【摘要】 目前文献多采用一种近似表达式来表示光子带隙附近的色散关系 ,而远离光子带隙区域时该式并不适用。完善了光子晶体中光场色散关系的近似表达式 ,给出一种适用于整个频域范围内的色散关系近似表达式 ,克服了积分只能限制在光子带隙附近的困难。光子晶体中原子的自发辐射呈现出一些新的性质 ,提出一种简便的方法 ,即求系统本征值的方法来研究光子晶体中的光场 -原子束缚态。在新的色散关系下 ,用求解系统本征值的方法讨论了光子晶体中单个二能级原子的自发辐射形成的光场 -原子束缚态的性质。结果发现束缚态的性质与原子的能级跃迁频率相对光子带隙边缘频率的位置有关。更多还原

【Abstract】 At present, in most work the approach expression is used to present the photonic disperse relationship. But it is suitable only near the band-gap edge. The analytical expression of photonic dispersive relationship in photonic crystal is improved to a more reasonable form. The difficulty that the integral is limited only in the region near the photonic gap is overcomed. A solution to the eigenvalue problem of atom-field trapped state is presented. With this new dispersive relationship and solution, the trapped state of photon-atom of single two-level atom in photonic crystal is discussed. We demonstrate that the property of the trapped photon dressed atom-field state depends on the relative position of the transition frequency from the band-gap edge.更多还原