Introduction to Photonic and Phononic Crystals and Metamaterials

Description

Introduction to Photonic and Phononic Crystals and Metamaterials, by Arthur R. McGurn, presents a study of the fundamental properties of optical and acoustic materials which have been of recent interest in nanoscience and device technology. The level of the presentations is appropriate for advanced undergraduates, beginning graduate students, and researchers not directly involved in the field. References are given to guide the reader to more advanced study in these fields. Discussions of the physics of photonic and phononic crystals focus on the transmission properties of optical and acoustic radiation arising from their diffractive interaction in these engineered materials. The frequency transmission and non-transmission bands of radiation are explained in terms of the symmetry properties of the photonic and phononic artificial crystal structures. Basic applications of these properties to a variety of their technological applications are examined. The physics of metamaterials is discussed along with their relationships to the ideas of resonance. Properties of negative index of refraction, perfect lens, and unusual optical effects the new optics of metamaterial media makes available are examined. Related effects in acoustics are also covered. Basic principles of surface acoustic and electromagnetic waves are explained. These form an introduction to the fundamental ideas of the recently developing fields of plasmonics and surface acoustics. Preface Introduction Review of Acoustics and Electromagnetism Acoustics Elastic Theory Theory of Fluid Mechanics Electromagnetic Theory Fields, Forces, and Energy Maxwell Equations Solutions of Maxwell Equations: Electromagnetic Waves Relativistic Formulation Acoustic and Electromagnetic Scattering from Cylinders Acoustical Scattering Elastic Waves in the Isotropic Homogeneous Solid Elastic Waves in the Fluid General Solutions of the Helmholtz Equation for Fluids and Solids Boundary Conditions Application of the Boundary Conditions and Solution of the Problem An Example Electromagnetic Scattering Incident Solutions in the Region Outside the Cylinder Electric Field Polarized Parallel to the Cylinder Axis Magnetic Field Polarized Parallel to the Cylinder Axis Examples of Electromagnetic Scattering from Cylinders Photonic and Phononic Crystals Treatment of Periodic Functions One-Dimensional Systems Two-Dimensional and Three-Dimensional Lattices Point Group Symmetries Rotational Symmetry Effects of Symmetry of the Equations of Motion Symmetry Groups Symmetries and Eigenvalue Degeneracies Classes of the Group Importance of the Classes Irreducible Representations and Class Orthogonality Relationships Example of the Character Orthogonality Relationships An Application of the Character Table in Band Structure Calculations Photonic and Phononic Crystals and their Applications Photonic Crystal Systems Phononic Crystal Systems Photonic Crystal Applications in Fiber Optics Model of an Infinite Straight Waveguide of Circular Cross Section Example of a Cylindrical Waveguide with Perfect Conducting Walls Applications of Resonant Cavities and Photonic Crystal Technologies Acoustic and Electromagnetic Metamaterials Effective Media Methods for Composite Media Resonator Based Metamaterials Negative Effective Mass Negative Young's Modulus Negative Young's Modulus and Negative Effective Mass Optical Metamaterials Magneto-Inductive Waves Optical Materials with Negative Index of Refraction Double Negative Optical Metamaterials Design of Optical Metamaterials Refraction at an Interface Going from Positive to Positive Indexed Media Going from Positive to Negative Indexed Media Snell's Law Some Applications of Negative Index Materials Some Final Considerations and Recent Developments Surfaces and Surface Waves Surface Acoustic Waves Rayleigh Waves Love Waves Surface Electromagnetic Waves Surface Electromagnet Waves on a Planar Interface Between Two Media Finite Layered Media Applications of Electromagnetic and Acoustic Surface Waves References Author's Biography Blank Page