中国物理B ›› 2013, Vol. 22 ›› Issue (10): 104211-104211.doi: 10.1088/1674-1056/22/10/104211

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Characteristics of photonic bands generated by quadrangular multiconnected networks

罗瑞芳a, 杨湘波a b, 卢剑a, 刘承宜b   

  1. a Key Laboratory of Laser Life Science and Institute of Laser Life Science of Ministry of Education, College of Biophotonics, South China Normal University, Guangzhou 510631, China;
    b School of Physical Education and Sports Science, South China Normal University, Guangzhou 510006, China
  • 收稿日期:2013-03-13 修回日期:2013-04-02 出版日期:2013-08-30 发布日期:2013-08-30
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10974061).

Characteristics of photonic bands generated by quadrangular multiconnected networks

Luo Rui-Fang (罗瑞芳)a, Yang Xiang-Bo (杨湘波)a b, Lu Jian (卢剑)a, Liu Timon Cheng-Yi (刘承宜)b   

  1. a Key Laboratory of Laser Life Science and Institute of Laser Life Science of Ministry of Education, College of Biophotonics, South China Normal University, Guangzhou 510631, China;
    b School of Physical Education and Sports Science, South China Normal University, Guangzhou 510006, China
  • Received:2013-03-13 Revised:2013-04-02 Online:2013-08-30 Published:2013-08-30
  • Contact: Yang Xiang-Bo E-mail:xbyang@scnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10974061).

摘要: In this paper, by means of the network equation and generalized dimensionless Floquet-Bloch theorem, we study the influences of the number of connected waveguide segments (NCWS) between adjacent nodes and the matching ratio of waveguide length (MRWL) on the photonic bands generated by quadrangular multiconnected networks (QMNs), and obtain a series of formulae. It is found that multicombining networks (MCNs) and repetitive combining networks (RCNs) are equivalent to each other and they can all be simplified into the simplest fundamental combining systems. It would be useful for adjusting the number, widths, and positions of photonic bands, and would possess potential applications for the designing of all-optical devices and photonic network devices.

关键词: photonic band gap, waveguide network, multiconnected network

Abstract: In this paper, by means of the network equation and generalized dimensionless Floquet-Bloch theorem, we study the influences of the number of connected waveguide segments (NCWS) between adjacent nodes and the matching ratio of waveguide length (MRWL) on the photonic bands generated by quadrangular multiconnected networks (QMNs), and obtain a series of formulae. It is found that multicombining networks (MCNs) and repetitive combining networks (RCNs) are equivalent to each other and they can all be simplified into the simplest fundamental combining systems. It would be useful for adjusting the number, widths, and positions of photonic bands, and would possess potential applications for the designing of all-optical devices and photonic network devices.

Key words: photonic band gap, waveguide network, multiconnected network

中图分类号:  (Photonic bandgap materials)

  • 42.70.Qs
42.79.Gn (Optical waveguides and couplers) 41.20.Jb (Electromagnetic wave propagation; radiowave propagation)