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.
Received: 10 March 2005
Revised: 26 May 2005
Accepted manuscript online:
Fund: Project supported by National Key Basic Research Special Fund of China and by Natural Science Foundation of Beijing, China.
Cite this article:
Zhou Yun-Song (周云松), Wang Xue-Hua (王雪华), Gu Ben-Yuan (顾本源), Wang Fu-He (王福合) Characteristics of local photonic state density in an infinite two-dimensional photonic crystal 2005 Chinese Physics 14 2241
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