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基于布里渊区谱的二维光子晶格线性缺陷模式分析

刘圣 张鹏 肖发俊 甘雪涛 赵建林

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基于布里渊区谱的二维光子晶格线性缺陷模式分析

刘圣, 张鹏, 肖发俊, 甘雪涛, 赵建林

Analysis of linear defect modes in two-dimensional photonic lattices by employing Brillouin zone spectroscopy

Liu Sheng, Zhang Peng, Xiao Fa-Jun, Gan Xue-Tao, Zhao Jian-Lin
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  • 结合均匀光子晶格的衍射关系和晶格中正负缺陷的布里渊区谱特性,探讨了光诱导二维光子晶格中线性缺陷模式的形成条件,对布里渊区中各点的缺陷模式进行了模拟分析,并得到了光子带隙结构中“嵌入点”X1点的正、负缺陷模式.结果表明:对于二维缺陷,只有当衍射关系曲面中沿两个正交的横向波矢方向同时为正常(反常)衍射的区域才能存在正(负)缺陷模式;而对于一维缺陷,只要在一个横向波矢方向上存在正常(反常)衍射的区域就可以支持正(负)缺陷模式,因此在某些特殊点处,正和负的缺陷模式可以同时存在.X1点正缺陷模式的存在预示着自聚焦非线性同样可以支持带内孤子.研究结果有助于对光子晶格中晶格孤子(特别是带内孤子)的理解和进一步研究.
    The formation of defect modes in optically induced photonic lattices with one_and two_dimensional defects are analyzed by combining the diffraction relationship of uniform lattices and the Brillouin zone spectra. The defect modes associated with different high symmetry points in Brillouin zone are obtained, including the positive and negative defect modes bifurcating from the X1 point, which is “embedded” in the photonic bandgap. It is revealed that, for two_dimensional defects, the positive (negative) defect modes exist only in the regions corresponding to normal (anomalous) diffraction along both principal axes in k-space, whereas for one_dimensional defects, the positive (negative) defect modes can exist in the regions corresponding to normal (anomalous) diffraction along a single direction. The positive defect mode at X1 point predicates the existence of in-band solitons under self-focusing nonlinearity. The conclusions obtained above could be helpful to understanding the formation of lattice solitons (especially in_band solitons) in photonic lattices.
    • 基金项目: 西北工业大学基础研究基金和西北工业大学博士论文创新基金(批准号:CX200514)资助的课题.
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  • 文章访问数:  6828
  • PDF下载量:  991
  • 被引次数: 0
出版历程
  • 收稿日期:  2008-11-11
  • 修回日期:  2008-12-16
  • 刊出日期:  2009-04-05

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