Solitary waves in a nonlinear oppositely directed coupler |
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Authors: | A. I. Maĭmistov I. R. Gabitov N. M. Litchinitser |
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Affiliation: | (1) Moscow State Engineering Physics Institute, Moscow, 115409, Russia;(2) Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, 119334, Russia;(3) Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA;(4) Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, Michigan 48109, USA |
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Abstract: | The propagation of pulses in the system of two tunnel-coupled optical waveguides from optically nonlinear materials one of which has a negative refractive index, while the other one, positive, is investigated theoretically. The propagation of nonlinear waves in this structure is studied based on the model of coupled modes. For linear waves, this pair of coupled waveguides behaves as a mirror resulting in the change of direction of the energy flow upon penetration of radiation from one waveguide to the other. The solutions to the system of nonlinear equations describing the stationary propagation of the solitary wave, the gap soliton, in a particular direction are found. This soliton is formed by the coupled pair of wave packets each localized in the corresponding waveguide. |
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