Abstract

The limits of the nonlinear Schrödinger equation for the description of propagation of intense laser pulses in the transparent regime of a bulk semiconductor is investigated. Qualitative differences between the nonlinear Schrödinger equation, the optical Bloch equations, and the semiconductor Bloch equations are worked out for the case where the Rabi frequency approaches the detuning between carrier frequency and material transition frequency.

© 2006 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. G. P. Agrawal, Nonlinear Fiber Optics (Academic, 1989).
  2. J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Nonlinear optical beam interaction in waveguide arrays," Phys. Rev. Lett. 93, 093903 (2004).
    [CrossRef] [PubMed]
  3. Y. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
    [CrossRef] [PubMed]
  4. A. Hasegawa, "Generation of a train of soliton pulses by induced modulation instability in optical fibers," Opt. Lett. 9, 288-290 (1984).
    [CrossRef] [PubMed]
  5. U. Bartuch, U. Peschel, Th. Gabler, R. Waldhäusl, and H.-H. Hörhold, "Experimental investigations and numerical simulations of spatial solitons in planar polymer waveguides," Opt. Commun. 134, 49-54 (1997).
    [CrossRef]
  6. T. Pertsch, U. Peschel, and F. Lederer, "Discrete solitons in inhomogeneous waveguide arrays," Chaos 13, 774-753 (2003).
    [CrossRef]
  7. P. K. Shukla and B. Eliasson, "Localization of intense electromagnetic waves in a realtivistically hot plasma," Phys. Rev. Lett. 94, 065002 (2005).
    [CrossRef] [PubMed]
  8. M. Mlejnek, E. M. Wright, and J. V. Moloney, "Dynamic spatial replenishment of femtosecond pulses propagating in air," Opt. Lett. 23, 382-384 (1998).
    [CrossRef]
  9. K. D. Moll, A. K. Gaeta, and G. Fibich, "Self-similar optical wave collapse: observation of the Townes profile," Phys. Rev. Lett. 90, 203902 (2003).
    [CrossRef] [PubMed]
  10. G. G. Luther, A. C. Newell, J. V. Moloney, and E. M. Wright, "Short-pulse conical emission and spectral broadening in normally dispersive media," Opt. Lett. 19, 789-791 (1994).
    [CrossRef] [PubMed]
  11. H. Haug and S. W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors, 3rd ed. (World Scientific, 1994).
  12. T. Höner zu Siederdissen, N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, G. Khitrova, H. M. Gibbs, S. W. Koch, and H. Giessen, "Transition between different coherent light-matter interaction regimes analyzed by phase-resolved pulse propagation," Opt. Lett. 30, 1384-1386 (2005).
    [CrossRef]
  13. P. Dumais, A. Villeneuve, and J. S. Aitchison, "Bright temporal solitonlike pulses in self-defocusing AlGaAs waveguides near 800nm," Opt. Lett. 21, 260-262 (1996).
    [CrossRef] [PubMed]
  14. T. Höner zu Siederdissen, N. C. Nielsen, J. Kuhl, and H. Giessen, "Influence of near-resonant self-phase modulation on pulse propagation in semiconductors," J. Opt. Soc. Am. B 23, 1360-1370 (2006).
    [CrossRef]
  15. P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, "Propagation-induced escape from adiabatic following in a semiconductor," Phys. Rev. Lett. 69, 852-855 (1992).
    [CrossRef] [PubMed]
  16. L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987).
  17. S. W. Koch, N. Peyghambarian, and M. Lindberg, "Transient and steady-state optical nonlinearities in semiconductors," J. Phys. C 21, 5229-5249 (1998).
    [CrossRef]
  18. C. Ell, J. F. Müller, K. El Sayed, and H. Haug, "Influence of many-body interactions on the excitonic optical Stark effect," Phys. Rev. Lett. 62, 304-307 (1989).
    [CrossRef] [PubMed]
  19. A. Knorr, R. Binder, M. Lindberg, and S. W. Koch, "Theoretical study of resonant ultrashort-pulse propagation in semconductors," Phys. Rev. A 46, 7179-7186 (1992).
    [CrossRef] [PubMed]
  20. M. Lindberg and S. W. Kock, "Effective Bloch equations for semiconductors," Phys. Rev. B 38, 3342-3350 (1988).
    [CrossRef]
  21. J. D. Dow and D. Redfield, "Electroabsorption in semiconductors: the excitonic absorption edge," Phys. Rev. B 1, 3358-3371 (1970).
    [CrossRef]
  22. I. A. Merkulov and V. I. Perel, "Effects of electron-hole interaction on electro absorption in semiconductors," Phys. Lett. 45, 83-84 (1973).
    [CrossRef]
  23. dcv=0.3eVnm,epsir=12.7,omega0=2.309fs−1,mr=0.569m0,gamma0=0.55meV, α=1.05*10−7nm,β2=−0.002rmfs2/nm−1.
  24. T. Mishina, "Forward and backward self-consistent approach to coherent-light propagation in stratified structures," Phys. Rev. B 54, 13630-13634 (1996).
    [CrossRef]
  25. N. C. Nielsen, T. Höner zu Siederdissen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, and H. Giessen, "Phase evolution of solitonlike optical pulses during excitonic Rabi flopping in a semiconductor," Phys. Rev. Lett. 94, 057406 (2005).
    [CrossRef] [PubMed]
  26. D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, "Coherent propagation and quantum beats of quadrupole polaritons in Cu2O," Phys. Rev. Lett. 67, 2343-2346 (1991).
    [CrossRef] [PubMed]

2006 (1)

2005 (3)

T. Höner zu Siederdissen, N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, G. Khitrova, H. M. Gibbs, S. W. Koch, and H. Giessen, "Transition between different coherent light-matter interaction regimes analyzed by phase-resolved pulse propagation," Opt. Lett. 30, 1384-1386 (2005).
[CrossRef]

P. K. Shukla and B. Eliasson, "Localization of intense electromagnetic waves in a realtivistically hot plasma," Phys. Rev. Lett. 94, 065002 (2005).
[CrossRef] [PubMed]

N. C. Nielsen, T. Höner zu Siederdissen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, and H. Giessen, "Phase evolution of solitonlike optical pulses during excitonic Rabi flopping in a semiconductor," Phys. Rev. Lett. 94, 057406 (2005).
[CrossRef] [PubMed]

2004 (2)

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Nonlinear optical beam interaction in waveguide arrays," Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

Y. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
[CrossRef] [PubMed]

2003 (2)

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

T. Pertsch, U. Peschel, and F. Lederer, "Discrete solitons in inhomogeneous waveguide arrays," Chaos 13, 774-753 (2003).
[CrossRef]

1998 (2)

S. W. Koch, N. Peyghambarian, and M. Lindberg, "Transient and steady-state optical nonlinearities in semiconductors," J. Phys. C 21, 5229-5249 (1998).
[CrossRef]

M. Mlejnek, E. M. Wright, and J. V. Moloney, "Dynamic spatial replenishment of femtosecond pulses propagating in air," Opt. Lett. 23, 382-384 (1998).
[CrossRef]

1997 (1)

U. Bartuch, U. Peschel, Th. Gabler, R. Waldhäusl, and H.-H. Hörhold, "Experimental investigations and numerical simulations of spatial solitons in planar polymer waveguides," Opt. Commun. 134, 49-54 (1997).
[CrossRef]

1996 (2)

P. Dumais, A. Villeneuve, and J. S. Aitchison, "Bright temporal solitonlike pulses in self-defocusing AlGaAs waveguides near 800nm," Opt. Lett. 21, 260-262 (1996).
[CrossRef] [PubMed]

T. Mishina, "Forward and backward self-consistent approach to coherent-light propagation in stratified structures," Phys. Rev. B 54, 13630-13634 (1996).
[CrossRef]

1994 (1)

1992 (2)

A. Knorr, R. Binder, M. Lindberg, and S. W. Koch, "Theoretical study of resonant ultrashort-pulse propagation in semconductors," Phys. Rev. A 46, 7179-7186 (1992).
[CrossRef] [PubMed]

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, "Propagation-induced escape from adiabatic following in a semiconductor," Phys. Rev. Lett. 69, 852-855 (1992).
[CrossRef] [PubMed]

1991 (1)

D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, "Coherent propagation and quantum beats of quadrupole polaritons in Cu2O," Phys. Rev. Lett. 67, 2343-2346 (1991).
[CrossRef] [PubMed]

1989 (1)

C. Ell, J. F. Müller, K. El Sayed, and H. Haug, "Influence of many-body interactions on the excitonic optical Stark effect," Phys. Rev. Lett. 62, 304-307 (1989).
[CrossRef] [PubMed]

1988 (1)

M. Lindberg and S. W. Kock, "Effective Bloch equations for semiconductors," Phys. Rev. B 38, 3342-3350 (1988).
[CrossRef]

1984 (1)

1973 (1)

I. A. Merkulov and V. I. Perel, "Effects of electron-hole interaction on electro absorption in semiconductors," Phys. Lett. 45, 83-84 (1973).
[CrossRef]

1970 (1)

J. D. Dow and D. Redfield, "Electroabsorption in semiconductors: the excitonic absorption edge," Phys. Rev. B 1, 3358-3371 (1970).
[CrossRef]

Agrawal, G. P.

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 1989).

Aitchison, J. S.

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Nonlinear optical beam interaction in waveguide arrays," Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

P. Dumais, A. Villeneuve, and J. S. Aitchison, "Bright temporal solitonlike pulses in self-defocusing AlGaAs waveguides near 800nm," Opt. Lett. 21, 260-262 (1996).
[CrossRef] [PubMed]

Allen, L.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987).

Bartuch, U.

U. Bartuch, U. Peschel, Th. Gabler, R. Waldhäusl, and H.-H. Hörhold, "Experimental investigations and numerical simulations of spatial solitons in planar polymer waveguides," Opt. Commun. 134, 49-54 (1997).
[CrossRef]

Binder, R.

A. Knorr, R. Binder, M. Lindberg, and S. W. Koch, "Theoretical study of resonant ultrashort-pulse propagation in semconductors," Phys. Rev. A 46, 7179-7186 (1992).
[CrossRef] [PubMed]

Brown de Colstoun, F.

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, "Propagation-induced escape from adiabatic following in a semiconductor," Phys. Rev. Lett. 69, 852-855 (1992).
[CrossRef] [PubMed]

Crasovan, L.-C.

Y. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
[CrossRef] [PubMed]

Dow, J. D.

J. D. Dow and D. Redfield, "Electroabsorption in semiconductors: the excitonic absorption edge," Phys. Rev. B 1, 3358-3371 (1970).
[CrossRef]

Dumais, P.

Eberly, J. H.

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987).

El Sayed, K.

C. Ell, J. F. Müller, K. El Sayed, and H. Haug, "Influence of many-body interactions on the excitonic optical Stark effect," Phys. Rev. Lett. 62, 304-307 (1989).
[CrossRef] [PubMed]

Eliasson, B.

P. K. Shukla and B. Eliasson, "Localization of intense electromagnetic waves in a realtivistically hot plasma," Phys. Rev. Lett. 94, 065002 (2005).
[CrossRef] [PubMed]

Ell, C.

C. Ell, J. F. Müller, K. El Sayed, and H. Haug, "Influence of many-body interactions on the excitonic optical Stark effect," Phys. Rev. Lett. 62, 304-307 (1989).
[CrossRef] [PubMed]

Fibich, G.

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

Förstner, J.

T. Höner zu Siederdissen, N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, G. Khitrova, H. M. Gibbs, S. W. Koch, and H. Giessen, "Transition between different coherent light-matter interaction regimes analyzed by phase-resolved pulse propagation," Opt. Lett. 30, 1384-1386 (2005).
[CrossRef]

N. C. Nielsen, T. Höner zu Siederdissen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, and H. Giessen, "Phase evolution of solitonlike optical pulses during excitonic Rabi flopping in a semiconductor," Phys. Rev. Lett. 94, 057406 (2005).
[CrossRef] [PubMed]

Fröhlich, D.

D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, "Coherent propagation and quantum beats of quadrupole polaritons in Cu2O," Phys. Rev. Lett. 67, 2343-2346 (1991).
[CrossRef] [PubMed]

Gabler, Th.

U. Bartuch, U. Peschel, Th. Gabler, R. Waldhäusl, and H.-H. Hörhold, "Experimental investigations and numerical simulations of spatial solitons in planar polymer waveguides," Opt. Commun. 134, 49-54 (1997).
[CrossRef]

Gaeta, A. K.

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

Gibbs, H. M.

T. Höner zu Siederdissen, N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, G. Khitrova, H. M. Gibbs, S. W. Koch, and H. Giessen, "Transition between different coherent light-matter interaction regimes analyzed by phase-resolved pulse propagation," Opt. Lett. 30, 1384-1386 (2005).
[CrossRef]

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, "Propagation-induced escape from adiabatic following in a semiconductor," Phys. Rev. Lett. 69, 852-855 (1992).
[CrossRef] [PubMed]

Giessen, H.

Harten, P. A.

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, "Propagation-induced escape from adiabatic following in a semiconductor," Phys. Rev. Lett. 69, 852-855 (1992).
[CrossRef] [PubMed]

Hasegawa, A.

Haug, H.

C. Ell, J. F. Müller, K. El Sayed, and H. Haug, "Influence of many-body interactions on the excitonic optical Stark effect," Phys. Rev. Lett. 62, 304-307 (1989).
[CrossRef] [PubMed]

H. Haug and S. W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors, 3rd ed. (World Scientific, 1994).

Höner zu Siederdissen, T.

Hörhold, H.-H.

U. Bartuch, U. Peschel, Th. Gabler, R. Waldhäusl, and H.-H. Hörhold, "Experimental investigations and numerical simulations of spatial solitons in planar polymer waveguides," Opt. Commun. 134, 49-54 (1997).
[CrossRef]

Jin, R.

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, "Propagation-induced escape from adiabatic following in a semiconductor," Phys. Rev. Lett. 69, 852-855 (1992).
[CrossRef] [PubMed]

Kartashov, Y.

Y. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
[CrossRef] [PubMed]

Khitrova, G.

T. Höner zu Siederdissen, N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, G. Khitrova, H. M. Gibbs, S. W. Koch, and H. Giessen, "Transition between different coherent light-matter interaction regimes analyzed by phase-resolved pulse propagation," Opt. Lett. 30, 1384-1386 (2005).
[CrossRef]

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, "Propagation-induced escape from adiabatic following in a semiconductor," Phys. Rev. Lett. 69, 852-855 (1992).
[CrossRef] [PubMed]

Knorr, A.

T. Höner zu Siederdissen, N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, G. Khitrova, H. M. Gibbs, S. W. Koch, and H. Giessen, "Transition between different coherent light-matter interaction regimes analyzed by phase-resolved pulse propagation," Opt. Lett. 30, 1384-1386 (2005).
[CrossRef]

N. C. Nielsen, T. Höner zu Siederdissen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, and H. Giessen, "Phase evolution of solitonlike optical pulses during excitonic Rabi flopping in a semiconductor," Phys. Rev. Lett. 94, 057406 (2005).
[CrossRef] [PubMed]

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, "Propagation-induced escape from adiabatic following in a semiconductor," Phys. Rev. Lett. 69, 852-855 (1992).
[CrossRef] [PubMed]

A. Knorr, R. Binder, M. Lindberg, and S. W. Koch, "Theoretical study of resonant ultrashort-pulse propagation in semconductors," Phys. Rev. A 46, 7179-7186 (1992).
[CrossRef] [PubMed]

Koch, S. W.

T. Höner zu Siederdissen, N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, G. Khitrova, H. M. Gibbs, S. W. Koch, and H. Giessen, "Transition between different coherent light-matter interaction regimes analyzed by phase-resolved pulse propagation," Opt. Lett. 30, 1384-1386 (2005).
[CrossRef]

S. W. Koch, N. Peyghambarian, and M. Lindberg, "Transient and steady-state optical nonlinearities in semiconductors," J. Phys. C 21, 5229-5249 (1998).
[CrossRef]

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, "Propagation-induced escape from adiabatic following in a semiconductor," Phys. Rev. Lett. 69, 852-855 (1992).
[CrossRef] [PubMed]

A. Knorr, R. Binder, M. Lindberg, and S. W. Koch, "Theoretical study of resonant ultrashort-pulse propagation in semconductors," Phys. Rev. A 46, 7179-7186 (1992).
[CrossRef] [PubMed]

H. Haug and S. W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors, 3rd ed. (World Scientific, 1994).

Kock, S. W.

M. Lindberg and S. W. Kock, "Effective Bloch equations for semiconductors," Phys. Rev. B 38, 3342-3350 (1988).
[CrossRef]

Kuhl, J.

Kulik, A.

D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, "Coherent propagation and quantum beats of quadrupole polaritons in Cu2O," Phys. Rev. Lett. 67, 2343-2346 (1991).
[CrossRef] [PubMed]

Langer, V.

D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, "Coherent propagation and quantum beats of quadrupole polaritons in Cu2O," Phys. Rev. Lett. 67, 2343-2346 (1991).
[CrossRef] [PubMed]

Lederer, F.

T. Pertsch, U. Peschel, and F. Lederer, "Discrete solitons in inhomogeneous waveguide arrays," Chaos 13, 774-753 (2003).
[CrossRef]

Lee, S. G.

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, "Propagation-induced escape from adiabatic following in a semiconductor," Phys. Rev. Lett. 69, 852-855 (1992).
[CrossRef] [PubMed]

Lewenstein, M.

Y. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
[CrossRef] [PubMed]

Lindberg, M.

S. W. Koch, N. Peyghambarian, and M. Lindberg, "Transient and steady-state optical nonlinearities in semiconductors," J. Phys. C 21, 5229-5249 (1998).
[CrossRef]

A. Knorr, R. Binder, M. Lindberg, and S. W. Koch, "Theoretical study of resonant ultrashort-pulse propagation in semconductors," Phys. Rev. A 46, 7179-7186 (1992).
[CrossRef] [PubMed]

M. Lindberg and S. W. Kock, "Effective Bloch equations for semiconductors," Phys. Rev. B 38, 3342-3350 (1988).
[CrossRef]

Luther, G. G.

Meier, J.

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Nonlinear optical beam interaction in waveguide arrays," Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

Merkulov, I. A.

I. A. Merkulov and V. I. Perel, "Effects of electron-hole interaction on electro absorption in semiconductors," Phys. Lett. 45, 83-84 (1973).
[CrossRef]

Mishina, T.

T. Mishina, "Forward and backward self-consistent approach to coherent-light propagation in stratified structures," Phys. Rev. B 54, 13630-13634 (1996).
[CrossRef]

Mlejnek, M.

Moll, K. D.

K. D. Moll, A. K. 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.

Morandotti, R.

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Nonlinear optical beam interaction in waveguide arrays," Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

Müller, J. F.

C. Ell, J. F. Müller, K. El Sayed, and H. Haug, "Influence of many-body interactions on the excitonic optical Stark effect," Phys. Rev. Lett. 62, 304-307 (1989).
[CrossRef] [PubMed]

Mysyrowicz, A.

D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, "Coherent propagation and quantum beats of quadrupole polaritons in Cu2O," Phys. Rev. Lett. 67, 2343-2346 (1991).
[CrossRef] [PubMed]

Newell, A. C.

Nielsen, N. C.

Perel, V. I.

I. A. Merkulov and V. I. Perel, "Effects of electron-hole interaction on electro absorption in semiconductors," Phys. Lett. 45, 83-84 (1973).
[CrossRef]

Pertsch, T.

T. Pertsch, U. Peschel, and F. Lederer, "Discrete solitons in inhomogeneous waveguide arrays," Chaos 13, 774-753 (2003).
[CrossRef]

Peschel, U.

T. Pertsch, U. Peschel, and F. Lederer, "Discrete solitons in inhomogeneous waveguide arrays," Chaos 13, 774-753 (2003).
[CrossRef]

U. Bartuch, U. Peschel, Th. Gabler, R. Waldhäusl, and H.-H. Hörhold, "Experimental investigations and numerical simulations of spatial solitons in planar polymer waveguides," Opt. Commun. 134, 49-54 (1997).
[CrossRef]

Peyghambarian, N.

S. W. Koch, N. Peyghambarian, and M. Lindberg, "Transient and steady-state optical nonlinearities in semiconductors," J. Phys. C 21, 5229-5249 (1998).
[CrossRef]

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, "Propagation-induced escape from adiabatic following in a semiconductor," Phys. Rev. Lett. 69, 852-855 (1992).
[CrossRef] [PubMed]

Redfield, D.

J. D. Dow and D. Redfield, "Electroabsorption in semiconductors: the excitonic absorption edge," Phys. Rev. B 1, 3358-3371 (1970).
[CrossRef]

Sanpera, A.

Y. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
[CrossRef] [PubMed]

Schaarschmidt, M.

N. C. Nielsen, T. Höner zu Siederdissen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, and H. Giessen, "Phase evolution of solitonlike optical pulses during excitonic Rabi flopping in a semiconductor," Phys. Rev. Lett. 94, 057406 (2005).
[CrossRef] [PubMed]

T. Höner zu Siederdissen, N. C. Nielsen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, G. Khitrova, H. M. Gibbs, S. W. Koch, and H. Giessen, "Transition between different coherent light-matter interaction regimes analyzed by phase-resolved pulse propagation," Opt. Lett. 30, 1384-1386 (2005).
[CrossRef]

Shukla, P. K.

P. K. Shukla and B. Eliasson, "Localization of intense electromagnetic waves in a realtivistically hot plasma," Phys. Rev. Lett. 94, 065002 (2005).
[CrossRef] [PubMed]

Silberberg, Y.

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Nonlinear optical beam interaction in waveguide arrays," Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

Sokoloff, J. P.

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, "Propagation-induced escape from adiabatic following in a semiconductor," Phys. Rev. Lett. 69, 852-855 (1992).
[CrossRef] [PubMed]

Stegeman, G. I.

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Nonlinear optical beam interaction in waveguide arrays," Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

Stolz, H.

D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, "Coherent propagation and quantum beats of quadrupole polaritons in Cu2O," Phys. Rev. Lett. 67, 2343-2346 (1991).
[CrossRef] [PubMed]

Torner, L.

Y. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
[CrossRef] [PubMed]

Uebbing, B.

D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, "Coherent propagation and quantum beats of quadrupole polaritons in Cu2O," Phys. Rev. Lett. 67, 2343-2346 (1991).
[CrossRef] [PubMed]

Villeneuve, A.

von der Osten, W.

D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, "Coherent propagation and quantum beats of quadrupole polaritons in Cu2O," Phys. Rev. Lett. 67, 2343-2346 (1991).
[CrossRef] [PubMed]

Vysloukh, V. A.

Y. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
[CrossRef] [PubMed]

Waldhäusl, R.

U. Bartuch, U. Peschel, Th. Gabler, R. Waldhäusl, and H.-H. Hörhold, "Experimental investigations and numerical simulations of spatial solitons in planar polymer waveguides," Opt. Commun. 134, 49-54 (1997).
[CrossRef]

Wright, E. M.

M. Mlejnek, E. M. Wright, and J. V. Moloney, "Dynamic spatial replenishment of femtosecond pulses propagating in air," Opt. Lett. 23, 382-384 (1998).
[CrossRef]

G. G. Luther, A. C. Newell, J. V. Moloney, and E. M. Wright, "Short-pulse conical emission and spectral broadening in normally dispersive media," Opt. Lett. 19, 789-791 (1994).
[CrossRef] [PubMed]

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, "Propagation-induced escape from adiabatic following in a semiconductor," Phys. Rev. Lett. 69, 852-855 (1992).
[CrossRef] [PubMed]

Zelenina, A. S.

Y. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
[CrossRef] [PubMed]

Chaos (1)

T. Pertsch, U. Peschel, and F. Lederer, "Discrete solitons in inhomogeneous waveguide arrays," Chaos 13, 774-753 (2003).
[CrossRef]

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

J. Phys. C (1)

S. W. Koch, N. Peyghambarian, and M. Lindberg, "Transient and steady-state optical nonlinearities in semiconductors," J. Phys. C 21, 5229-5249 (1998).
[CrossRef]

Opt. Commun. (1)

U. Bartuch, U. Peschel, Th. Gabler, R. Waldhäusl, and H.-H. Hörhold, "Experimental investigations and numerical simulations of spatial solitons in planar polymer waveguides," Opt. Commun. 134, 49-54 (1997).
[CrossRef]

Opt. Lett. (5)

Phys. Lett. (1)

I. A. Merkulov and V. I. Perel, "Effects of electron-hole interaction on electro absorption in semiconductors," Phys. Lett. 45, 83-84 (1973).
[CrossRef]

Phys. Rev. A (1)

A. Knorr, R. Binder, M. Lindberg, and S. W. Koch, "Theoretical study of resonant ultrashort-pulse propagation in semconductors," Phys. Rev. A 46, 7179-7186 (1992).
[CrossRef] [PubMed]

Phys. Rev. B (3)

M. Lindberg and S. W. Kock, "Effective Bloch equations for semiconductors," Phys. Rev. B 38, 3342-3350 (1988).
[CrossRef]

J. D. Dow and D. Redfield, "Electroabsorption in semiconductors: the excitonic absorption edge," Phys. Rev. B 1, 3358-3371 (1970).
[CrossRef]

T. Mishina, "Forward and backward self-consistent approach to coherent-light propagation in stratified structures," Phys. Rev. B 54, 13630-13634 (1996).
[CrossRef]

Phys. Rev. Lett. (8)

N. C. Nielsen, T. Höner zu Siederdissen, J. Kuhl, M. Schaarschmidt, J. Förstner, A. Knorr, and H. Giessen, "Phase evolution of solitonlike optical pulses during excitonic Rabi flopping in a semiconductor," Phys. Rev. Lett. 94, 057406 (2005).
[CrossRef] [PubMed]

D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, "Coherent propagation and quantum beats of quadrupole polaritons in Cu2O," Phys. Rev. Lett. 67, 2343-2346 (1991).
[CrossRef] [PubMed]

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

C. Ell, J. F. Müller, K. El Sayed, and H. Haug, "Influence of many-body interactions on the excitonic optical Stark effect," Phys. Rev. Lett. 62, 304-307 (1989).
[CrossRef] [PubMed]

J. Meier, G. I. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Nonlinear optical beam interaction in waveguide arrays," Phys. Rev. Lett. 93, 093903 (2004).
[CrossRef] [PubMed]

Y. Kartashov, L.-C. Crasovan, A. S. Zelenina, V. A. Vysloukh, A. Sanpera, M. Lewenstein, and L. Torner, "Soliton eigenvalue control in optical lattices," Phys. Rev. Lett. 93, 143902 (2004).
[CrossRef] [PubMed]

P. K. Shukla and B. Eliasson, "Localization of intense electromagnetic waves in a realtivistically hot plasma," Phys. Rev. Lett. 94, 065002 (2005).
[CrossRef] [PubMed]

P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, "Propagation-induced escape from adiabatic following in a semiconductor," Phys. Rev. Lett. 69, 852-855 (1992).
[CrossRef] [PubMed]

Other (4)

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987).

G. P. Agrawal, Nonlinear Fiber Optics (Academic, 1989).

H. Haug and S. W. Koch, Quantum Theory of the Optical and Electronic Properties of Semiconductors, 3rd ed. (World Scientific, 1994).

dcv=0.3eVnm,epsir=12.7,omega0=2.309fs−1,mr=0.569m0,gamma0=0.55meV, α=1.05*10−7nm,β2=−0.002rmfs2/nm−1.

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 (7)

Fig. 1
Fig. 1

Absorption spectra and refractive index. The excitonic resonance of the SBE is reproduced by the OBE. The initial spectrum is well below the bandgap.

Fig. 2
Fig. 2

Nonlinear near-resonant propagation ( z = 1.3 cm ) at δ = Ω Δ 2 . Normalized field intensity: pulse compression and breakup into multiple pulse components.

Fig. 3
Fig. 3

Linear near-resonant propagation ( z = 1.3 cm ) . SBE and OBE lead to slight pulse reshaping. OBE and NLSE underestimate the pulse width due to the lack of continuum states.

Fig. 4
Fig. 4

NLSE, δ = Ω Δ 2 . (a) In the temporal domain, the pulse (solid curve) is symmetrically compressed with subsequent breakup into symmetric components. The phase (dotted curve) does not jump between the main components for long propagations. (b) Spectrum features two distinct symmetric spectral components.

Fig. 5
Fig. 5

OBE, δ = Ω Δ 1 . (a) Temporal compression (solid curve) including a simultaneous pulse splitting and a 1 π phase jump (dotted curve) between the first two main components. (b) Spectral splitting into two main asymmetric components corresponding to the two main temporal components (a third is barely visible).

Fig. 6
Fig. 6

SBE δ = Ω Δ 1 2 (a) Temporal compression (solid curve) due to SPM and breakup into two components for greater propagation distances. The phase (dotted curve) does not jump between the main components for long propagations, (b) Spectral splitting into two asymmetric components corresponding to the two temporal components. The asymmetry for long propagations is opposite in comparison to the OBE.

Fig. 7
Fig. 7

After nonlinear propagation (upper curves in Figs. 4, 5, 6). Field amplitude (solid curve), instantaneous frequency ω ( t ) = t φ ( t ) (bold curve), and linear chirp (dashed line) at central points of pulse components. The slope of the instantaneous frequency corresponds directly to the spectral width of the corresponding spectral component. The NLSE calculation shows a SPM-like characteristic, which is altered by memory effects in the OBE calculation. The SBE model features a mixed and overall flatter dynamics due to damping of memory effects by the interference of continuum states.

Equations (6)

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

i ξ E ̃ = i 2 α E ̃ + 1 2 β 2 η 2 E ̃ γ E ̃ 2 E ̃ ,
η p ̃ k = i Δ k p ̃ k + i Ω ̃ k ( 1 f k e f k h ) ,
η f k e h = 2 Im ( Ω ̃ k * p ̃ k ) .
η p ̃ 12 = i Δ p ̃ 12 + i Ω ̃ ( 1 f 11 f 22 ) ,
η f 11 22 = 2 Im ( Ω ̃ * p ̃ 12 ) ,
P = d ψ 1 s ( r = 0 ) 2 2 Re ( p ̃ 12 ) d ψ 1 s ( r = 0 ) 2 2 ( 1 2 Δ Ω ̃ + 1 16 Δ 3 Ω ̃ 3 ) .

Metrics