Effective medium approach for superlattice excitations and two level atom spontaneous emission spectrum

The effective medium approach was applied to a dielectric slab between one- dimensional photonic crystals and the dispersion curves together with the f ield amplitudes were determined. The probability amplitude and the spontane ous emission spectrum were investigated for a two-level atom immersed in th e region between the photonic crystals. The spontaneous emission rate was c alculated numerically and an interesting feature is that this rate is zero for certain slab thicknesses. The probability amplitude and the spontaneous spectrum show peaks and dips when the mode frequency approaches the photon ic gap regions.