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: Chapter in Book/Report/Conference proceedingConference contribution

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)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsM. Osinski, H. Amano, P. Blood
Pages168-179
Number of pages12
Volume4986
DOIs
StatePublished - 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

Other

OtherPROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Physics and Simulation of Optoelectronic Devices XI
CountryUnited States
CitySan Jose, CA
Period1/27/031/31/03

Fingerprint

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

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

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Slavcheva, G. M., Arnold, J. M., & Ziolkowski, R. W. (2003). Dynamical model of two-dimensional self-induced-transparency-solitons and pattern formation in nonlinear optical waveguides and semiconductor microcavities. In M. Osinski, H. Amano, & P. Blood (Eds.), Proceedings of SPIE - The International Society for Optical Engineering (Vol. 4986, pp. 168-179) https://doi.org/10.1117/12.474318

Dynamical model of two-dimensional self-induced-transparency-solitons and pattern formation in nonlinear optical waveguides and semiconductor microcavities. / Slavcheva, Gabriela M.; Arnold, John M.; Ziolkowski, Richard W.

Proceedings of SPIE - The International Society for Optical Engineering. ed. / M. Osinski; H. Amano; P. Blood. Vol. 4986 2003. p. 168-179.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Slavcheva, GM, Arnold, JM & Ziolkowski, RW 2003, Dynamical model of two-dimensional self-induced-transparency-solitons and pattern formation in nonlinear optical waveguides and semiconductor microcavities. in M Osinski, H Amano & P Blood (eds), Proceedings of SPIE - The International Society for Optical Engineering. vol. 4986, pp. 168-179, PROCEEDINGS OF SPIE SPIE - The International Society for Optical Engineering: Physics and Simulation of Optoelectronic Devices XI, San Jose, CA, United States, 1/27/03. https://doi.org/10.1117/12.474318
Slavcheva GM, Arnold JM, Ziolkowski RW. Dynamical model of two-dimensional self-induced-transparency-solitons and pattern formation in nonlinear optical waveguides and semiconductor microcavities. In Osinski M, Amano H, Blood P, editors, Proceedings of SPIE - The International Society for Optical Engineering. Vol. 4986. 2003. p. 168-179 https://doi.org/10.1117/12.474318
Slavcheva, Gabriela M. ; Arnold, John M. ; Ziolkowski, Richard W. / Dynamical model of two-dimensional self-induced-transparency-solitons and pattern formation in nonlinear optical waveguides and semiconductor microcavities. Proceedings of SPIE - The International Society for Optical Engineering. editor / M. Osinski ; H. Amano ; P. Blood. Vol. 4986 2003. pp. 168-179
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