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Title: Scattering of linear and nonlinear waves in a waveguide array with a PT-symmetric defect

Abstract

We study the scattering of linear and nonlinear waves in a long waveguide array with a parity-time (PT)-symmetric defect created by two waveguides with balanced gain and loss. We present exact solutions for the scattering of linear waves on such a defect, and then demonstrate numerically that the linear theory can describe, with a good accuracy, the soliton scattering in the case of weak nonlinearity. We reveal that the reflected and transmitted linear and nonlinear waves can be amplified substantially after interaction with the PT-symmetric defect thus allowing an active control of the wave scattering in the array.

Authors:
;  [1]; ;  [2]
  1. Institute for Metals Superplasticity Problems, Russian Academy of Science, Ufa RU-450001 (Russian Federation)
  2. Nonlinear Physics Centre, Research School of Physics and Engineering,Australian National University, Canberra, ACT 0200 (Australia)
Publication Date:
OSTI Identifier:
22058792
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 1; 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:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EXACT SOLUTIONS; NONLINEAR PROBLEMS; SCATTERING; SYMMETRY; WAVEGUIDES

Citation Formats

Dmitriev, Sergey V., Suchkov, Sergey V., Sukhorukov, Andrey A., and Kivshar, Yuri S. Scattering of linear and nonlinear waves in a waveguide array with a PT-symmetric defect. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.013833.
Dmitriev, Sergey V., Suchkov, Sergey V., Sukhorukov, Andrey A., & Kivshar, Yuri S. Scattering of linear and nonlinear waves in a waveguide array with a PT-symmetric defect. United States. doi:10.1103/PHYSREVA.84.013833.
Dmitriev, Sergey V., Suchkov, Sergey V., Sukhorukov, Andrey A., and Kivshar, Yuri S. Fri . "Scattering of linear and nonlinear waves in a waveguide array with a PT-symmetric defect". United States. doi:10.1103/PHYSREVA.84.013833.
@article{osti_22058792,
title = {Scattering of linear and nonlinear waves in a waveguide array with a PT-symmetric defect},
author = {Dmitriev, Sergey V. and Suchkov, Sergey V. and Sukhorukov, Andrey A. and Kivshar, Yuri S.},
abstractNote = {We study the scattering of linear and nonlinear waves in a long waveguide array with a parity-time (PT)-symmetric defect created by two waveguides with balanced gain and loss. We present exact solutions for the scattering of linear waves on such a defect, and then demonstrate numerically that the linear theory can describe, with a good accuracy, the soliton scattering in the case of weak nonlinearity. We reveal that the reflected and transmitted linear and nonlinear waves can be amplified substantially after interaction with the PT-symmetric defect thus allowing an active control of the wave scattering in the array.},
doi = {10.1103/PHYSREVA.84.013833},
journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 84,
place = {United States},
year = {2011},
month = {7}
}