We consider how the rate of resonance energy transfer (RET) between an excited atom and a ground-state one is affected by the presence of a cylindrical photonic band-gap waveguide by using the Green’s function approach. Both positions inside and outside the wall and three types of atomic dipole moment orientations, namely radial, azimuthal and axial orientations, are examined. Results for the photonic band-gap structure and those for the perfectly reflecting one are compared. Differences between the two are found to be significant near the surfaces. Frequency dependence of the rate, which is beyond the perfectly reflecting wall model, is investigated. It is shown that when the waveguide is located in between two atoms which have transition dipole moments parallel with the axis and transition frequency falling within the gap region, the RET is suppressed.

我们使用格林函数方法考虑了圆柱形光子带隙波导的存在如何影响激发原子和基态原子之间的共振能量转移 (RET) 速率。检查壁内外的位置以及三种类型的原子偶极矩取向，即径向、方位角和轴向取向。比较了光子带隙结构和完美反射结构的结果。发现两者之间的差异在表面附近是显着的。研究了超出完美反射壁模型的速率的频率依赖性。结果表明，当波导位于具有平行于轴的跃迁偶极矩和跃迁频率落在间隙区域内的两个原子之间时，