The contrast between defect solitons in parity–time symmetric superlattice and simple-lattice complex potentials

doi:10.1088/1674-1056/21/2/024212

Abstract The existence and stability of defect superlattice solitons in parity-time (PT) symmetric superlattice and simple-lattice complex potentials are reported. Compared with defect simple-lattice solitons in similar potentials, the defect soliton in superlattice has a wider stable range than that in simple-lattice. The solitons' power increases with increasing propagation constant. For the positive defect, the solitons are stable in the whole region where solitons exist in the semi-infinite gap. For the zero defect, the solitons are unstable at the edge of the band. For the negative defect, the solitons propagate with the shape of Y at low propagation constant and propagate stably at the large one.

Keywords: defect superlattice solitons parity-time symmetry

Received: 09 June 2011
Revised: 05 August 2011
Accepted manuscript online:

PACS:

42.81.Dp

(Propagation, scattering, and losses; solitons)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10804033 and 10674050), the Program for Innovative Research (Grant No. 06CXTD005), and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 200805740002).

Corresponding Authors: Hu Wei,huwei@scnu.edu.cn
E-mail: huwei@scnu.edu.cn

Cite this article:

Hu Su-Mei(胡素梅) and Hu Wei(胡巍) The contrast between defect solitons in parity–time symmetric superlattice and simple-lattice complex potentials 2012 Chin. Phys. B 21 024212

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The contrast between defect solitons in parity–time symmetric superlattice and simple-lattice complex potentials

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