摘要
Light propagation in a one-dimensional photonic crystal （PC）, consisting of alternative slabs with refractive indices （layer thicknesses） nl （a） and n2 （b）, is investigated. An important optimal parameter matching condition, n1a ≈ n2b, is obtained for the largest photonic band gap （PBG）. Moreover, we find that the exact analytical solutions for the electric/magnetic field eigenmodes at the band edges are standing waves with odd or even symmetry about the centre of each layer. The electric/magnetic field eigenfunctions at the top and bottom of the nth band have n and n - 1 nodes in one period of PC, respectively. The PBG arises from the symmetric differences of the field eigenfunctions at the band edges.
Light propagation in a one-dimensional photonic crystal （PC）, consisting of alternative slabs with refractive indices （layer thicknesses） nl （a） and n2 （b）, is investigated. An important optimal parameter matching condition, n1a ≈ n2b, is obtained for the largest photonic band gap （PBG）. Moreover, we find that the exact analytical solutions for the electric/magnetic field eigenmodes at the band edges are standing waves with odd or even symmetry about the centre of each layer. The electric/magnetic field eigenfunctions at the top and bottom of the nth band have n and n - 1 nodes in one period of PC, respectively. The PBG arises from the symmetric differences of the field eigenfunctions at the band edges.
基金
Supported by the National Natural Science Foundation of China under Grant Nos 60276004 and 60390073.
SUPERLATTICES
