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2008 | 6 | 3 | 619-627
Article title

Discreteness in time

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EN
Abstracts
EN
In this paper we discuss the joint propagation of a periodically modulated field and a pulse of different frequency in an optical fiber. The pulse experiences the action of an index lattice induced via cross-phase modulation by the periodic field. We predict effects of discreteness to show up both in the temporal and in the spatial domain. For large walk-off between the two fields one should observe Bloch oscillations in frequency space, where discrete diffraction is expected to occur for equal velocities of both waves.
Contributors
author
  • Institute of Optics, Information and Photonics (Max Planck Research Group), University of Erlangen-Nuremberg, Günther-Scharowsky-Str. 1/Bau 24, 91058, Erlangen, Germany, upeschel@optik.uni-erlangen.de
  • Institute of Optics, Information and Photonics (Max Planck Research Group), University of Erlangen-Nuremberg, Günther-Scharowsky-Str. 1/Bau 24, 91058, Erlangen, Germany
  • Institute of Optics, Information and Photonics (Max Planck Research Group), University of Erlangen-Nuremberg, Günther-Scharowsky-Str. 1/Bau 24, 91058, Erlangen, Germany
References
  • [1] D.N. Christodoulides, F. Lederer, Y. Silberberg, Nature 424, 817 (2003) http://dx.doi.org/10.1038/nature01936[Crossref]
  • [2] N.K. Efremidis, S. Sears, D.N. Christodoulides, J.W. Fleischer, M. Segev, Phys. Rev. E 66, 046602 (2006) http://dx.doi.org/10.1103/PhysRevE.66.046602[Crossref]
  • [3] J.W. Fleischer, M. Segev, N.K. Efremidis, D.N. Christodoulides, Nature 422, 147 (2003) http://dx.doi.org/10.1038/nature01452[Crossref]
  • [4] G.P. Agrawal, Nonlinear fiber optics (Academic Press, 4th ed, 2007)
  • [5] R. Morandotti, U. Peschel, J.S. Aitchison, H.S. Eisenberg, Y. Silberberg, Phys. Rev. Lett. 83, 2726 (1999) http://dx.doi.org/10.1103/PhysRevLett.83.2726[Crossref]
  • [6] T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, F. Lederer, Phys. Rev. Lett. 88, 093901 (2002) http://dx.doi.org/10.1103/PhysRevLett.88.093901[Crossref]
  • [7] U. Peschel, T. Pertsch, F. Lederer, Opt. Lett. 23, 1701 (1998) http://dx.doi.org/10.1364/OL.23.001701[Crossref]
  • [8] R. Morandotti, U. Peschel, J.S. Aitchison, H.S. Eisenberg, Y. Silberberg, Phys. Rev. Lett. 83, 4756 (1999) http://dx.doi.org/10.1103/PhysRevLett.83.4756[Crossref]
  • [9] T. Pertsch, P. Dannberg, W. Elflein, A. Bräuer, F. Lederer, Phys. Rev. Lett. 83, 4752 (1999) http://dx.doi.org/10.1103/PhysRevLett.83.4752[Crossref]
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_s11534-008-0095-0
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