| Summary: | 碩士 === 輔仁大學 === 物理學系 === 94 === Photonic crystals have attracted much attention in recent years. To control the optical properties of materials has become a key issue in material engineering. It was proposed that the emission of electromagnetic radiation can be modified by the environment. Several environments such as metallic cavities, dielectric cavities, and photonic crystals had been studied. One of the applications is that the occurrence of laser oscillations can be enhanced if the energy dissipation due to the spontaneous emission can be suppressed. In the case of photonic crystals, the environmental effects can be described by the photon density of states (PDOS). The PDOS is related to the transition rate of Fermi golden rule. In this thesis, we investigate the band structures and photon density of states of one-dimensional photonic crystals including a quasi-one-dimensional multilayer heterostructure in a rectangular waveguide and a traditional multilayer film. In addition, we calculate the ATR curves that are useful for studying near field optics. We have tried to solve the band structures and PDOS of 2D and 3D photonic crystals using FEMLAB with MATLAB. Here, some preliminary results of 2D photonic crystals have been presented. Our simulation results have been checked in comparisons with that calculated by other methods, giving good agreement. In the future, we will complete the calculations of 3D photonic crystals.
Key words: photonic crystals, metallic cavities, dielectric cavities, spontaneous emission, photon density of states, band structures, and ATR.
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