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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publicationWorkshop proceedings - International Workshop on Nonlinear Photonics, NLP 2011
EditorsI.A. Sukhoivanov, O.V. Shulika
PublisherIEEE
Number of pages3
ISBN (Electronic)978-1-4577-0479-6
ISBN (Print)978-1-4577-0477-2
DOIs
Publication statusPublished - Dec 2011
Event2011 International Workshop on Nonlinear Photonics - Kharkov, Ukraine
Duration: 6 Sep 20118 Sep 2011

Conference

Conference2011 International Workshop on Nonlinear Photonics
Abbreviated titleNLP 2011
CountryUkraine
CityKharkov
Period6/09/118/09/11

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refraction
solitary waves
interference
scattering
waveguides
nonlinear equations
form factors
perturbation theory
adjusting
modulation
radiation

Cite this

Prilepsky, J. E., Derevyanko, S. A., & Gredeskul, S. A. (2011). Nonlinear refraction in optical lattices induced by the wave-soliton interference. In I. A. Sukhoivanov, & O. V. Shulika (Eds.), Workshop proceedings - International Workshop on Nonlinear Photonics, NLP 2011 IEEE. https://doi.org/10.1109/NLP.2011.6102665
Prilepsky, Jaroslaw E. ; Derevyanko, Stanislav A. ; Gredeskul, Sergey A. / Nonlinear refraction in optical lattices induced by the wave-soliton interference. Workshop proceedings - International Workshop on Nonlinear Photonics, NLP 2011. editor / I.A. Sukhoivanov ; O.V. Shulika. IEEE, 2011.
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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.",
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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/Report/Conference proceedingConference contribution

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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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Prilepsky JE, Derevyanko SA, Gredeskul SA. Nonlinear refraction in optical lattices induced by the wave-soliton interference. In Sukhoivanov IA, Shulika OV, editors, Workshop proceedings - International Workshop on Nonlinear Photonics, NLP 2011. IEEE. 2011 https://doi.org/10.1109/NLP.2011.6102665