Abstract

Ultrabroadband signals were found to be generated by cascaded four-wave mixing in a bulk medium by using two crossing femtosecond laser pulses. As many as fifteen spectral upshifted pulses and two spectral downshifted pulses were obtained with spectral bandwidth broader than 1.5 octaves. Bright upshifted pulses were observed on both sides of the two crossing beams. Two dimensional multicolored arrays were observed for the first time in a sapphire plate medium.

© 2008 Optical Society of America

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  1. G. Cerullo and S. De Silvestri, "Ultrafast optical parametric amplifiers," Rev. Sci. Inst. 74, 1-18 (2003).
    [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. D. Brida, G. Cirmi, C. Manzoni, S. Bonora, P. Villoresi, S. De Silvestri, and G. Cerullo, "Sub-two-cycle light pulses at 1.6 μm from an optical parametric amplifier," Opt. Lett. 33, 741-743 (2008), http://www.opticsinfobase.org/abstract.cfm?URI=ol-33-7-741.
    [CrossRef] [PubMed]
  4. 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] [PubMed]
  5. 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), http://www.opticsinfobase.org/abstract.cfm?URI=ol-32-17-2481.
    [CrossRef] [PubMed]
  6. 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]
  7. 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]
  8. 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]
  9. 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]
  10. M. Zhi, X. Wang, and A. V. Sokolov, "Broadband coherent light generation in diamond driven by femtosecond pulses," Opt. Express 16, 12139-12147 (2008).
    [CrossRef] [PubMed]
  11. E.  Matsubara, T.  Sekikawa, and M.  Yamashita, "Generation of ultrashort optical pulses using multiple coherent anti-Stokes Raman scattering in a crystal at room temperature," Appl. Phys. Lett.  92, 071104 (2008).
    [CrossRef]
  12. H.  Matsuki, K.  Inoue, and E.  Hanamura, "Multiple coherent anti-Stokes Raman scattering due to phonon grating in KNbO3 induced by crossed beams of two-color femtosecond pulses," Phys. Rev. B  75, 024102 (2007).
    [CrossRef]
  13. M.  Zhi and A. V.  Sokolov, "Broadband generation in a Raman crystal driven by a pair of time-delayed linearly chirped pulses," New J. Phys.  10, 025032 (2008).
    [CrossRef]
  14. 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]
  15. 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]
  16. Helder Crespo and Rosa 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.
  17. 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]
  18. 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]
  19. H. Zeng, J. Wu, H. Xu, and K. Wu, "Generation and weak beam control of two-dimensional multicolored arrays in a quadratic nonlinear medium," Phys. Rev. Lett. 96, 083902 (2006).
    [CrossRef] [PubMed]

2008 (6)

2007 (5)

2006 (3)

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] [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]

H. Zeng, J. Wu, H. Xu, and K. Wu, "Generation and weak beam control of two-dimensional multicolored arrays in a quadratic nonlinear medium," Phys. Rev. Lett. 96, 083902 (2006).
[CrossRef] [PubMed]

2003 (1)

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

2002 (1)

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] [PubMed]

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]

Baltuška, A.

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] [PubMed]

Bonora, S.

Brida, D.

Cerullo, G.

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] [PubMed]

Cirmi, G.

Crespo, H.

De Silvestri, S.

Di Trapani, P.

Dos Santos, A.

Dubietis, A.

Faccio, D.

Fanjoux, G.

Fuji, T.

Hanamura, E.

H.  Matsuki, K.  Inoue, and E.  Hanamura, "Multiple coherent anti-Stokes Raman scattering due to phonon grating in KNbO3 induced by crossed beams of two-color femtosecond pulses," Phys. Rev. B  75, 024102 (2007).
[CrossRef]

Horio, T.

Inoue, K.

H.  Matsuki, K.  Inoue, and E.  Hanamura, "Multiple coherent anti-Stokes Raman scattering due to phonon grating in KNbO3 induced by crossed beams of two-color femtosecond pulses," Phys. Rev. B  75, 024102 (2007).
[CrossRef]

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] [PubMed]

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]

Manzoni, C.

Matsubara, E.

E.  Matsubara, T.  Sekikawa, and M.  Yamashita, "Generation of ultrashort optical pulses using multiple coherent anti-Stokes Raman scattering in a crystal at room temperature," Appl. Phys. Lett.  92, 071104 (2008).
[CrossRef]

Matsuki, H.

H.  Matsuki, K.  Inoue, and E.  Hanamura, "Multiple coherent anti-Stokes Raman scattering due to phonon grating in KNbO3 induced by crossed beams of two-color femtosecond pulses," Phys. Rev. B  75, 024102 (2007).
[CrossRef]

Mendonça, J. T.

Michaud, J.

Piskarskas, A.

Polesana, P.

Sekikawa, T.

E.  Matsubara, T.  Sekikawa, and M.  Yamashita, "Generation of ultrashort optical pulses using multiple coherent anti-Stokes Raman scattering in a crystal at room temperature," Appl. Phys. Lett.  92, 071104 (2008).
[CrossRef]

Sokolov, A. V.

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] [PubMed]

Valiulis, G.

Valtna, H.

Villoresi, P.

Wang, X.

Wu, J.

H. Zeng, J. Wu, H. Xu, and K. Wu, "Generation and weak beam control of two-dimensional multicolored arrays in a quadratic nonlinear medium," Phys. Rev. Lett. 96, 083902 (2006).
[CrossRef] [PubMed]

Wu, K.

H. Zeng, J. Wu, H. Xu, and K. Wu, "Generation and weak beam control of two-dimensional multicolored arrays in a quadratic nonlinear medium," Phys. Rev. Lett. 96, 083902 (2006).
[CrossRef] [PubMed]

Xu, H.

H. Zeng, J. Wu, H. Xu, and K. Wu, "Generation and weak beam control of two-dimensional multicolored arrays in a quadratic nonlinear medium," Phys. Rev. Lett. 96, 083902 (2006).
[CrossRef] [PubMed]

Yamashita, M.

E.  Matsubara, T.  Sekikawa, and M.  Yamashita, "Generation of ultrashort optical pulses using multiple coherent anti-Stokes Raman scattering in a crystal at room temperature," Appl. Phys. Lett.  92, 071104 (2008).
[CrossRef]

Zeng, H.

H. Zeng, J. Wu, H. Xu, and K. Wu, "Generation and weak beam control of two-dimensional multicolored arrays in a quadratic nonlinear medium," Phys. Rev. Lett. 96, 083902 (2006).
[CrossRef] [PubMed]

Zhang, J.

Zhi, M.

Appl. Phys. Lett. (1)

E.  Matsubara, T.  Sekikawa, and M.  Yamashita, "Generation of ultrashort optical pulses using multiple coherent anti-Stokes Raman scattering in a crystal at room temperature," Appl. Phys. Lett.  92, 071104 (2008).
[CrossRef]

New J. Phys. (1)

M.  Zhi and A. V.  Sokolov, "Broadband generation in a Raman crystal driven by a pair of time-delayed linearly chirped pulses," New J. Phys.  10, 025032 (2008).
[CrossRef]

Opt. Express (2)

Opt. Lett. (9)

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]

D. Brida, G. Cirmi, C. Manzoni, S. Bonora, P. Villoresi, S. De Silvestri, and G. Cerullo, "Sub-two-cycle light pulses at 1.6 μm from an optical parametric amplifier," Opt. Lett. 33, 741-743 (2008), http://www.opticsinfobase.org/abstract.cfm?URI=ol-33-7-741.
[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), http://www.opticsinfobase.org/abstract.cfm?URI=ol-32-17-2481.
[CrossRef] [PubMed]

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. 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]

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]

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]

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]

Phys. Rev. B (1)

H.  Matsuki, K.  Inoue, and E.  Hanamura, "Multiple coherent anti-Stokes Raman scattering due to phonon grating in KNbO3 induced by crossed beams of two-color femtosecond pulses," Phys. Rev. B  75, 024102 (2007).
[CrossRef]

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)

H. Zeng, J. Wu, H. Xu, and K. Wu, "Generation and weak beam control of two-dimensional multicolored arrays in a quadratic nonlinear medium," Phys. Rev. Lett. 96, 083902 (2006).
[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] [PubMed]

Rev. Sci. Inst. (1)

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

Other (1)

Helder Crespo and Rosa 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.

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Figures (6)

Fig. 1.
Fig. 1.

Experimental setup. VND: variable neutral-density filter. SP: sapphire plate

Fig. 2.
Fig. 2.

The spectra of beam2 (magenta line) and beam1 with a R850 band pass glass filter around 850nm(blue line) or a cut off glass filter at 820nm (black line).

Fig. 3.
Fig. 3.

(a) Photograph and (b)spectra of the high-order sidebands and (c) the low-order sidebands (d) enlarged peak part of spectrum of AR1 observed when a 3mm-thick R850 glass filter was used in beam1 path. ARm (m=1-14) refers to the mth-order upshifted spectrum, and Rn (n=1, 2) refers to the nth-order downshifted spectrum.

Fig. 4.
Fig. 4.

Photographs and spectra of the sidebands light (a) when a short-wavelength-pass glass filter with a cut wavelength at 820nm was used in beam1 path; (b) when no glass filter was used in beam1 path. ARm (m=1-7) refers to the mth-order upshifted spectrum, and Rn (n=2) refers to the nth-order downshifted spectrum.

Fig. 5.
Fig. 5.

Photographs of the multicolored arrays under several different conditions. The conditions were, (a) pulse energy of beam2 was 220µJ; (b) pulse energy of beam2 was increased to 250µJ; (c) the delay of beam2 was tuned about 7fs at 250µJ input pulse energy; and (d) a short wavelength pass glass filter cut at 820nm was inserted in the beam1 path.

Fig. 6.
Fig. 6.

The spectra of different laser spots shown in Fig. 5(d). AR1: the spot beside beam1 on same line, d1: the spot below AR1, u1: the spot over AR1. AR2: the second order upshifted beam, d2: the spot below AR2, u2: the spot over AR2.

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