We theoretically and experimentally study the Rabi splitting induced by photon tunneling modes in a paired structure
composed of a permittivity-negative medium and a permeability-negative medium. It is shown that a tunneling mode
will appear at the frequency where the paired structure is equivalent to a media with effective (near) zero refractive
index. A cavity may be realized with features: subwavelength cavity size and exponentially increasing of the optical
field. Therefore, the photon tunneling mode in a metamaterial with effective (near) zero refractive index may be used as
a cavity with highly localized field and small volume.
We investigate the spontaneous emission of a two-level atom in one dimensional photonic crystals composed of left-hand material (LHM) and right-hand material (RHM).
A complete set of mode functions is constructed for the quantization of the radiation field. It is found that the mode functions for the frequency with in the band gap decreases exponentially from the surface to the interior of the photonic crystal which results in a much weaker field than the vacuum in the free space. The depression of the field leads to weak interaction with the atom, which leads to the suppressed spontaneous emission. Due to the strong reflection, the field in the LHM-RHM structure is much weaker than that in the RHM-RHM structure, thus the spontaneous emission is more strongly suppressed.
The light localization due to defects and disorder and its effects on light propagation in one-dimensional (1D) photonic band gap (PBG) structures is studied numerically with transfer matrix method. For a defect layer embedded at the center of a I D PBG structure, the simulation results indicated that, the photons will be trapped in the defect region. For a disordered I D PBG structure, a mechanism for extension of the transmission band gap is illustrated with combining the effects of Bragg reflection and Anderson localization. We propose that, analog to disordered semiconductors, there may exist two band gaps in disordered PBG structure: transmission gap and mode-density gap.
The constructive and destructive nature of the interference for the spontaneous emission from a three-level atom have been discussed by using dressed states. There is an interference if the upper level of the spontaneous emission is driven by a coherent field, while there is no interference if the lower level of the spontaneous emission is driven by the field. What interference (constructive or destructive one) we will get at a fixed frequency depends on the initial condition of the atom.
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