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

Jaroslaw E. Prilepsky; Stanislav A. Derevyanko; Sergey A. Gredeskul

doi:10.1109/NLP.2011.6102665

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

Jaroslaw E. Prilepsky^*, Stanislav A. Derevyanko, Sergey A. Gredeskul

^*Corresponding author for this work

Aston University

Ben-Gurion University of the Negev

Research output: Chapter in Book/Published conference output › Conference publication

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	English
Title of host publication	Workshop proceedings - International Workshop on Nonlinear Photonics, NLP 2011
Editors	I.A. Sukhoivanov, O.V. Shulika
Publisher	IEEE
Number of pages	3
ISBN (Electronic)	978-1-4577-0479-6
ISBN (Print)	978-1-4577-0477-2
DOIs	https://doi.org/10.1109/NLP.2011.6102665
Publication status	Published - Dec 2011
Event	2011 International Workshop on Nonlinear Photonics - Kharkov, Ukraine Duration: 6 Sept 2011 → 8 Sept 2011

Conference

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

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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 = "Prilepsky, {Jaroslaw E.} and Derevyanko, {Stanislav A.} and Gredeskul, {Sergey A.}",

year = "2011",

month = dec,

doi = "10.1109/NLP.2011.6102665",

language = "English",

isbn = "978-1-4577-0477-2 ",

editor = "I.A. Sukhoivanov and O.V. Shulika",

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

publisher = "IEEE",

address = "United States",

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

}

Prilepsky, JE, Derevyanko, SA & Gredeskul, SA 2011, Nonlinear refraction in optical lattices induced by the wave-soliton interference. in IA Sukhoivanov & OV Shulika (eds), Workshop proceedings - International Workshop on Nonlinear Photonics, NLP 2011. IEEE, 2011 International Workshop on Nonlinear Photonics, Kharkov, Ukraine, 6/09/11. https://doi.org/10.1109/NLP.2011.6102665

Nonlinear refraction in optical lattices induced by the wave-soliton interference. / Prilepsky, Jaroslaw E.; Derevyanko, Stanislav A.; Gredeskul, Sergey A.
Workshop proceedings - International Workshop on Nonlinear Photonics, NLP 2011. ed. / I.A. Sukhoivanov; O.V. Shulika. IEEE, 2011.

Research output: Chapter in Book/Published conference output › Conference publication

TY - GEN

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

AU - Prilepsky, Jaroslaw E.

AU - Derevyanko, Stanislav A.

AU - Gredeskul, Sergey A.

PY - 2011/12

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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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SN - 978-1-4577-0477-2

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

A2 - Sukhoivanov, I.A.

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PB - IEEE

T2 - 2011 International Workshop on Nonlinear Photonics

Y2 - 6 September 2011 through 8 September 2011

ER -

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

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