Calculation of Guided Modes and Leaky Modes in Photonic Crystal Slabs

  • Published Date: July 31, 2004
  • The scattering matrix S describing photonic crystal slabs is formulated. A new method is introduced to solve the eigenfrequency ω for a given Bloch wave vector K from the equation det S-1 ( ω ,K)=0. Using this method, we can obtain not only guided modes but also leaky modes in photonic crystal slabs with a higher-frequency resolution than that of the FDTD method.

  • Article Text

  • Related Articles

    [1]LI Cheng-Guo, GAO Yong-Hao, XU Xing-Sheng. Angular Tolerance Enhancement in Guided-Mode Resonance Filters with a Photonic Crystal Slab [J]. Chin. Phys. Lett., 2012, 29(3): 034202. doi: 10.1088/0256-307X/29/3/034202
    [2]MA Jian-Yong, FAN Yong-Tao. Guided Mode Resonance Transmission Filters Working at the Intersection Region of the First and Second Leaky Modes [J]. Chin. Phys. Lett., 2012, 29(2): 027804. doi: 10.1088/0256-307X/29/2/027804
    [3]YAO Lei, LOU Shu-Qin, JIAN Shui-Sheng. The Second Order Guided Modes Based on Photonic Bandgap Effects in Air/Glass Photonic Crystal Fibers [J]. Chin. Phys. Lett., 2009, 26(12): 124212. doi: 10.1088/0256-307X/26/12/124212
    [4]YUAN Jin-Hui, YU Chong-Xiu, SANG Xin-Zhu, LI Wen-Jing, ZHOU Gui-Yao, LI Shu-Guang, HOU Lan-Tian. Investigation on Guided-Mode Characteristics of Hollow-Core Photonic Crystal Fibre at Near-Infrared Wavelengths [J]. Chin. Phys. Lett., 2009, 26(3): 034211. doi: 10.1088/0256-307X/26/3/034211
    [5]XIONG Zhi-Gang, LI Zhi-Yuan, ZHANG Dao-Zhong. Influence of Dielectric Loss on Quality Factors of Photonic Crystal Microcavity Modes [J]. Chin. Phys. Lett., 2008, 25(9): 3292-3295.
    [6]XIONG Zhi-Gang, LI Zhi-Yuan, ZHANG Dao-Zhong. TM-like and TE-like Modes Coupling in a Two-Dimensional Photonic Crystal Slab Composed of Truncated Cone Silicon Rods [J]. Chin. Phys. Lett., 2008, 25(6): 2089-2092.
    [7]WANG Qiong, YAN Chang-Chun, ZHANG Ling-Ling, CUI Yi-Ping. Independent Modulation of Omnidirectional Defect Modes in Single-Negative Materials Photonic Crystal with Multiple Defects [J]. Chin. Phys. Lett., 2008, 25(4): 1313-1316.
    [8]LIU Ken. Phase Effect on Guided Resonance in Photonic Crystal Slabs [J]. Chin. Phys. Lett., 2005, 22(9): 2294-2297.
    [9]XIAO San-Shui, HE Sai-Ling, ZHUANG Fei. Guided Modes in a Two-Dimensional Photonic Crystal WaveguideConsisting of Nearly-Free-Electron Metals [J]. Chin. Phys. Lett., 2001, 18(10): 1363-1365.
    [10]CAO Zhuang-qi, QIU Lin-lin, SHEN Qi-shun, DOU Xiao-ming, CHEN Ying-li. Simplified Analysis for Leaky Modes in Planar Optical Waveguides [J]. Chin. Phys. Lett., 1999, 16(6): 413-414.

Catalog

    Article views (0) PDF downloads (991) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return