| Preface to the Second Edition | p. xiii |
| Preface to the First Edition | p. xv |
| Introduction | p. 1 |
| Controlling the Properties of Materials | p. 1 |
| Photonic Crystals | p. 2 |
| An Overview of the Text | p. 3 |
| Electromagnetism in Mixed Dielectric Media | p. 6 |
| The Macroscopic Maxwell Equations | p. 6 |
| Electromagnetism as an Eigenvalue Problem | p. 10 |
| General Properties of the Harmonic Modes | p. 12 |
| Electromagnetic Energy and the Variational Principle | p. 14 |
| Magnetic vs. Electric Fields | p. 16 |
| The Effect of Small Perturbations | p. 17 |
| Scaling Properties of the Maxwell Equations | p. 20 |
| Discrete vs. Continuous Frequency Ranges | p. 21 |
| Electrodynamics and Quantum Mechanics Compared | p. 22 |
| Further Reading | p. 24 |
| Symmetries and Solid-State Electromagnetism | p. 25 |
| Using Symmetries to Classify Electromagnetic Modes | p. 25 |
| Continuous Translational Symmetry | p. 27 |
| Index guiding | p. 30 |
| Discrete Translational Symmetry | p. 32 |
| Photonic Band Structures | p. 35 |
| Rotational Symmetry and the Irreducible Brillouin Zone | p. 36 |
| Mirror Symmetry and the Separation of Modes | p. 37 |
| Time-Reversal Invariance | p. 39 |
| Bloch-Wave Propagation Velocity | p. 40 |
| Electrodynamics vs. Quantum Mechanics Again | p. 42 |
| Further Reading | p. 43 |
| The Multilayer Film: A One-Dimensional Photonic Crystal | p. 44 |
| The Multilayer Film | p. 44 |
| The Physical Origin of Photonic Band Gaps | p. 46 |
| The Size of the Band Gap | p. 49 |
| Evanescent Modes in Photonic Band Gaps | p. 52 |
| Off-Axis Propagation | p. 54 |
| Localized Modes at Defects | p. 58 |
| Surface States | p. 60 |
| Omnidirectional Multilayer Mirrrors | p. 61 |
| Further Reading | p. 65 |
| Two-Dimensional Photonic Crystals | p. 66 |
| Two-Dimensional Bloch States | p. 66 |
| A Square Lattice of Dielectric Columns | p. 68 |
| A Square Lattice of Dielectric Veins | p. 72 |
| A Complete Band Gap for All Polarizations | p. 74 |
| Out-of-Plane Propagation | p. 75 |
| Localization of Light by Point Defects | p. 78 |
| Point defects in a larger gap | p. 83 |
| Linear Defects and Waveguides | p. 86 |
| Surface States | p. 89 |
| Further Reading | p. 92 |
| Three-Dimensional Photonic Crystals | p. 94 |
| Three-Dimensional Lattices | p. 94 |
| Crystals with Complete Band Gaps | p. 96 |
| Spheres in a diamond lattice | p. 97 |
| Yablonovite | p. 99 |
| The woodpile crystal | p. 100 |
| Inverse opals | p. 103 |
| A stack of two-dimensional crystals | p. 105 |
| Localization at a Point Defect | p. 109 |
| Experimental defect modes in Yablonovite | p. 113 |
| Localization at a Linear Defect | p. 114 |
| Localization at the Surface | p. 116 |
| Further Reading | p. 121 |
| Periodic Dielectric Waveguides | p. 122 |
| Overview | p. 122 |
| A Two-Dimensional Model | p. 123 |
| Periodic Dielectric Waveguides in Three Dimensions | p. 127 |
| Symmetry and Polarization | p. 127 |
| Point Defects in Periodic Dielectric Waveguides | p. 130 |
| Quality Factors of Lossy Cavities | p. 131 |
| Further Reading | p. 134 |
| Photonic-Crystal Slabs | p. 135 |
| Rod and Hole Slabs | p. 135 |
| Polarization and Slab Thickness | p. 137 |
| Linear Defects in Slabs | p. 139 |
| Reduced-radius rods | p. 139 |
| Removed holes | p. 142 |
| Substrates, dispersion, and loss | p. 144 |
| Point Defects in Slabs | p. 147 |
| Mechanisms for High Q with Incomplete Gaps | p. 149 |
| Delocalization | p. 149 |
| Cancellation | p. 151 |
| Further Reading | p. 155 |
| Photonic-Crystal Fibers | p. 156 |
| Mechanisms of Confinement | p. 156 |
| Index-Guiding Photonic-Crystal Fibers | p. 158 |
| Endlessly single-mode fibers | p. 161 |
| The scalar limit and LP modes | p. 163 |
| Enhancement of nonlinear effects | p. 166 |
| Band-Gap Guidance in Holey Fibers | p. 169 |
| Origin of the band gap in holey fibres | p. 169 |
| Guided modes in a hollow core | p. 172 |
| Bragg Fibers | p. 175 |
| Analysis of cylindrical fibers | p. 176 |
| Band gaps of Bragg fibers | p. 178 |
| Guided modes of Bragg fibers | p. 180 |
| Losses in Hollow-Core Fibers | p. 182 |
| Cladding losses | p. 183 |
| Inter-modal coupling | p. 187 |
| Further Reading | p. 189 |
| Designing Photonic Crystals for Applications | p. 190 |
| Overview | p. 190 |
| A Mirror, a Waveguide, and a Cavity | p. 191 |
| Designing a mirror | p. 191 |
| Designing a waveguide | p. 193 |
| Designing a cavity | p. 195 |
| A Narrow-Band Filter | p. 196 |
| Temporal Coupled-Mode Theory | p. 198 |
| The temporal coupled-mode equations | p. 199 |
| The filter transmission | p. 202 |
| A Waveguide Bend | p. 203 |
| A Waveguide Splitter | p. 206 |
| A Three-Dimensional Filter with Losses | p. 208 |
| Resonant Absorption and Radiation | p. 212 |
| Nonlinear Filters and Bistability | p. 214 |
| Some Other Possibilities | p. 218 |
| Reflection, Refraction, and Diffraction | p. 221 |
| Reflection | p. 222 |
| Refraction and isofrequency diagrams | p. 223 |
| Unusual refraction and diffraction effects | p. 225 |
| Further Reading | p. 228 |
| Epilogue | p. 228 |
| Comparisons with Quantum Mechanics | p. 229 |
| The Reciprocal Lattice and the Brillouin Zone | p. 233 |
| The Reciprocal Lattice | p. 233 |
| Constructing the Reciprocal Lattice Vectors | p. 234 |
| The Brillouin Zone | p. 235 |
| Two-Dimensional Lattices | p. 236 |
| Three-Dimensional Lattices | p. 238 |
| Miller Indices | p. 239 |
| Atlas of Band Gaps | p. 242 |
| A Guided Tour of Two-Dimensional Gaps | p. 243 |
| Three-Dimensional Gaps | p. 251 |
| Computational Photonics | p. 252 |
| Generalities | p. 253 |
| Frequency-Domain Eigenproblems | p. 255 |
| Frequency-Domain Responses | p. 258 |
| Time-Domain Simulations | p. 259 |
| A Planewave Eigensolver | p. 261 |
| Further Reading and Free Software | p. 263 |
| Bibliography | p. 265 |
| Index | p. 283 |
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