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Spatial Beam Dynamics Mediated by Hybrid Nonlinearity

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Nonlinear Photonics and Novel Optical Phenomena

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 170))

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Abstract

We provide a brief overview of recent progresses on the study of a new type of nonlinearity, named hybrid nonlinearity: the coexistence of self-focusing and self-defocusing nonlinearities in the same material under identical conditions. Such hybrid nonlinearity is established in a nonconventionally biased photorefractive crystal, which offers enhanced anisotropy and nonlocality, leading to a variety of unusual nonlinear beam dynamics in both continuous and discrete regimes. In homogenous media, elliptical optical solitons, stabilization of nonlinear optical vortices, as well as orientation-induced transition between bright and dark solitons are demonstrated. In discrete media, hybrid nonlinearity enables the creation of an ionic-type photonic lattice with alternating positive and negative optical potentials, which in turn enables the reconfiguration of lattice structures and Brillouin zones for band-gap engineering and light manipulation. Moreover, a host of nonlinear discrete localized states mediated by such hybrid nonlinearity are uncovered, including elliptical discrete solitons and “saddle” solitons. The novel concept of hybrid nonlinearity opens a door for exploring spatial beam dynamics and related nonlinear phenomena in anisotropic nonlinear systems beyond optics.

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Acknowledgments

This work was supported by US National Science Foundation, the Air Force Office of Scientific Research, and by the NPU Foundation for Fundamental Research, the Doctorate Foundation of NPU, the 973 Program, the 111 Project, NSFC, and PCSIRT in China. We are indebted to many of our collaborators over the years including F. Xiao, X. Gan, Q. Liu, Y. Gao, X. Tan, D. Yang, X. Wang, and J. Yang. We thank A. Miller for proofreading the chapter.

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Authors and Affiliations

  1. The Key Laboratory of Space Applied Physics and Chemistry, Ministry of Education and Shaanxi Key Laboratory of Optical Information Technology, School of Science, Northwestern Polytechnical University, Xi’an, 710072, China

    Peng Zhang, Sheng Liu & Jianlin Zhao

  2. Department of Physics and Astronomy, San Francisco State University, San Francisco, 94132, CA, USA

    Peng Zhang, Yi Hu & Zhigang Chen

  3. The Key Laboratory of Weak-Light Nonlinear Photonics, Ministry of Education and TEDA Applied Physics School, Nankai University, Tianjin, 300457, China

    Cibo Lou, Yi Hu, Jingjun Xu & Zhigang Chen

  4. INRS-EMT, University of Quebec, 1650 Blvd. Lionel Boulet, Varennes, QC, Canada, J3X 1S2

    Yi Hu

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  1. Peng Zhang
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Correspondence to Peng Zhang .

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  1. , Physics & Astronomy, San Francisco State University, Holloway Ave 1600, San Francisco, 94132, USA

    Zhigang Chen

  2. INRS-EMT, Université du Québec, boul. Lionel-Boulet 1650, Varennes, J3X 1S2, Canada

    Roberto Morandotti

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Zhang, P. et al. (2012). Spatial Beam Dynamics Mediated by Hybrid Nonlinearity. In: Chen, Z., Morandotti, R. (eds) Nonlinear Photonics and Novel Optical Phenomena. Springer Series in Optical Sciences, vol 170. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3538-9_5

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