Pavarini E, Andreani L C
Istituto Nazionale per la Fisica della Materia and Dipartimento di Fisica Alessandro Volta, Università di Pavia, Via Bassi 6, I-27100 Pavia, Italy.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Sep;66(3 Pt 2B):036602. doi: 10.1103/PhysRevE.66.036602. Epub 2002 Sep 4.
The photonic band dispersion and density of states (DOS) are calculated for the three-dimensional (3D) hexagonal structure corresponding to a distributed Bragg reflector patterned with a 2D triangular lattice of circular holes. Results for the Si/SiO(2) and GaAs/Al(x)Ga(1-x)As systems determine the optimal parameters for which a gap in the 2D plane occurs and overlaps the 1D gap of the multilayer. The DOS is considerably reduced in correspondence with the overlap of 2D and 1D gaps. Also, the local density of states (i.e., the DOS weighted with the squared electric field at a given point) has strong variations depending on the position. Both results imply substantial changes of spontaneous emission rates and patterns for a local emitter embedded in the structure and make this system attractive for the fabrication of a 3D photonic crystal with controlled radiative properties.
针对与具有二维圆形孔三角晶格图案化的分布式布拉格反射器相对应的三维（3D）六边形结构，计算了光子带色散和态密度（DOS）。Si/SiO₂ 和 GaAs/AlₓGa₁₋ₓAs 系统的结果确定了二维平面中出现能隙并与多层的一维能隙重叠的最佳参数。与二维和一维能隙的重叠相对应，态密度大幅降低。此外，局域态密度（即在给定点处用平方电场加权的态密度）根据位置有强烈变化。这两个结果都意味着嵌入该结构中的局域发射器的自发发射率和模式会发生显著变化，并使该系统对于制造具有可控辐射特性的三维光子晶体具有吸引力。
