Dynamical model of two-dimensional self-induced-transparency-solitons and pattern formation in nonlinear optical waveguides and semiconductor microcavities

Gabriela M. Slavcheva, John M. Arnold, Richard W. Ziolkowski

Research output: Contribution to journalConference article

Abstract

We propose a novel multidimensional dynamical model for description of the coherent interactions of ultrashort high-intensity optical pulses with the resonant nonlinearities in planar optical waveguides and semiconductor microresonators. The model is based on the self-consistent solution of the full-wave vectorial Maxwell's equations coupled via polarization source terms to the evolution equations of a discrete multilevel quantum system. The latter are derived employing a group-theoretical approach exploiting symmetric properties of the system Hamiltonian. In particular, the resonant nonlinearity is modelled by a degenerate three-level system of saturable absorbers in order to account for the two-dimensional medium polarization. The resulting Maxwell-pseudospin equations are solved in the time domain using the finite-difference time-domain (FDTD) method. The model is applied for studying conditions of onset of self-induced transparency (SIT) lossless regime of propagation. Numerical evidence of multidimensional solitons localized both in space and in time is given for the planar optical waveguides. Pattern formation and cavity SIT-soliton formation are demonstrated for the special case of a passive semiconductor microcavity filled with saturable absorbers.

Original languageEnglish (US)
Pages (from-to)168-179
Number of pages12
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume4986
DOIs
StatePublished - Nov 27 2003
EventPROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Physics and Simulation of Optoelectronic Devices XI - San Jose, CA, United States
Duration: Jan 27 2003Jan 31 2003

Keywords

  • Finite-difference time-domain method
  • Light bullets
  • Maxwell-Bloch system
  • Multidimensional solitons
  • Resonant nonlinearities
  • Self-induced transparency
  • Semiconductor microcavities
  • Spatiotemporal dynamics
  • Ultrashort optical pulses

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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