中国物理B ›› 2005, Vol. 14 ›› Issue (11): 2241-2245.doi: 10.1088/1009-1963/14/11/017

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Characteristics of local photonic state density in an infinite two-dimensional photonic crystal

周云松1, 王福合1, 王雪华2, 顾本源2   

  1. (1)Department of Physics, Capital Normal University, Beijing 100037, China; (2)Institute of Physics, Chinese Academy of Sciences, Beijing 100080, China
  • 收稿日期:2005-03-10 修回日期:2005-05-26 出版日期:2005-11-20 发布日期:2005-11-20
  • 基金资助:
    Project supported by National Key Basic Research Special Fund of China and by Natural Science Foundation of Beijing, China.

Characteristics of local photonic state density in an infinite two-dimensional photonic crystal

Zhou Yun-Song (周云松)a, Wang Xue-Hua (王雪华)b, Gu Ben-Yuan (顾本源)b, Wang Fu-He (王福合)a   

  1. a Department of Physics, Capital Normal University, Beijing 100037, China; b Institute of Physics, Chinese Academy of Sciences, Beijing 100080, China
  • Received:2005-03-10 Revised:2005-05-26 Online:2005-11-20 Published:2005-11-20
  • Supported by:
    Project supported by National Key Basic Research Special Fund of China and by Natural Science Foundation of Beijing, China.

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摘要： The local density of photonic states (LDPS) of an infinite two-dimensional (2D) photonic crystal (PC) composed of rotated square-pillars in a 2D square lattice is calculated in terms of the plane-wave expansion method in a combination with the point group theory. The calculation results show that the LDPS strongly depends on the spatial positions. The variations of the LDPS as functions of the radial coordinate and frequency exhibit ``mountain chain'' structures with sharp peaks. The LDPS with large value spans a finite area and falls abruptly down to small value at the position corresponding to the interfaces between two different refractive index materials. The larger/lower LDPS occurs inward the lower/larger dielectric-constant medium. This feature can be well interpreted by the continuity of electric-displacement vector at the interface. In the frequency range of the pseudo-PBG (photonic band gap), the LDPS keeps very low value over the whole Wiger--Seitz cell. It indicates that the spontaneous emission in 2D PCs cannot be prohibited completely, but it can be inhibited intensively when the resonate frequency falls into the pseudo-PBG.

关键词: local density of photonic states, two-dimensional photonic crystal, spontaneous emission

Abstract: The local density of photonic states (LDPS) of an infinite two-dimensional (2D) photonic crystal (PC) composed of rotated square-pillars in a 2D square lattice is calculated in terms of the plane-wave expansion method in a combination with the point group theory. The calculation results show that the LDPS strongly depends on the spatial positions. The variations of the LDPS as functions of the radial coordinate and frequency exhibit ``mountain chain'' structures with sharp peaks. The LDPS with large value spans a finite area and falls abruptly down to small value at the position corresponding to the interfaces between two different refractive index materials. The larger/lower LDPS occurs inward the lower/larger dielectric-constant medium. This feature can be well interpreted by the continuity of electric-displacement vector at the interface. In the frequency range of the pseudo-PBG (photonic band gap), the LDPS keeps very low value over the whole Wiger--Seitz cell. It indicates that the spontaneous emission in 2D PCs cannot be prohibited completely, but it can be inhibited intensively when the resonate frequency falls into the pseudo-PBG.

Key words: local density of photonic states, two-dimensional photonic crystal, spontaneous emission

中图分类号:  (Photonic bandgap materials)

  • 42.70.Qs
42.50.-p (Quantum optics)