Volume 100, Number 5, December 2012
|Number of page(s)||5|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||07 December 2012|
Scattering of the discrete solitons on the -symmetric defects
1 Institute for Metals Superplasticity Problems, Russian Academy of Sciences - Ufa 450001, Russia
2 Nonlinear Physics Centre, Research School of Physics and Engineering, Australian National University Canberra ACT 0200, Australia
Received: 28 August 2012
Accepted: 17 November 2012
We study the propagation of linear waves and solitons in an array of optical waveguides with an embedded defect created by a pair of waveguides with gain and loss satisfying the so-called parity-time () symmetry condition. We demonstrate that in the case of small soliton amplitudes, the linear theory describes the scattering of solitons with a good accuracy. We find that the incident high-amplitude solitons can excite the mode localized at the -symmetric defect. We also show that by exciting the localized mode of a large amplitude, it is possible to perform phase-sensitive control of soliton scattering and amplification or damping of the localized mode.
PACS: 42.25.Bs – Wave propagation, transmission and absorption / 42.82.Et – Waveguides, couplers, and arrays
© EPLA, 2012
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