave mixing," Phys. Rev. E 57, 3551-3555 (1998).
[CrossRef]

Ak¨ozbek, N.

F. Th’eberge, N. Ak¨ozbek, W. Liu, A. Becker, and S. L. Chin, "Tunable ultrashort laser pulses generated through filamentation in gases," Phys. Rev. Lett. 97, 023904 (2006).
[CrossRef]

Andersen, D. R.

P. B. Lundquist, D. R. Andersen, and Y. S. Kivshar, "Multicolor solitons due to four-wave mixing," Phys. Rev. E 57, 3551-3555 (1998).
[CrossRef]

Ariunbold, G. O.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, "Optimizing the laser-pulse configuration for coherent Raman spectroscopy," Science 316,265-268(2007).
[CrossRef] [PubMed]

Backus, S.

L. Misoguti, S. Backus, C. G. Durfee, R. Bartels, M. M. Murnane, and H. C. Kapteyn, "Generation of broadband VUV light using third-order cascaded processes," Phys. Rev. Lett. 87, 013601(2001).
[CrossRef] [PubMed]

Baltuška, A.

Bartels, R.

L. Misoguti, S. Backus, C. G. Durfee, R. Bartels, M. M. Murnane, and H. C. Kapteyn, "Generation of broadband VUV light using third-order cascaded processes," Phys. Rev. Lett. 87, 013601(2001).
[CrossRef] [PubMed]

Becker, A.

F. Th’eberge, N. Ak¨ozbek, W. Liu, A. Becker, and S. L. Chin, "Tunable ultrashort laser pulses generated through filamentation in gases," Phys. Rev. Lett. 97, 023904 (2006).
[CrossRef]

Cerullo, G.

G. Cerullo and S. De Silvestri, "Ultrafast optical parametric amplifiers," Rev. Sci. Inst. 74, 1-18 (2003).
[CrossRef]

Chin, S. L.

F. Th’eberge, N. Ak¨ozbek, W. Liu, A. Becker, and S. L. Chin, "Tunable ultrashort laser pulses generated through filamentation in gases," Phys. Rev. Lett. 97, 023904 (2006).
[CrossRef]

Crespo, H.

De Silvestri, S.

G. Cerullo and S. De Silvestri, "Ultrafast optical parametric amplifiers," Rev. Sci. Inst. 74, 1-18 (2003).
[CrossRef]

Di Trapani, P.

Dogariu, A.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, "Optimizing the laser-pulse configuration for coherent Raman spectroscopy," Science 316,265-268(2007).
[CrossRef] [PubMed]

Dos Santos, A.

Downer, M. C.

Dubietis, A.

Durfee, C. G.

L. Misoguti, S. Backus, C. G. Durfee, R. Bartels, M. M. Murnane, and H. C. Kapteyn, "Generation of broadband VUV light using third-order cascaded processes," Phys. Rev. Lett. 87, 013601(2001).
[CrossRef] [PubMed]

Faccio, D.

Fanjoux, G.

Fuji, T.

Gaul, E.

Hochstrasser, R. M.

R. M. Hochstrasser, "Two-dimensional spectroscopy at infrared and optical frequencies," PNAS 104, 14190-14196 (2007).
[CrossRef] [PubMed]

Horio, T.

Huang, Y.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, "Optimizing the laser-pulse configuration for coherent Raman spectroscopy," Science 316,265-268(2007).
[CrossRef] [PubMed]

Kapteyn, H. C.

L. Misoguti, S. Backus, C. G. Durfee, R. Bartels, M. M. Murnane, and H. C. Kapteyn, "Generation of broadband VUV light using third-order cascaded processes," Phys. Rev. Lett. 87, 013601(2001).
[CrossRef] [PubMed]

Kivshar, Y. S.

P. B. Lundquist, D. R. Andersen, and Y. S. Kivshar, "Multicolor solitons due to four-wave mixing," Phys. Rev. E 57, 3551-3555 (1998).
[CrossRef]

Kobayashi, T.

Liu, J.

Liu, W.

F. Th’eberge, N. Ak¨ozbek, W. Liu, A. Becker, and S. L. Chin, "Tunable ultrashort laser pulses generated through filamentation in gases," Phys. Rev. Lett. 97, 023904 (2006).
[CrossRef]

Lundquist, P. B.

P. B. Lundquist, D. R. Andersen, and Y. S. Kivshar, "Multicolor solitons due to four-wave mixing," Phys. Rev. E 57, 3551-3555 (1998).
[CrossRef]

Matlis, N. H.

Mendonça, J. T.

Michaud, J.

Misoguti, L.

L. Misoguti, S. Backus, C. G. Durfee, R. Bartels, M. M. Murnane, and H. C. Kapteyn, "Generation of broadband VUV light using third-order cascaded processes," Phys. Rev. Lett. 87, 013601(2001).
[CrossRef] [PubMed]

Murawski, R. K.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, "Optimizing the laser-pulse configuration for coherent Raman spectroscopy," Science 316,265-268(2007).
[CrossRef] [PubMed]

Murnane, M. M.

L. Misoguti, S. Backus, C. G. Durfee, R. Bartels, M. M. Murnane, and H. C. Kapteyn, "Generation of broadband VUV light using third-order cascaded processes," Phys. Rev. Lett. 87, 013601(2001).
[CrossRef] [PubMed]

Pestov, D.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, "Optimizing the laser-pulse configuration for coherent Raman spectroscopy," Science 316,265-268(2007).
[CrossRef] [PubMed]

Piskarskas, A.

Polesana, P.

Rostovtsev, Y. V.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, "Optimizing the laser-pulse configuration for coherent Raman spectroscopy," Science 316,265-268(2007).
[CrossRef] [PubMed]

Sautenkov, V. A.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, "Optimizing the laser-pulse configuration for coherent Raman spectroscopy," Science 316,265-268(2007).
[CrossRef] [PubMed]

Scully, M. O.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, "Optimizing the laser-pulse configuration for coherent Raman spectroscopy," Science 316,265-268(2007).
[CrossRef] [PubMed]

Shirakawa, A.

Q1. T. Kobayashi, A. Shirakawa, and T. Fuji, "Sub-5-fs transform-limited visible pulse source and its application to real-time spectroscopy," IEEE J. Sel. Top. Quantum Electron. 7,525-538 (2001).
[CrossRef]

Shvets, G.

Sokolov, A. V.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, "Optimizing the laser-pulse configuration for coherent Raman spectroscopy," Science 316,265-268(2007).
[CrossRef] [PubMed]

M. Zhi and A. V. Sokolov, "Broadband coherent light generation in a Raman-active crystal driven by two-color femtosecond laser pulses," Opt. Lett. 32, 2251-2253 (2007).
[CrossRef] [PubMed]

Suzuki, T.

Tamošauskas, G.

Th’eberge, F.

F. Th’eberge, N. Ak¨ozbek, W. Liu, A. Becker, and S. L. Chin, "Tunable ultrashort laser pulses generated through filamentation in gases," Phys. Rev. Lett. 97, 023904 (2006).
[CrossRef]

Valiulis, G.

Valtna, H.

Wang, X.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, "Optimizing the laser-pulse configuration for coherent Raman spectroscopy," Science 316,265-268(2007).
[CrossRef] [PubMed]

Zgadzaj, R.

Zhang, J.

Zhi, M.

Zhi, M. C.

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, "Optimizing the laser-pulse configuration for coherent Raman spectroscopy," Science 316,265-268(2007).
[CrossRef] [PubMed]

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

Q1. T. Kobayashi, A. Shirakawa, and T. Fuji, "Sub-5-fs transform-limited visible pulse source and its application to real-time spectroscopy," IEEE J. Sel. Top. Quantum Electron. 7,525-538 (2001).
[CrossRef]

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

Opt. Express (2)

Opt. Lett. (8)

H. Crespo, J. T. Mendonça, and A. Dos Santos, "Cascaded highly nondegenerate four-wave-mixing phenomenon in transparent isotropic condensed media," Opt. Lett. 25, 829-831 (2000).
[CrossRef]

A. Baltuška, T. Fuji, and T. Kobayashi, "Visible pulse compression to 4 fs by optical parametric amplification and programmable dispersion control," Opt. Lett. 27, 306-308 (2002).
[CrossRef]

T. Fuji and T. Suzuki, "Generation of sub-two-cycle mid-infrared pulses by four-wave mixing through filamentation in air," Opt. Lett. 32, 3330-3332 (2007).
[CrossRef] [PubMed]

H. Valtna, G. Tamošauskas, A. Dubietis, and A. Piskarskas, "High-energy broadband four-wave optical parametric amplification in bulk fused silica," Opt. Lett. 33, 971-973 (2008).
[CrossRef] [PubMed]

J. Liu, J. Zhang, and T. Kobayashi, "Broadband coherent anti-Stokes Raman scattering light generation in BBO crystal by using two crossing femtosecond laser pulses," Opt. Lett. 33, 1494-1496 (2008).
[CrossRef] [PubMed]

G. Fanjoux, J. Michaud, M. Delqu’e, H. Mailotte, and T. Sylvestre, "Generation of multicolor vector Kerr solitons by cross-phase modulation, four-wave mixing, and stimulated Raman scattering," Opt. Lett. 31, 3480-3482 (2006).
[CrossRef] [PubMed]

M. Zhi and A. V. Sokolov, "Broadband coherent light generation in a Raman-active crystal driven by two-color femtosecond laser pulses," Opt. Lett. 32, 2251-2253 (2007).
[CrossRef] [PubMed]

T. Fuji, T. Horio, and T. Suzuki, "Generation of 12 fs deep-ultraviolet pulses by four-wave mixing through filamentation in neon gas," Opt. Lett. 32, 2481-2483 (2007).
[CrossRef] [PubMed]

Phys. Rev. E (1)

P. B. Lundquist, D. R. Andersen, and Y. S. Kivshar, "Multicolor solitons due to four-wave mixing," Phys. Rev. E 57, 3551-3555 (1998).
[CrossRef]

Phys. Rev. Lett. (2)

L. Misoguti, S. Backus, C. G. Durfee, R. Bartels, M. M. Murnane, and H. C. Kapteyn, "Generation of broadband VUV light using third-order cascaded processes," Phys. Rev. Lett. 87, 013601(2001).
[CrossRef] [PubMed]

F. Th’eberge, N. Ak¨ozbek, W. Liu, A. Becker, and S. L. Chin, "Tunable ultrashort laser pulses generated through filamentation in gases," Phys. Rev. Lett. 97, 023904 (2006).
[CrossRef]

PNAS (1)

R. M. Hochstrasser, "Two-dimensional spectroscopy at infrared and optical frequencies," PNAS 104, 14190-14196 (2007).
[CrossRef] [PubMed]

Rev. Sci. Inst. (1)

G. Cerullo and S. De Silvestri, "Ultrafast optical parametric amplifiers," Rev. Sci. Inst. 74, 1-18 (2003).
[CrossRef]

Science (1)

D. Pestov, R. K. Murawski, G. O. Ariunbold, X. Wang, M. C. Zhi, A. V. Sokolov, V. A. Sautenkov, Y. V. Rostovtsev, A. Dogariu, Y. Huang, and M. O. Scully, "Optimizing the laser-pulse configuration for coherent Raman spectroscopy," Science 316,265-268(2007).
[CrossRef] [PubMed]

Other (2)

H. Crespo and R. Weigand, "Cascaded four-wave mixing technique for high-power few-cycle pulse generation," in XVI International Conference on Ultrafast Phenomena, (UP, 2008) paper frilp-5.

J. Liu and T. Kobayashi, "Wavelength-tunable multicolored femtosecond laser pulses generation in a fused silica glas," (submitted).

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Figures (6)

Fig. 1.
Fig. 1.

The input pulse duration and phase of beam1 (dashed lines) and of beam2 (solid lines). The inset patterns are the two-dimensional beam profiles of beam1 (lower) and beam2 (upper) on the surface of the fused silica glass.

Fig. 2.
Fig. 2.

(a) The spectra of the sidebands from S1 through AS5 and of the two input beams when the crossing angle between the two input beams was 1.87°. (b) Spectra of AS3 at crossing angles of 1.40°, 1.64°, 1.87°, 2.10°, 2.34°, and 2.57°. The photograph at the top of Fig. 2(a) shows the sidebands on a sheet of white paper placed 30 cm after the glass plate when the crossing angle between the two input beams was 1.87°. The first, second, and third spots from the right edge are S1, beam2, and beam1, respectively.

Fig. 3.
Fig. 3.

Dependence of the angles between the generated sidebands and beam2 (with 0 order number) on the order number of the sidebands when the crossing angle between the two input beams was 1.40°, 1.64°, 1.87°, 2.10°, 2.34°, and 2.57°. Order number -1 refers to S1, 1 refers to AS1, and so on.

Fig. 4.
Fig. 4.

(a) Dependence of the output power on the order number when the crossing angles between the two input beams were 1.40°, 1.87°, 2.10°, and 2.57°. Order number -1 refers to S1, 1 refers to AS1, and so on. (b) The stand deviations of AS1 and beam1, as monitored over four minutes, were 1.82% RMS and 0.97% RMS, respectively.

Fig. 5.
Fig. 5.

(a) Measured and (b) retrieved XFROG traces of S1; (c) measured and (d) retrieved XFROG traces of AS2 when the crossing angle was 1.87°. (e) Recovered intensity profiles and phase of AS1 (solid line) and AS2 (dashed line) (f) Recovered pulse profile and phase of S1.

Fig. 6.
Fig. 6.

The two-dimensional spatial modes of (a) S1 and (b) AS3. (c) The one-dimensional spatial profiles of S1 and AS3, together with a Gaussian fit to S1. The two-dimensional spatial mode of beam2 (d) when beam1 was blocked and (e) when the input power of beam1 was 20 mW.

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