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

Journal Article · Fri Jul 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.84.013833· OSTI ID:22058792

Dmitriev, Sergey V; Suchkov, Sergey V ^[1]; Sukhorukov, Andrey A; Kivshar, Yuri S ^[2]

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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)

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.

• OSTI ID: 22058792
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 84; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EXACT SOLUTIONS
NONLINEAR PROBLEMS
SCATTERING
SYMMETRY
WAVEGUIDES