中国物理B ›› 2010, Vol. 19 ›› Issue (6): 65203-065203.doi: 10.1088/1674-1056/19/6/065203

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The interaction of in-band and in-gap lattice soliton trains in optically induced two-dimensional photonic lattices

刘圣, 张鹏, 肖发俊, 甘雪涛, 赵建林   

  1. Shaanxi Key Laboratory of Optical Information Technology, School of Science, Northwestern Polytechnical University, Xi'an 710072, China;The Key Laboratory of Space Applied Physics and Chemistry, Ministry of Education, Xi'an 710072, China
  • 收稿日期:2009-10-16 出版日期:2010-06-15 发布日期:2010-06-15
  • 基金资助:
    Project supported by the Northwestern Polytechnical University (NPU) Foundation for Fundamental Research and the Doctorate Foundation of NPU (Grant No.~CX200914).

The interaction of in-band and in-gap lattice soliton trains in optically induced two-dimensional photonic lattices

Liu Sheng(刘圣), Zhang Peng(张鹏), Xiao Fa-Jun(肖发俊), Gan Xue-Tao(甘雪涛), and Zhao Jian-Lin(赵建林)   

  1. Shaanxi Key Laboratory of Optical Information Technology, School of Science, Northwestern Polytechnical University, Xi'an 710072, China;The Key Laboratory of Space Applied Physics and Chemistry, Ministry of Education, Xi'an 710072, China
  • Received:2009-10-16 Online:2010-06-15 Published:2010-06-15
  • Supported by:
    Project supported by the Northwestern Polytechnical University (NPU) Foundation for Fundamental Research and the Doctorate Foundation of NPU (Grant No.~CX200914).

摘要: We demonstrate the coherent interactions of lattice soliton trains, including in-band solitons (IBSs) and gap soliton trains (GSTs), in optically induced two-dimensional photonic lattices with self-defocusing nonlinearity. It is revealed that the \pi-staggered phase structures of the lattice soliton trains will lead to anomalous interactions. Solely by changing their initial separations, the transition between attractive and repulsive interaction forces or reversion of the energy transfer can be obtained. The `negative refraction' effect of the soliton trains on the interaction is also discussed. Moreover, two interacting IBSs can merge into one GST when attraction or energy transfer happens.

Abstract: We demonstrate the coherent interactions of lattice soliton trains, including in-band solitons (IBSs) and gap soliton trains (GSTs), in optically induced two-dimensional photonic lattices with self-defocusing nonlinearity. It is revealed that the $\pi$-staggered phase structures of the lattice soliton trains will lead to anomalous interactions. Solely by changing their initial separations, the transition between attractive and repulsive interaction forces or reversion of the energy transfer can be obtained. The `negative refraction' effect of the soliton trains on the interaction is also discussed. Moreover, two interacting IBSs can merge into one GST when attraction or energy transfer happens.

Key words: soliton interaction, in-band soliton, gap soliton train, photonic lattice

中图分类号:  (Optical solitons; nonlinear guided waves)

  • 42.65.Tg
42.70.Qs (Photonic bandgap materials)