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Informationen zum Autor DENNIS W. PRATHER, PHD, is a Professor in the Department of Electrical and Computer Engineering at the University of Delaware, where he leads the Laboratory for Nanoscale and Integrated Photonic Systems. Professor Prather is a Fellow of SPIE and OSA. Klappentext The Only Source You Need for Understanding the Design and Applications of Photonic Crystal-Based DevicesThis book presents in detail the fundamental theoretical background necessary to understand the unique optical phenomena arising from the crystalline nature of photonic-crystal structures and their application across a range of disciplines. Organized to take readers from basic concepts to more advanced topics, the book covers:* Preliminary concepts of electromagnetic waves and periodic media* Numerical methods for analyzing photonic-crystal structures* Devices and applications based on photonic bandgaps* Engineering photonic-crystal dispersion properties* Fabrication of two- and three-dimensional photonic crystalsThe authors assume an elementary knowledge of electromagnetism, vector calculus, Fourier analysis, and complex number analysis. Therefore, the book is appropriate for advanced undergraduate students in physics, applied physics, optics, electronics, and chemical and electrical engineering, as well as graduate students and researchers in these fields. Zusammenfassung The Only Source You Need for Understanding the Design and Applications of Photonic Crystal-Based Devices This book presents in detail the fundamental theoretical background necessary to understand the unique optical phenomena arising from the crystalline nature of photonic-crystal structures and their application across a range of disciplines. Inhaltsverzeichnis Chapter 1. Introduction 1 1.1 Historical Overview 3 1.2 Analogy Between Photonic and Semiconductor Crystals 6 1.3 Analyzing Photonic-Bandgap Structures 8 References 11 Chapter 2. Preliminary Concepts of Electromagnetic Waves and Periodic Media 17 2.1 Electromagnetic Waves 17 2.1.1 Maxwell's Equations in Linear, Homogeneous Media 18 2.1.2 Electromagnetic Waves 21 2.1.3 Optical Waves 23 2.1.4 Guided Waves 28 2.1.5 Group Velocity in Homogeneous Media 37 2.2 Periodic Media 38 2.2.1 Real-Space Lattices, Lattice Vectors 39 2.2.2 Reciprocal Lattice and Brillouin Zone 47 2.3 Waves in Periodic Media 49 2.3.1 Wave Equation in Periodic Dielectric Structures 49 2.3.2 Group Velocity in Periodic Media 55 2.3.3 Dispersion Surfaces and Band Diagrams 57 References 60 Chapter 3. Numerical Methods 63 3.1 Overview 63 3.2 Plane-Wave Expansion Method 65 3.2.1 Preliminaries 65 3.2.2 One-Dimensional Plane-Wave Expansion Method 66 3.2.3 Two-Dimensional Plane-Wave Expansion Method 72 3.2.4 Three-Dimensional Plane-Wave Expansion Method 84 3.2.5 Practical Considerations in the Implementation of the Plane-Wave Expansion Method 87 3.2.6 Photonic-Crystal Slab by Plane-Wave Expansion Method 90 3.2.7 Revised Plane-Wave Method for Dispersive Material and its Application to Band-Structure Calculations of Photonic-Crystal Slabs 102 3.3 Finite-Difference Time-Domain (FDTD) Method 108 3.3.1 Central-Difference Expressions of Maxwell's Equations 109 3.3.2 Two-Dimensional FDTD Method 110 3.3.3 Three-Dimensional FDTD Method 112 3.3.4 Numerical Stability and Dispersion 114 3.3.5 Simulating Transient and Steady-State System Response 116 3.3.6 Absorbing Boundary Conditions 118 3.3.7 FDTD for Photonic Crystals 122 References 125 Chapter 4. Devices and Applications Based on Photonic Bandgaps 133 4.1 Introduction 133 4.2 Point Defects 134 4.2.1 Numerical Analysis of Point Defects 134
