دانلود کتاب Phononic Crystals: Artificial Crystals for Sonic, Acoustic, and Elastic Waves

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Preface\nContents\n1 Introduction\nPart I: Acoustic waves in sonic crystals\n 2 Scalar waves in periodic media\n 2.1 Scalar waves in homogeneous media\n 2.1.1 One-dimensional wave propagation\n 2.1.2 Three-dimensional wave propagation\n 2.2 Bloch’s theorem\n 2.3 Physical origin of band gaps\n 2.3.1 1D periodic media\n 2.3.2 Two- and three-dimensional cases\n 2.3.3 Local resonance\n 2.4 Lattices, Brillouin zones and the band structure\n 2.4.1 Bravais lattice\n 2.4.2 Primitive cell\n 2.4.3 Reciprocal lattice\n 3 Acoustic waves\n 3.1 Dynamical equations of acoustic waves\n 3.1.1 1D acoustic equations\n 3.1.2 3D acoustic equations\n 3.1.3 Poynting’s theorem for acoustic waves\n 3.1.4 Constants of fluids, loss\n 3.2 Reflection and refraction\n 3.3 Finite element modeling of scattering acoustic problems\n 3.3.1 Mesh, finite element space, weak form, problem solving\n 3.3.2 Weak form of the acoustic wave equation\n 3.3.3 Radiation boundary condition\n 3.3.4 Representation of an internal source of waves\n 3.3.5 Perfectly matched layer for monochromatic waves\n 3.3.6 Scattering of an incident plane wave\n 4 Sonic crystals\n 4.1 Modeling of sonic crystals\n 4.1.1 Dynamical equations\n 4.1.2 Plane wave expansion (PWE) method\n 4.1.3 Multiple scattering theory (MST and LMS)\n 4.1.4 Finite-difference time-domain (FDTD)\n 4.1.5 Finite element modeling (FEM)\n 4.1.6 Other methods\n 4.2 2D sonic crystal\n 4.2.1 Rigid cylinders in air\n 4.2.2 Steel cylinders in water\n 4.2.3 Deaf bands and unit cell symmetry\n 4.2.4 Sonic crystal design\n 4.3 3D sonic crystals\n 4.3.1 Air bubbles in water\n 4.3.2 Tungsten carbide beads in water\n 4.A Derivation of PWE equations\n 4.B Some properties of eigenvalue problems\nPart II: Elastic waves in phononic crystals\n 5 Elastic waves\n 5.1 Elastodynamic equations\n 5.2 Bulk waves in elastic solids\n 5.3 Piezoelectric media\n 5.4 Bulk waves in piezoelectric media\n 5.5 Reflection and refraction\n 5.6 Plate waves\n 5.7 Surface waves\n 5.A Tensors\n 5.B Modeling bulk, plate, and surface waves with FEM\n 5.B.1 Variational formulation for elastic waves\n 5.B.2 Finite element implementation\n 6 Phononic crystals for bulk elastic waves\n 6.1 Modeling of phononic crystals\n 6.1.1 Dynamical equations\n 6.1.2 Plane wave expansion (PWE) method\n 6.1.3 Finite-difference time-domain method (FDTD)\n 6.1.4 Finite element modeling (FEM)\n 6.2 2D phononic crystals\n 6.2.1 Stiff-in-soft composition\n 6.2.2 Soft-in-stiff composition\n 6.2.3 Solid-void composition\n 6.2.4 Crystals containing anisotropic elastic solids\n 6.2.5 Crystals containing piezoelectric solids\n 6.3 3D phononic crystals\n 7 Phononic crystals for surface and plate waves\n 7.1 Bloch waves of phononic crystal slabs\n 7.1.1 Analysis with FEM\n 7.1.2 Analysis with PWE\n 7.2 Experiments with phononic crystal slabs\n 7.2.1 Holey phononic crystal slab\n 7.2.2 Solid-solid phononic crystal slab\n 7.3 Surface Bloch waves\n 7.3.1 Expansion in partial waves\n 7.3.2 Surface boundary conditions\n 7.3.3 Semi-infinite surface phononic crystals\n 7.3.4 Finite-depth surface phononic crystals\n 7.4 Surface phononic crystals\nPart III: Wave phenomena in phononic crystals\n 8 Coupling of acoustic and elastic waves in phononic crystals\n 8.1 Coupling of acoustic and elastic waves\n 8.2 Sonic crystal of solid inclusions in a fluid\n 8.2.1 Solid rods in water\n 8.2.2 Nylon rods in water\n 8.3 Fluid-filled inclusions in 2D phononic crystals\n 8.3.1 Air holes in 2D phononic crystals\n 8.3.2 Liquid-filled inclusions as sensors\n 8.4 Corrugated surfaces and plates\n 9 Evanescent Bloch waves\n 9.1 Evanescent waves and Bloch’s theorem\n 9.2 Evanescent Bloch waves of sonic crystals\n 9.2.1 Analysis via the plane wave expansion\n 9.2.2 Finite element modeling\n 9.2.3 Complex band structure\n 9.3 Evanescent Bloch waves of phononic crystals\n 9.3.1 Analysis via the plane wave expansion\n 9.3.2 Analysis via the finite element method\n 9.3.3 Complex band structure\n 9.3.4 Viscoelastic losses\n 9.4 Supercells and defect modes\n 10 Locally-resonant crystals\n 10.1 Local resonance and Fano resonance\n 10.2 1D arrays of resonators grafted on waveguides\n 10.3 Locally-resonant sonic crystals\n 10.4 Locally-resonant phononic crystals\n 10.5 Phononic crystal slab with pillars\n 10.6 Surface phononic crystal of pillars\n 11 Mirrors, waveguides, and cavities\n 11.1 Phononic crystal functions\n 11.2 Mirrors\n 11.3 Defect cavities\n 11.4 Defect waveguides\n 11.4.1 Waveguides in 2D sonic crystals\n 11.4.2 Waveguides in phononic crystal slabs\n 11.4.3 Waveguides in surface phononic crystals\n 11.4.4 Coupled-resonator acoustic waveguides (CRAW)\n 11.4.5 The phononic crystal fiber\n 12 Spatial and temporal dispersion\n 12.1 Dispersion relations\n 12.2 Refractive sonic crystal lenses\n 12.3 Negative refraction in sonic crystals\n 12.4 Collimation\n 12.5 Gradient-index phononic crystals\n 12.6 Negative refraction in phononic crystals\n 12.7 Reflection and refraction at a crystal boundary\n 12.8 Sonic crystal as a diffraction grating\n 12.9 Temporal dispersion and tunneling\n 13 Conclusion\nBibliography\nIndex