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Title: Discrete quadratic solitons with competing second-harmonic components

Abstract

We describe families of discrete solitons in quadratic waveguide arrays supported by competing cascaded nonlinear interactions between one fundamental and two second-harmonic modes. We characterize the existence, stability, and excitation dynamics of these solitons and show that their features may resemble those of solitons in saturable media. Our results also demonstrate that a power threshold may appear for soliton formation, leading to a suppression of beam self-focusing which explains recent experimental observations.

Authors:
;  [1];  [2]
  1. Institute of Applied Physics, Abbe Center of Photonics, Friedrich-Schiller-Universitaet Jena, Max-Wien-Platz 1, D-07743 Jena (Germany)
  2. Nonlinear Physics Center, Research School of Physics and Engineering, Australian National University, Canberra, 0200 ACT (Australia)
Publication Date:
OSTI Identifier:
22095479
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 5; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; EXCITATION; FOCUSING; NONLINEAR PROBLEMS; SOLITONS; STABILITY; WAVEGUIDES

Citation Formats

Setzpfandt, Frank, Pertsch, Thomas, and Sukhorukov, Andrey A. Discrete quadratic solitons with competing second-harmonic components. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.053843.
Setzpfandt, Frank, Pertsch, Thomas, & Sukhorukov, Andrey A. Discrete quadratic solitons with competing second-harmonic components. United States. https://doi.org/10.1103/PHYSREVA.84.053843
Setzpfandt, Frank, Pertsch, Thomas, and Sukhorukov, Andrey A. 2011. "Discrete quadratic solitons with competing second-harmonic components". United States. https://doi.org/10.1103/PHYSREVA.84.053843.
@article{osti_22095479,
title = {Discrete quadratic solitons with competing second-harmonic components},
author = {Setzpfandt, Frank and Pertsch, Thomas and Sukhorukov, Andrey A.},
abstractNote = {We describe families of discrete solitons in quadratic waveguide arrays supported by competing cascaded nonlinear interactions between one fundamental and two second-harmonic modes. We characterize the existence, stability, and excitation dynamics of these solitons and show that their features may resemble those of solitons in saturable media. Our results also demonstrate that a power threshold may appear for soliton formation, leading to a suppression of beam self-focusing which explains recent experimental observations.},
doi = {10.1103/PHYSREVA.84.053843},
url = {https://www.osti.gov/biblio/22095479}, journal = {Physical Review. A},
issn = {1050-2947},
number = 5,
volume = 84,
place = {United States},
year = {Tue Nov 15 00:00:00 EST 2011},
month = {Tue Nov 15 00:00:00 EST 2011}
}