| Summary: | 博士 === 國立中央大學 === 光電科學研究所 === 99 === In this thesis we discuss the properties of acoustic wave in metamaterial media. We first review the history of metamaterials and introduce activity topics of metamaterial research. The numerical methods are introduced and relevant formulas are derived in chapter 2. These numerical methods include: Plane wave expansion method, Dirichlet to Neumann method, Multiple scattering method, Effective circuit diagram of acoustic system, and Finite difference time domain (FDTD) method based on Z transforms. Four topics are included in this thesis: the stability of subwavelength imaging of a photonic crystal slab, the off-plane shear waves focusing of a phononic crystal slab, phononic crystal waveguide of array cylinders, and acoustic field propagation in a dispersive medium. Finally, we summarized the main conclusions and discuss the future work.
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