Department of Photonics, National Chiao Tung University, Hsinchu, Taiwan.
J Phys Condens Matter. 2011 Jun 8;23(22):225301. doi: 10.1088/0953-8984/23/22/225301. Epub 2011 May 16.
The spontaneous emission dynamics of atoms embedded in an omnidirectional waveguide (ODWG), a novel optical waveguide, is studied on the basis of the complete reflection of one-dimensional photonic crystals. With the dispersion curve of the single waveguide mode within the photonic band gap and various extents of background dissipation, we characterize the photon-atom interaction in the ODWG. The photon emitter of the system is a two-level atom embedded in the low-index medium of the multilayer-film ODWG or the atom-ODWG system. Fractional calculus, an innovative mathematical method in optical systems, is applied to solve the equation of motion for this atom-ODWG system. Two kinds of states with different group velocities exhibit totally distinctive dynamical behavior. The high frequency waveguide mode with a fast group velocity shows fast exponential decay in propagation while the band-edge mode with a slow group velocity displays non-Markovian dynamics with non-exponential oscillating time evolution. We therefore suggest different functions of this atom-ODWG system for these two kinds of states. The richness of the physical content of the system is also revealed through investigating the dynamical behavior of the band-edge mode. These results aid in further application and fundamental understanding of the atom-ODWG system.
基于一维光子晶体的完全反射，研究了嵌入各向同性波导（ODWG）中的原子的自发发射动力学。通过光子带隙中单波导模式的色散曲线和不同程度的背景耗散，我们描述了 ODWG 中的光子-原子相互作用。系统的光子发射器是嵌入多层膜 ODWG 或原子-ODWG 系统低折射率介质中的二能级原子。分数微积分是光学系统中的一种创新数学方法，用于求解这个原子-ODWG 系统的运动方程。具有不同群速度的两种状态表现出完全不同的动力学行为。具有快速群速度的高频波导模式在传播过程中表现出快速指数衰减，而具有较慢群速度的带边模式则表现出非马尔可夫动力学，具有非指数振荡时间演化。因此，我们建议为这两种状态使用此原子-ODWG 系统的不同功能。通过研究带边模式的动力学行为，还揭示了系统丰富的物理内容。这些结果有助于进一步应用和理解原子-ODWG 系统。
