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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