Nonlinear refraction in optical lattices induced by the wave-soliton interference

Yaroslav E. Prylepskiy; Stanislav A. Derevyanko; Sergey A. Gredeskul

doi:10.1109/NLP.2011.6102665

Nonlinear refraction in optical lattices induced by the wave-soliton interference

Yaroslav E. Prylepskiy, Stanislav A. Derevyanko, Sergey A. Gredeskul

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In the framework of 1D Nonlinear Shrödinger Equation (NSE) we demonstrate how one can control the refractive angle of a fundamental soliton beam passing through an optical lattice, by adjusting either the shape of an individual waveguide or the relative positions of waveguides. Even for a single scatterer its shape has a nontrivial effect on the refraction direction. In the case of shallow modulation we provide an analytical description based of the effect on the soliton perturbation theory. When one considers a lattice of scatterers, there emanates an additional form factor in the radiation density (RD) of emitted waves referring to the wave-soliton beating and interference inside the lattice. We concentrate on the results for two cases: periodic lattice and disordered lattice of scattering shapes.

Original language	American English
Title of host publication	Workshop Proceedings - International Workshop on Nonlinear Photonics, NLP 2011
DOIs	https://doi.org/10.1109/NLP.2011.6102665
State	Published - 1 Dec 2011
Externally published	Yes
Event	2011 International Workshop on Nonlinear Photonics, NLP 2011 - Kharkov, Ukraine Duration: 6 Sep 2011 → 8 Sep 2011

Publication series

Name	Workshop Proceedings - International Workshop on Nonlinear Photonics, NLP 2011

Conference

Conference	2011 International Workshop on Nonlinear Photonics, NLP 2011
Country/Territory	Ukraine
City	Kharkov
Period	6/09/11 → 8/09/11

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

Access to Document

10.1109/NLP.2011.6102665

Cite this

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title = "Nonlinear refraction in optical lattices induced by the wave-soliton interference",

abstract = "In the framework of 1D Nonlinear Shr{\"o}dinger Equation (NSE) we demonstrate how one can control the refractive angle of a fundamental soliton beam passing through an optical lattice, by adjusting either the shape of an individual waveguide or the relative positions of waveguides. Even for a single scatterer its shape has a nontrivial effect on the refraction direction. In the case of shallow modulation we provide an analytical description based of the effect on the soliton perturbation theory. When one considers a lattice of scatterers, there emanates an additional form factor in the radiation density (RD) of emitted waves referring to the wave-soliton beating and interference inside the lattice. We concentrate on the results for two cases: periodic lattice and disordered lattice of scattering shapes.",

author = "Prylepskiy, {Yaroslav E.} and Derevyanko, {Stanislav A.} and Gredeskul, {Sergey A.}",

year = "2011",

month = dec,

day = "1",

doi = "10.1109/NLP.2011.6102665",

language = "American English",

isbn = "9781457704796",

series = "Workshop Proceedings - International Workshop on Nonlinear Photonics, NLP 2011",

booktitle = "Workshop Proceedings - International Workshop on Nonlinear Photonics, NLP 2011",

note = "2011 International Workshop on Nonlinear Photonics, NLP 2011 ; Conference date: 06-09-2011 Through 08-09-2011",

}

Prylepskiy, YE, Derevyanko, SA & Gredeskul, SA 2011, Nonlinear refraction in optical lattices induced by the wave-soliton interference. in Workshop Proceedings - International Workshop on Nonlinear Photonics, NLP 2011., 6102665, Workshop Proceedings - International Workshop on Nonlinear Photonics, NLP 2011, 2011 International Workshop on Nonlinear Photonics, NLP 2011, Kharkov, Ukraine, 6/09/11. https://doi.org/10.1109/NLP.2011.6102665

Nonlinear refraction in optical lattices induced by the wave-soliton interference. / Prylepskiy, Yaroslav E.; Derevyanko, Stanislav A.; Gredeskul, Sergey A.
Workshop Proceedings - International Workshop on Nonlinear Photonics, NLP 2011. 2011. 6102665 (Workshop Proceedings - International Workshop on Nonlinear Photonics, NLP 2011).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Nonlinear refraction in optical lattices induced by the wave-soliton interference

AU - Prylepskiy, Yaroslav E.

AU - Derevyanko, Stanislav A.

AU - Gredeskul, Sergey A.

PY - 2011/12/1

Y1 - 2011/12/1

N2 - In the framework of 1D Nonlinear Shrödinger Equation (NSE) we demonstrate how one can control the refractive angle of a fundamental soliton beam passing through an optical lattice, by adjusting either the shape of an individual waveguide or the relative positions of waveguides. Even for a single scatterer its shape has a nontrivial effect on the refraction direction. In the case of shallow modulation we provide an analytical description based of the effect on the soliton perturbation theory. When one considers a lattice of scatterers, there emanates an additional form factor in the radiation density (RD) of emitted waves referring to the wave-soliton beating and interference inside the lattice. We concentrate on the results for two cases: periodic lattice and disordered lattice of scattering shapes.

AB - In the framework of 1D Nonlinear Shrödinger Equation (NSE) we demonstrate how one can control the refractive angle of a fundamental soliton beam passing through an optical lattice, by adjusting either the shape of an individual waveguide or the relative positions of waveguides. Even for a single scatterer its shape has a nontrivial effect on the refraction direction. In the case of shallow modulation we provide an analytical description based of the effect on the soliton perturbation theory. When one considers a lattice of scatterers, there emanates an additional form factor in the radiation density (RD) of emitted waves referring to the wave-soliton beating and interference inside the lattice. We concentrate on the results for two cases: periodic lattice and disordered lattice of scattering shapes.

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DO - 10.1109/NLP.2011.6102665

M3 - Conference contribution

SN - 9781457704796

T3 - Workshop Proceedings - International Workshop on Nonlinear Photonics, NLP 2011

BT - Workshop Proceedings - International Workshop on Nonlinear Photonics, NLP 2011

T2 - 2011 International Workshop on Nonlinear Photonics, NLP 2011

Y2 - 6 September 2011 through 8 September 2011

ER -

Nonlinear refraction in optical lattices induced by the wave-soliton interference

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