Spatial algebraic solitons at the Dirac point in optically induced nonlinear photonic lattices

Kang Xie, Allan D. Boardman, Qian Li, Zhiwei Shi, Haiming Jiang, Hongyan Xia, Zhijia Hu, Junxi Zhang, Wei Zhang, Qiuping Mao, Lei Hu, Tianyu Yang, Fei Wen, Erlei Wang

Research output: Contribution to journalArticlepeer-review


The discovery of a new type of soliton occurring in periodic systems is reported. This type of nonlinear excitation exists at a Dirac point of a photonic band structure, and features an oscillating tail that damps algebraically. Solitons in periodic systems are localized states traditionally supported by photonic bandgaps. Here, it is found that besides photonic bandgaps, a Dirac point in the band structure of triangular optical lattices can also sustain solitons. Apart from their theoretical impact within the soliton theory, they have many potential uses because such solitons are possible in both Kerr material and photorefractive crystals that possess self-focusing and self-defocusing nonlinearities. The findings enrich the soliton family and provide information for studies of nonlinear waves in many branches of physics.

Original languageEnglish
Pages (from-to)30349-30364
Number of pages16
JournalOptics Express
Issue number24
Publication statusPublished - 20 Nov 2017

Bibliographical note

© 2017 Optical Society of America under the terms of the OSA Open Access Publishing Agreement. An OSA-formatted open access journal article PDF may be governed by the OSA Open Access Publishing Agreement signed by the author and any applicable copyright laws. Authors and readers may use, reuse, and build upon the article, or use it for text or data mining without asking prior permission from the publisher or the Author(s), as long as the purpose is non-commercial and appropriate attribution is maintained.

Funding: National Natural Science Foundation of China (11574070, 11404087, 51771186); Fundamental Research Funds for the Central Universities of China; Postdoctoral Science Foundation (2015M571918, 2017T100442); The European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement (744817).


  • Spatial solitons
  • Subwavelength structures
  • nanostructures


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