Ultrashort Pulse Lossless Propagation through a Degenerate Three-Level Medium in Nonlinear Optical Waveguides and Semiconductor Microcavities

Gabriela Slavcheva, John M. Arnold, Richard W Ziolkowski

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The authors develop and apply a novel group-theoretical approach for studying the coherent dynamics of ultrashort pulse propagation in nonlinear optical waveguides and passive semiconductor microresonators. The resonant nonlinearity is modeled by a degenerate three-level system of saturable absorbers in order to allow for a two-dimensional medium polarization. The resulting Maxwell-pseudospin equations are solved in the time domain using the finite-difference time-domain method. Conditions of onset of the self-induced transparency (SIT) regime of propagation are investigated. 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 a passive semiconductor microcavity filled with saturable absorbers.

Original languageEnglish (US)
Pages (from-to)929-938
Number of pages10
JournalIEEE Journal on Selected Topics in Quantum Electronics
Volume9
Issue number3
DOIs
StatePublished - May 2003
Externally publishedYes

Fingerprint

Saturable absorbers
Microcavities
Optical waveguides
Ultrashort pulses
Solitons
optical waveguides
Transparency
absorbers
solitary waves
Semiconductor materials
Planar waveguides
propagation
Finite difference time domain method
Maxwell equations
pulses
finite difference time domain method
Maxwell equation
nonlinearity
Polarization
cavities

Keywords

  • Finite-difference time-domain (FDTD) method
  • Light bullets
  • Maxwell-Bloch system
  • Multidimensional solitons
  • Resonant nonlinearities
  • Self-induced transparency
  • Semiconductor microcavities
  • Spatiotemporal dynamics

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Atomic and Molecular Physics, and Optics

Cite this

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title = "Ultrashort Pulse Lossless Propagation through a Degenerate Three-Level Medium in Nonlinear Optical Waveguides and Semiconductor Microcavities",
abstract = "The authors develop and apply a novel group-theoretical approach for studying the coherent dynamics of ultrashort pulse propagation in nonlinear optical waveguides and passive semiconductor microresonators. The resonant nonlinearity is modeled by a degenerate three-level system of saturable absorbers in order to allow for a two-dimensional medium polarization. The resulting Maxwell-pseudospin equations are solved in the time domain using the finite-difference time-domain method. Conditions of onset of the self-induced transparency (SIT) regime of propagation are investigated. 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 a passive semiconductor microcavity filled with saturable absorbers.",
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AU - Ziolkowski, Richard W

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N2 - The authors develop and apply a novel group-theoretical approach for studying the coherent dynamics of ultrashort pulse propagation in nonlinear optical waveguides and passive semiconductor microresonators. The resonant nonlinearity is modeled by a degenerate three-level system of saturable absorbers in order to allow for a two-dimensional medium polarization. The resulting Maxwell-pseudospin equations are solved in the time domain using the finite-difference time-domain method. Conditions of onset of the self-induced transparency (SIT) regime of propagation are investigated. 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 a passive semiconductor microcavity filled with saturable absorbers.

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