Solitary waves in a nonlinear oppositely directed coupler

A. I. Maǐmistov; I. R. Gabitov; N. M. Litchinitser

doi:10.1134/s0030400x08020185

Solitary waves in a nonlinear oppositely directed coupler

A. I. Maǐmistov, I. R. Gabitov, N. M. Litchinitser

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31 Scopus citations

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.

Original language	English (US)
Pages (from-to)	253-257
Number of pages	5
Journal	Optics and Spectroscopy (English translation of Optika i Spektroskopiya)
Volume	104
Issue number	2
DOIs	https://doi.org/10.1134/s0030400x08020185
State	Published - Feb 2008

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics

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title = "Solitary waves in a nonlinear oppositely directed coupler",

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.",

author = "Maǐmistov, {A. I.} and Gabitov, {I. R.} and Litchinitser, {N. M.}",

note = "Funding Information: We thank A.M. Basharov and S.O. Elyutin for helpful discussions. A.I. Ma{\oe}mistov thanks the Department of Mathematics at the University of Arizona for support and hospitality in the course of this study. This work was supported in part by the Russian Foundation for Basic Research (project no. 06-02-16406), ARO-MURI (grant no. N50342-PH-MUR), ARO (grant no. W911NF-07-1-0343), NSF (grant no. DMS-050989), and Grant of Arizona State TRIF, proposition 301.",

year = "2008",

month = feb,

doi = "10.1134/s0030400x08020185",

language = "English (US)",

volume = "104",

pages = "253--257",

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AU - Maǐmistov, A. I.

AU - Gabitov, I. R.

AU - Litchinitser, N. M.

N1 - Funding Information: We thank A.M. Basharov and S.O. Elyutin for helpful discussions. A.I. Maœmistov thanks the Department of Mathematics at the University of Arizona for support and hospitality in the course of this study. This work was supported in part by the Russian Foundation for Basic Research (project no. 06-02-16406), ARO-MURI (grant no. N50342-PH-MUR), ARO (grant no. W911NF-07-1-0343), NSF (grant no. DMS-050989), and Grant of Arizona State TRIF, proposition 301.

PY - 2008/2

Y1 - 2008/2

N2 - 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.

AB - 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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Solitary waves in a nonlinear oppositely directed coupler

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