Instabilities and solitons in nonlinear excitonic waveguides

Smyrnov, Oleksii A.; Biancalana, Fabio

doi:10.1063/1.3506107

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Instabilities and solitons in nonlinear excitonic waveguides

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Biancalana, Fabio
Biancalana Research Group, Research Groups, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Smyrnov, O. A., & Biancalana, F. (2010). Instabilities and solitons in nonlinear excitonic waveguides. In THIRD INTERNATIONAL WORKSHOP ON THEORETICAL AND COMPUTATIONAL NANOPHOTONICS - TACONA-PHOTONICS 2010 (pp. 151-153). 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA: AMER INST PHYSICS.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6B83-9

Abstract

The propagation of light in a single-mode micron-size waveguide made of semiconducting excitonic material has been studied both analytically and numerically. The light pulses, spectrally centered in the vicinity of the 1s Wannier exciton resonance, interact with the medium nonlinearly. This optical cubic nonlinearity is caused by the repulsive exciton-exciton interactions in the semiconductor. We demonstrate that a very strong, unconventional modulational instability takes place, which has not been reported before. After reducing the coupled ordinary differential equation for the medium polarization and Maxwell's equations for the light pulse to a single nonlinear Schrodinger equation, we are also able to explore the formation of solitary waves both inside and outside the polaritonic gap.