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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 11 — Jun. 2, 2014
  • pp: 13927–13939

Discrete solitons and scattering of lattice waves in guiding arrays with a nonlinear PT -symmetric defect

Xiangyu Zhang, Jinglei Chai, Jiasheng Huang, Zhiqiang Chen, Yongyao Li, and Boris A. Malomed  »View Author Affiliations


Optics Express, Vol. 22, Issue 11, pp. 13927-13939 (2014)
http://dx.doi.org/10.1364/OE.22.013927


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Abstract

Discrete fundamental and dipole solitons are constructed, in an exact analytical form, in an array of linear waveguides with an embedded PT -symmetric dimer, which is composed of two nonlinear waveguides carrying equal gain and loss. Fundamental solitons in tightly knit lattices, as well as all dipole modes, exist above a finite threshold value of the total power. However, the threshold vanishes for fundamental solitons in loosely knit lattices. The stability of the discrete solitons is investigated analytically by means of the Vakhitov-Kolokolov (VK) criterion, and, in the full form, via the computation of eigenvalues for perturbation modes. Fundamental and dipole solitons tend to be stable at smaller and larger values of the total power (norm), respectively. The increase of the strength of the coupling between the two defect-forming sites leads to strong expansion of the stability areas. The scattering problem for linear lattice waves impinging upon the defect is considered too.

© 2014 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.3270) Nonlinear optics : Kerr effect
(190.6135) Nonlinear optics : Spatial solitons

ToC Category:
Nonlinear Optics

History
Original Manuscript: April 8, 2014
Revised Manuscript: May 22, 2014
Manuscript Accepted: May 23, 2014
Published: May 30, 2014

Citation
Xiangyu Zhang, Jinglei Chai, Jiasheng Huang, Zhiqiang Chen, Yongyao Li, and Boris A. Malomed, "Discrete solitons and scattering of lattice waves in guiding arrays with a nonlinear PT -symmetric defect," Opt. Express 22, 13927-13939 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-11-13927


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