Gap solitons in parity–time complex superlattice with dual periods

doi:10.1088/1674-1056/23/6/064208

Abstract A theory is presented to investigate the existence and propagation stability of gap solitons in a parity-time (PT) complex superlattice with dual periods. In this superlattice, the real and imaginary parts are both in the form of superlattices with dual periods. In the self-focusing nonlinearity, PT solitons can exist in the semi-infinite gap. However, only those gap solitons with low powers can propagate stably, whereas the high-power solitons present periodic oscillation and simultaneously suffer energy decay. In the self-defocusing nonlinearity, PT solitons only exist in the first gap and all these solitons are stable.

Keywords: spatial soliton parity-time soliton gap soliton superlattice

Received: 11 October 2013
Revised: 07 November 2013
Accepted manuscript online:

PACS:	42.65.Tg	(Optical solitons; nonlinear guided waves)
	42.65.Jx	(Beam trapping, self-focusing and defocusing; self-phase modulation)
	42.65.Wi	(Nonlinear waveguides)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61308019) and the Foundation for Distinguished Young Talents in Higher Education of Guangdong Province, China (Grant No. Yq2013157).

Corresponding Authors: Wang Hong-Cheng
E-mail: hc_wang@126.com

Cite this article:

Wang Hong-Cheng (王红成), Ling Dong-Xiong (凌东雄), Zhang Shao-Qiang (张绍强), Zhu Xing (朱兴), He Ying-Ji (何影记) Gap solitons in parity–time complex superlattice with dual periods 2014 Chin. Phys. B 23 064208

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Gap solitons in parity–time complex superlattice with dual periods

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