Abstract

Theoretical investigation on the group velocity control of ultrafast pulses through quadratic cascading nonlinear interaction is presented. The dependences of the fractional time delay as well as the quality factor of the delayed femtosecond pulse on the peak intensity, group velocity mismatch, wave-vector mismatch and the pulse duration are examined. The results may help to understand to what extent some optical operation parameters could have played a role in controlling the ultrashort pulses. We also predict the maximum achievable pulse delay or advancement efficiency without large distortions. A compact solid medium integrating multiple functions including slowing light, wavelength conversion or broadcasting on a single chip, may bring significant practicality and high integration applications at optical communication band.

© 2011 OSA

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
    [CrossRef]
  2. M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Superluminal and slow light propagation in a room-temperature solid,” Science 301(5630), 200–202 (2003).
    [CrossRef] [PubMed]
  3. Z. M. Zhu, D. J. Gauthier, and R. W. Boyd, “Stored light in an optical fiber via stimulated Brillouin scattering,” Science 318(5857), 1748–1750 (2007).
    [CrossRef] [PubMed]
  4. Y. Okawachi, J. E. Sharping, C. Xu, and A. L. Gaeta, “Large tunable optical delays via self-phase modulation and dispersion,” Opt. Express 14(25), 12022–12027 (2006).
    [CrossRef] [PubMed]
  5. R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, “Applications of Slow Light in Telecommunications,” Opt. Photon. News 17(4), 18–23 (2006).
    [CrossRef]
  6. D. J. Gauthier, “Optical communications - Solitons go slow,” Nat. Photonics 1(2), 92–93 (2007).
    [CrossRef]
  7. J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2(11), 775–780 (2006).
    [CrossRef]
  8. M. Marangoni, C. Manzoni, R. Ramponi, G. Cerullo, F. Baronio, C. De Angelis, and K. Kitamura, “Group-velocity control by quadratic nonlinear interactions,” Opt. Lett. 31(4), 534–536 (2006).
    [CrossRef] [PubMed]
  9. M. J. Gong, Y. P. Chen, F. Lu, and X. F. Chen, “All optical wavelength broadcast based on simultaneous Type I QPM broadband SFG and SHG in MgO:PPLN,” Opt. Lett. 35(16), 2672–2674 (2010).
    [CrossRef] [PubMed]
  10. J. F. Zhang, Y. P. Chen, F. Lu, and X. F. Chen, “Flexible wavelength conversion via cascaded second order nonlinearity using broadband SHG in MgO-doped PPLN,” Opt. Express 16(10), 6957–6962 (2008).
    [CrossRef] [PubMed]
  11. S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, “Experimental realization of second harmonic generation in a Fibonacci optical superlattice of LiTaO3,” Phys. Rev. Lett. 78(14), 2752–2755 (1997).
    [CrossRef]
  12. S. N. Zhu, Y. Y. Zhu, and N. B. Ming, “Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice,” Science 278(5339), 843–846 (1997).
    [CrossRef]
  13. N. E. Yu, S. Kurimura, K. Kitamura, J. H. Ro, M. Cha, S. Ashihara, T. Shimura, K. Kuroda, and T. Taira, “Efficient frequency doubling of a femtosecond pulse with simultaneous group-velocity matching and quasi phase matching in periodically poled, MgO-doped lithium niobate,” Appl. Phys. Lett. 82(20), 3388–3390 (2003).
    [CrossRef]
  14. G. P. Agrawal, Nonlinear fiber optics, 3rd ed., (Academic Press, 2001).
  15. D. E. Zelmon, D. L. Small, and D. Jundt, “Infrared corrected Sellmeier coefficients for congruently grown lithium niobate and 5 mol. % magnesium oxide-doped lithium niobate,” J. Opt. Soc. Am. B 14(12), 3319–3322 (1997).
    [CrossRef]
  16. C. R. Menyuk, R. Schiek, and L. Torner, “Solitary waves due to χ(2): χ(2) cascading,” J. Opt. Soc. Am. B 11(12), 2434–2443 (1994).
    [CrossRef]
  17. J. P. Torres and L. Torner, “Self-splitting of beams into spatial solitons in planar waveguides made of quadratic nonlinear media,” Opt. Quantum Electron. 29(7), 757–776 (1997).
    [CrossRef]
  18. F. Baronio, C. De Angelis, M. Marangoni, C. Manzoni, R. Ramponi, and G. Cerullo, “Spectral shift of femtosecond pulses in nonlinear quadratic PPSLT Crystals,” Opt. Express 14(11), 4774–4779 (2006).
    [CrossRef] [PubMed]
  19. W. J. Lu, Y. P. Chen, L. H. Miu, X. F. Chen, Y. X. Xia, and X. L. Zeng, “All-optical tunable group-velocity control of femtosecond pulse by quadratic nonlinear cascading interactions,” Opt. Express 16(1), 355–361 (2008).
    [CrossRef] [PubMed]
  20. W. J. Lu, Y. P. Chen, X. F. Chen, and Y. Xia, “Group Velocity Control of Ultrafast Pulses Based on Electro-Optic Effect and Quadratic Cascading Nonlinearity,” IEEE J. Quantum Electron. 46(7), 1099–1104 (2010).
    [CrossRef]
  21. M. Conforti, F. Baronio, C. De Angelis, G. Sanna, D. Pierleoni, and P. Bassi, “Spectral shaping of feratosecond pulses in aperiodic quasi-phase-matched gratings,” Opt. Commun. 281, 1693–1697 (2008).
  22. M. Marangoni, G. Sanna, D. Brida, M. Conforti, G. Cirmi, C. Manzoni, F. Baronio, P. Bassi, C. De Angelis, and G. Cerullo, “Observation of spectral drift in engineered quadratic nonlinear media,” Appl. Phys. Lett. 93(2), 021107 (2008).
    [CrossRef]

2010 (2)

W. J. Lu, Y. P. Chen, X. F. Chen, and Y. Xia, “Group Velocity Control of Ultrafast Pulses Based on Electro-Optic Effect and Quadratic Cascading Nonlinearity,” IEEE J. Quantum Electron. 46(7), 1099–1104 (2010).
[CrossRef]

M. J. Gong, Y. P. Chen, F. Lu, and X. F. Chen, “All optical wavelength broadcast based on simultaneous Type I QPM broadband SFG and SHG in MgO:PPLN,” Opt. Lett. 35(16), 2672–2674 (2010).
[CrossRef] [PubMed]

2008 (4)

W. J. Lu, Y. P. Chen, L. H. Miu, X. F. Chen, Y. X. Xia, and X. L. Zeng, “All-optical tunable group-velocity control of femtosecond pulse by quadratic nonlinear cascading interactions,” Opt. Express 16(1), 355–361 (2008).
[CrossRef] [PubMed]

J. F. Zhang, Y. P. Chen, F. Lu, and X. F. Chen, “Flexible wavelength conversion via cascaded second order nonlinearity using broadband SHG in MgO-doped PPLN,” Opt. Express 16(10), 6957–6962 (2008).
[CrossRef] [PubMed]

M. Conforti, F. Baronio, C. De Angelis, G. Sanna, D. Pierleoni, and P. Bassi, “Spectral shaping of feratosecond pulses in aperiodic quasi-phase-matched gratings,” Opt. Commun. 281, 1693–1697 (2008).

M. Marangoni, G. Sanna, D. Brida, M. Conforti, G. Cirmi, C. Manzoni, F. Baronio, P. Bassi, C. De Angelis, and G. Cerullo, “Observation of spectral drift in engineered quadratic nonlinear media,” Appl. Phys. Lett. 93(2), 021107 (2008).
[CrossRef]

2007 (2)

Z. M. Zhu, D. J. Gauthier, and R. W. Boyd, “Stored light in an optical fiber via stimulated Brillouin scattering,” Science 318(5857), 1748–1750 (2007).
[CrossRef] [PubMed]

D. J. Gauthier, “Optical communications - Solitons go slow,” Nat. Photonics 1(2), 92–93 (2007).
[CrossRef]

2006 (5)

2003 (2)

N. E. Yu, S. Kurimura, K. Kitamura, J. H. Ro, M. Cha, S. Ashihara, T. Shimura, K. Kuroda, and T. Taira, “Efficient frequency doubling of a femtosecond pulse with simultaneous group-velocity matching and quasi phase matching in periodically poled, MgO-doped lithium niobate,” Appl. Phys. Lett. 82(20), 3388–3390 (2003).
[CrossRef]

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Superluminal and slow light propagation in a room-temperature solid,” Science 301(5630), 200–202 (2003).
[CrossRef] [PubMed]

1999 (1)

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

1997 (4)

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, “Experimental realization of second harmonic generation in a Fibonacci optical superlattice of LiTaO3,” Phys. Rev. Lett. 78(14), 2752–2755 (1997).
[CrossRef]

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, “Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice,” Science 278(5339), 843–846 (1997).
[CrossRef]

J. P. Torres and L. Torner, “Self-splitting of beams into spatial solitons in planar waveguides made of quadratic nonlinear media,” Opt. Quantum Electron. 29(7), 757–776 (1997).
[CrossRef]

D. E. Zelmon, D. L. Small, and D. Jundt, “Infrared corrected Sellmeier coefficients for congruently grown lithium niobate and 5 mol. % magnesium oxide-doped lithium niobate,” J. Opt. Soc. Am. B 14(12), 3319–3322 (1997).
[CrossRef]

1994 (1)

Ashihara, S.

N. E. Yu, S. Kurimura, K. Kitamura, J. H. Ro, M. Cha, S. Ashihara, T. Shimura, K. Kuroda, and T. Taira, “Efficient frequency doubling of a femtosecond pulse with simultaneous group-velocity matching and quasi phase matching in periodically poled, MgO-doped lithium niobate,” Appl. Phys. Lett. 82(20), 3388–3390 (2003).
[CrossRef]

Baronio, F.

M. Conforti, F. Baronio, C. De Angelis, G. Sanna, D. Pierleoni, and P. Bassi, “Spectral shaping of feratosecond pulses in aperiodic quasi-phase-matched gratings,” Opt. Commun. 281, 1693–1697 (2008).

M. Marangoni, G. Sanna, D. Brida, M. Conforti, G. Cirmi, C. Manzoni, F. Baronio, P. Bassi, C. De Angelis, and G. Cerullo, “Observation of spectral drift in engineered quadratic nonlinear media,” Appl. Phys. Lett. 93(2), 021107 (2008).
[CrossRef]

M. Marangoni, C. Manzoni, R. Ramponi, G. Cerullo, F. Baronio, C. De Angelis, and K. Kitamura, “Group-velocity control by quadratic nonlinear interactions,” Opt. Lett. 31(4), 534–536 (2006).
[CrossRef] [PubMed]

F. Baronio, C. De Angelis, M. Marangoni, C. Manzoni, R. Ramponi, and G. Cerullo, “Spectral shift of femtosecond pulses in nonlinear quadratic PPSLT Crystals,” Opt. Express 14(11), 4774–4779 (2006).
[CrossRef] [PubMed]

Bassi, P.

M. Marangoni, G. Sanna, D. Brida, M. Conforti, G. Cirmi, C. Manzoni, F. Baronio, P. Bassi, C. De Angelis, and G. Cerullo, “Observation of spectral drift in engineered quadratic nonlinear media,” Appl. Phys. Lett. 93(2), 021107 (2008).
[CrossRef]

M. Conforti, F. Baronio, C. De Angelis, G. Sanna, D. Pierleoni, and P. Bassi, “Spectral shaping of feratosecond pulses in aperiodic quasi-phase-matched gratings,” Opt. Commun. 281, 1693–1697 (2008).

Behroozi, C. H.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

Bigelow, M. S.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Superluminal and slow light propagation in a room-temperature solid,” Science 301(5630), 200–202 (2003).
[CrossRef] [PubMed]

Boyd, R. W.

Z. M. Zhu, D. J. Gauthier, and R. W. Boyd, “Stored light in an optical fiber via stimulated Brillouin scattering,” Science 318(5857), 1748–1750 (2007).
[CrossRef] [PubMed]

R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, “Applications of Slow Light in Telecommunications,” Opt. Photon. News 17(4), 18–23 (2006).
[CrossRef]

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Superluminal and slow light propagation in a room-temperature solid,” Science 301(5630), 200–202 (2003).
[CrossRef] [PubMed]

Brida, D.

M. Marangoni, G. Sanna, D. Brida, M. Conforti, G. Cirmi, C. Manzoni, F. Baronio, P. Bassi, C. De Angelis, and G. Cerullo, “Observation of spectral drift in engineered quadratic nonlinear media,” Appl. Phys. Lett. 93(2), 021107 (2008).
[CrossRef]

Cerullo, G.

Cha, M.

N. E. Yu, S. Kurimura, K. Kitamura, J. H. Ro, M. Cha, S. Ashihara, T. Shimura, K. Kuroda, and T. Taira, “Efficient frequency doubling of a femtosecond pulse with simultaneous group-velocity matching and quasi phase matching in periodically poled, MgO-doped lithium niobate,” Appl. Phys. Lett. 82(20), 3388–3390 (2003).
[CrossRef]

Chen, X. F.

Chen, Y. P.

Cirmi, G.

M. Marangoni, G. Sanna, D. Brida, M. Conforti, G. Cirmi, C. Manzoni, F. Baronio, P. Bassi, C. De Angelis, and G. Cerullo, “Observation of spectral drift in engineered quadratic nonlinear media,” Appl. Phys. Lett. 93(2), 021107 (2008).
[CrossRef]

Conforti, M.

M. Marangoni, G. Sanna, D. Brida, M. Conforti, G. Cirmi, C. Manzoni, F. Baronio, P. Bassi, C. De Angelis, and G. Cerullo, “Observation of spectral drift in engineered quadratic nonlinear media,” Appl. Phys. Lett. 93(2), 021107 (2008).
[CrossRef]

M. Conforti, F. Baronio, C. De Angelis, G. Sanna, D. Pierleoni, and P. Bassi, “Spectral shaping of feratosecond pulses in aperiodic quasi-phase-matched gratings,” Opt. Commun. 281, 1693–1697 (2008).

De Angelis, C.

M. Conforti, F. Baronio, C. De Angelis, G. Sanna, D. Pierleoni, and P. Bassi, “Spectral shaping of feratosecond pulses in aperiodic quasi-phase-matched gratings,” Opt. Commun. 281, 1693–1697 (2008).

M. Marangoni, G. Sanna, D. Brida, M. Conforti, G. Cirmi, C. Manzoni, F. Baronio, P. Bassi, C. De Angelis, and G. Cerullo, “Observation of spectral drift in engineered quadratic nonlinear media,” Appl. Phys. Lett. 93(2), 021107 (2008).
[CrossRef]

M. Marangoni, C. Manzoni, R. Ramponi, G. Cerullo, F. Baronio, C. De Angelis, and K. Kitamura, “Group-velocity control by quadratic nonlinear interactions,” Opt. Lett. 31(4), 534–536 (2006).
[CrossRef] [PubMed]

F. Baronio, C. De Angelis, M. Marangoni, C. Manzoni, R. Ramponi, and G. Cerullo, “Spectral shift of femtosecond pulses in nonlinear quadratic PPSLT Crystals,” Opt. Express 14(11), 4774–4779 (2006).
[CrossRef] [PubMed]

de Sterke, C. M.

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2(11), 775–780 (2006).
[CrossRef]

Dutton, Z.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

Eggleton, B. J.

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2(11), 775–780 (2006).
[CrossRef]

Gaeta, A. L.

R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, “Applications of Slow Light in Telecommunications,” Opt. Photon. News 17(4), 18–23 (2006).
[CrossRef]

Y. Okawachi, J. E. Sharping, C. Xu, and A. L. Gaeta, “Large tunable optical delays via self-phase modulation and dispersion,” Opt. Express 14(25), 12022–12027 (2006).
[CrossRef] [PubMed]

Gauthier, D. J.

D. J. Gauthier, “Optical communications - Solitons go slow,” Nat. Photonics 1(2), 92–93 (2007).
[CrossRef]

Z. M. Zhu, D. J. Gauthier, and R. W. Boyd, “Stored light in an optical fiber via stimulated Brillouin scattering,” Science 318(5857), 1748–1750 (2007).
[CrossRef] [PubMed]

R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, “Applications of Slow Light in Telecommunications,” Opt. Photon. News 17(4), 18–23 (2006).
[CrossRef]

Ge, C. Z.

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, “Experimental realization of second harmonic generation in a Fibonacci optical superlattice of LiTaO3,” Phys. Rev. Lett. 78(14), 2752–2755 (1997).
[CrossRef]

Gong, M. J.

Harris, S. E.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

Hau, L. V.

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

Jundt, D.

Kitamura, K.

M. Marangoni, C. Manzoni, R. Ramponi, G. Cerullo, F. Baronio, C. De Angelis, and K. Kitamura, “Group-velocity control by quadratic nonlinear interactions,” Opt. Lett. 31(4), 534–536 (2006).
[CrossRef] [PubMed]

N. E. Yu, S. Kurimura, K. Kitamura, J. H. Ro, M. Cha, S. Ashihara, T. Shimura, K. Kuroda, and T. Taira, “Efficient frequency doubling of a femtosecond pulse with simultaneous group-velocity matching and quasi phase matching in periodically poled, MgO-doped lithium niobate,” Appl. Phys. Lett. 82(20), 3388–3390 (2003).
[CrossRef]

Kurimura, S.

N. E. Yu, S. Kurimura, K. Kitamura, J. H. Ro, M. Cha, S. Ashihara, T. Shimura, K. Kuroda, and T. Taira, “Efficient frequency doubling of a femtosecond pulse with simultaneous group-velocity matching and quasi phase matching in periodically poled, MgO-doped lithium niobate,” Appl. Phys. Lett. 82(20), 3388–3390 (2003).
[CrossRef]

Kuroda, K.

N. E. Yu, S. Kurimura, K. Kitamura, J. H. Ro, M. Cha, S. Ashihara, T. Shimura, K. Kuroda, and T. Taira, “Efficient frequency doubling of a femtosecond pulse with simultaneous group-velocity matching and quasi phase matching in periodically poled, MgO-doped lithium niobate,” Appl. Phys. Lett. 82(20), 3388–3390 (2003).
[CrossRef]

Lepeshkin, N. N.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Superluminal and slow light propagation in a room-temperature solid,” Science 301(5630), 200–202 (2003).
[CrossRef] [PubMed]

Littler, I. C. M.

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2(11), 775–780 (2006).
[CrossRef]

Lu, F.

Lu, W. J.

W. J. Lu, Y. P. Chen, X. F. Chen, and Y. Xia, “Group Velocity Control of Ultrafast Pulses Based on Electro-Optic Effect and Quadratic Cascading Nonlinearity,” IEEE J. Quantum Electron. 46(7), 1099–1104 (2010).
[CrossRef]

W. J. Lu, Y. P. Chen, L. H. Miu, X. F. Chen, Y. X. Xia, and X. L. Zeng, “All-optical tunable group-velocity control of femtosecond pulse by quadratic nonlinear cascading interactions,” Opt. Express 16(1), 355–361 (2008).
[CrossRef] [PubMed]

Manzoni, C.

Marangoni, M.

Menyuk, C. R.

Ming, N. B.

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, “Experimental realization of second harmonic generation in a Fibonacci optical superlattice of LiTaO3,” Phys. Rev. Lett. 78(14), 2752–2755 (1997).
[CrossRef]

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, “Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice,” Science 278(5339), 843–846 (1997).
[CrossRef]

Miu, L. H.

Mok, J. T.

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2(11), 775–780 (2006).
[CrossRef]

Okawachi, Y.

Pierleoni, D.

M. Conforti, F. Baronio, C. De Angelis, G. Sanna, D. Pierleoni, and P. Bassi, “Spectral shaping of feratosecond pulses in aperiodic quasi-phase-matched gratings,” Opt. Commun. 281, 1693–1697 (2008).

Qin, Y. Q.

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, “Experimental realization of second harmonic generation in a Fibonacci optical superlattice of LiTaO3,” Phys. Rev. Lett. 78(14), 2752–2755 (1997).
[CrossRef]

Ramponi, R.

Ro, J. H.

N. E. Yu, S. Kurimura, K. Kitamura, J. H. Ro, M. Cha, S. Ashihara, T. Shimura, K. Kuroda, and T. Taira, “Efficient frequency doubling of a femtosecond pulse with simultaneous group-velocity matching and quasi phase matching in periodically poled, MgO-doped lithium niobate,” Appl. Phys. Lett. 82(20), 3388–3390 (2003).
[CrossRef]

Sanna, G.

M. Conforti, F. Baronio, C. De Angelis, G. Sanna, D. Pierleoni, and P. Bassi, “Spectral shaping of feratosecond pulses in aperiodic quasi-phase-matched gratings,” Opt. Commun. 281, 1693–1697 (2008).

M. Marangoni, G. Sanna, D. Brida, M. Conforti, G. Cirmi, C. Manzoni, F. Baronio, P. Bassi, C. De Angelis, and G. Cerullo, “Observation of spectral drift in engineered quadratic nonlinear media,” Appl. Phys. Lett. 93(2), 021107 (2008).
[CrossRef]

Schiek, R.

Sharping, J. E.

Shimura, T.

N. E. Yu, S. Kurimura, K. Kitamura, J. H. Ro, M. Cha, S. Ashihara, T. Shimura, K. Kuroda, and T. Taira, “Efficient frequency doubling of a femtosecond pulse with simultaneous group-velocity matching and quasi phase matching in periodically poled, MgO-doped lithium niobate,” Appl. Phys. Lett. 82(20), 3388–3390 (2003).
[CrossRef]

Small, D. L.

Taira, T.

N. E. Yu, S. Kurimura, K. Kitamura, J. H. Ro, M. Cha, S. Ashihara, T. Shimura, K. Kuroda, and T. Taira, “Efficient frequency doubling of a femtosecond pulse with simultaneous group-velocity matching and quasi phase matching in periodically poled, MgO-doped lithium niobate,” Appl. Phys. Lett. 82(20), 3388–3390 (2003).
[CrossRef]

Torner, L.

J. P. Torres and L. Torner, “Self-splitting of beams into spatial solitons in planar waveguides made of quadratic nonlinear media,” Opt. Quantum Electron. 29(7), 757–776 (1997).
[CrossRef]

C. R. Menyuk, R. Schiek, and L. Torner, “Solitary waves due to χ(2): χ(2) cascading,” J. Opt. Soc. Am. B 11(12), 2434–2443 (1994).
[CrossRef]

Torres, J. P.

J. P. Torres and L. Torner, “Self-splitting of beams into spatial solitons in planar waveguides made of quadratic nonlinear media,” Opt. Quantum Electron. 29(7), 757–776 (1997).
[CrossRef]

Wang, H. F.

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, “Experimental realization of second harmonic generation in a Fibonacci optical superlattice of LiTaO3,” Phys. Rev. Lett. 78(14), 2752–2755 (1997).
[CrossRef]

Xia, Y.

W. J. Lu, Y. P. Chen, X. F. Chen, and Y. Xia, “Group Velocity Control of Ultrafast Pulses Based on Electro-Optic Effect and Quadratic Cascading Nonlinearity,” IEEE J. Quantum Electron. 46(7), 1099–1104 (2010).
[CrossRef]

Xia, Y. X.

Xu, C.

Yu, N. E.

N. E. Yu, S. Kurimura, K. Kitamura, J. H. Ro, M. Cha, S. Ashihara, T. Shimura, K. Kuroda, and T. Taira, “Efficient frequency doubling of a femtosecond pulse with simultaneous group-velocity matching and quasi phase matching in periodically poled, MgO-doped lithium niobate,” Appl. Phys. Lett. 82(20), 3388–3390 (2003).
[CrossRef]

Zelmon, D. E.

Zeng, X. L.

Zhang, J. F.

Zhu, S. N.

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, “Experimental realization of second harmonic generation in a Fibonacci optical superlattice of LiTaO3,” Phys. Rev. Lett. 78(14), 2752–2755 (1997).
[CrossRef]

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, “Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice,” Science 278(5339), 843–846 (1997).
[CrossRef]

Zhu, Y. Y.

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, “Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice,” Science 278(5339), 843–846 (1997).
[CrossRef]

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, “Experimental realization of second harmonic generation in a Fibonacci optical superlattice of LiTaO3,” Phys. Rev. Lett. 78(14), 2752–2755 (1997).
[CrossRef]

Zhu, Z. M.

Z. M. Zhu, D. J. Gauthier, and R. W. Boyd, “Stored light in an optical fiber via stimulated Brillouin scattering,” Science 318(5857), 1748–1750 (2007).
[CrossRef] [PubMed]

Appl. Phys. Lett. (2)

N. E. Yu, S. Kurimura, K. Kitamura, J. H. Ro, M. Cha, S. Ashihara, T. Shimura, K. Kuroda, and T. Taira, “Efficient frequency doubling of a femtosecond pulse with simultaneous group-velocity matching and quasi phase matching in periodically poled, MgO-doped lithium niobate,” Appl. Phys. Lett. 82(20), 3388–3390 (2003).
[CrossRef]

M. Marangoni, G. Sanna, D. Brida, M. Conforti, G. Cirmi, C. Manzoni, F. Baronio, P. Bassi, C. De Angelis, and G. Cerullo, “Observation of spectral drift in engineered quadratic nonlinear media,” Appl. Phys. Lett. 93(2), 021107 (2008).
[CrossRef]

IEEE J. Quantum Electron. (1)

W. J. Lu, Y. P. Chen, X. F. Chen, and Y. Xia, “Group Velocity Control of Ultrafast Pulses Based on Electro-Optic Effect and Quadratic Cascading Nonlinearity,” IEEE J. Quantum Electron. 46(7), 1099–1104 (2010).
[CrossRef]

J. Opt. Soc. Am. B (2)

Nat. Photonics (1)

D. J. Gauthier, “Optical communications - Solitons go slow,” Nat. Photonics 1(2), 92–93 (2007).
[CrossRef]

Nat. Phys. (1)

J. T. Mok, C. M. de Sterke, I. C. M. Littler, and B. J. Eggleton, “Dispersionless slow light using gap solitons,” Nat. Phys. 2(11), 775–780 (2006).
[CrossRef]

Nature (1)

L. V. Hau, S. E. Harris, Z. Dutton, and C. H. Behroozi, “Light speed reduction to 17 metres per second in an ultracold atomic gas,” Nature 397(6720), 594–598 (1999).
[CrossRef]

Opt. Commun. (1)

M. Conforti, F. Baronio, C. De Angelis, G. Sanna, D. Pierleoni, and P. Bassi, “Spectral shaping of feratosecond pulses in aperiodic quasi-phase-matched gratings,” Opt. Commun. 281, 1693–1697 (2008).

Opt. Express (4)

Opt. Lett. (2)

Opt. Photon. News (1)

R. W. Boyd, D. J. Gauthier, and A. L. Gaeta, “Applications of Slow Light in Telecommunications,” Opt. Photon. News 17(4), 18–23 (2006).
[CrossRef]

Opt. Quantum Electron. (1)

J. P. Torres and L. Torner, “Self-splitting of beams into spatial solitons in planar waveguides made of quadratic nonlinear media,” Opt. Quantum Electron. 29(7), 757–776 (1997).
[CrossRef]

Phys. Rev. Lett. (1)

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, “Experimental realization of second harmonic generation in a Fibonacci optical superlattice of LiTaO3,” Phys. Rev. Lett. 78(14), 2752–2755 (1997).
[CrossRef]

Science (3)

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, “Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice,” Science 278(5339), 843–846 (1997).
[CrossRef]

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Superluminal and slow light propagation in a room-temperature solid,” Science 301(5630), 200–202 (2003).
[CrossRef] [PubMed]

Z. M. Zhu, D. J. Gauthier, and R. W. Boyd, “Stored light in an optical fiber via stimulated Brillouin scattering,” Science 318(5857), 1748–1750 (2007).
[CrossRef] [PubMed]

Other (1)

G. P. Agrawal, Nonlinear fiber optics, 3rd ed., (Academic Press, 2001).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (5)

Fig. 1
Fig. 1

The waveform of the input (black dot line) and the output (red solid line for delay and blue dash line for advancement) pulse. Inset: schematic diagram of the group velocity control scheme through quadratic cascading interaction.

Fig. 2
Fig. 2

The fractional time delay (blue diamond line) and the quality factor (red circle line) dependences of input pulse peak intensity. The wavelength of the input FF is 1530 nm at the wave-vector mismatch Δkl = 30π. The inset shows the input (blue line) and output (red line) pulse at low input intensity (0.1 GW/cm2).

Fig. 3
Fig. 3

(a) The fractional time delay (diamond) and the quality factor (circle) as a function of the group velocity mismatch. The blue line shows the case of wave-vector mismatch Δkl = 10π while the red line represents Δkl = 30π. (b) The fractional time delay (diamond) and the quality factor (circle) as a function of the wave-vector mismatch. The wavelength of the input FF is 1530 nm (GVM = 15.5 fs/m) for blue line and 1590 nm (GVM = −14.3 fs/m) for red line.

Fig. 4
Fig. 4

The fractional time delay (blue diamond line) and the quality factor (red circle line) as a function of the input pulse duration. The wavelength and the input peak intensity is 50GW/cm2 .

Fig. 5
Fig. 5

DQP as the function of the input pulse duration and the input pulse peak intensity.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

E 1 z + i k 1 ' ' 2 2 E 1 t 2 = i ρ 1 E 1 * E 2 e x p ( i Δ k 0 z ) + i σ 1 [ | E 1 | 2 E 1 + 2 | E 2 | 2 E 1 ] E 2 z + δ E 2 t + i k 2 ' ' 2 2 E 2 t 2 = i ρ 2 E 1 E 1 e x p ( i Δ k 0 z ) + i σ 2 [ | E 2 | 2 E 2 + 2 | E 1 | 2 E 2 ] .
i E 1 z + 2 i δ ρ 1 ρ 2 Δ k 2 | E 1 | 2 E 1 t k 2 ' ' 2 2 E 1 t 2 + ρ 1 ρ 2 Δ k | E 1 | 2 E 1 = 0 ,
I 1 = f ( t + z γ I 1 ) ,
ϕ = z κ I 1 + g ( t + z γ I 1 ) .
D Q P = τ × Q .

Metrics