OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 11 — Nov. 1, 2006
  • pp: 2342–2347

Impact of off-resonant nonlinearities on pulse propagation in dielectric bulk material: limits of the nonlinear Schrödinger equation

Martin Schaarschmidt and Andreas Knorr  »View Author Affiliations

JOSA B, Vol. 23, Issue 11, pp. 2342-2347 (2006)

View Full Text Article

Enhanced HTML    Acrobat PDF (118 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



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

OCIS Codes
(190.5970) Nonlinear optics : Semiconductor nonlinear optics including MQW
(190.7110) Nonlinear optics : Ultrafast nonlinear optics

ToC Category:
Nonlinear Optics

Original Manuscript: March 24, 2006
Revised Manuscript: June 29, 2006
Manuscript Accepted: July 3, 2006

Martin Schaarschmidt and Andreas Knorr, "Impact of off-resonant nonlinearities on pulse propagation in dielectric bulk material: limits of the nonlinear Schrödinger equation," J. Opt. Soc. Am. B 23, 2342-2347 (2006)

Sort:  Author  |  Year  |  Journal  |  Reset  


  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]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited