　　We were delighted with the positive response to the first edition of this book. There is， naturally， always some sense of trepidation when one writes the first text book at the birth of a new field. One dearly hopes the field will continue to grow and blossom， but then again， will the subject matter of the book quickly become obsolete? To attempt to alleviate the latter， we made a conscious effort in the first edition to focus on the fundamental concepts and building blocks of this new field and leave out any speculative areas. Given the continuing interest in the first edition， even after a decade of exponential growth of the field， it appears that we may have succeeded in this regard. Of course， with great growth come many new phenomena and a deeper understanding of old phenomena. We felt， therefore， that the time was now ripe for an updated and expanded second edition.

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Preface to the Second Edition
Preface to the First Edition

1 Introduction
Controlling the Properties of Materials
Photonic Crystals
An Overview of the Text

2 Electromagnetism in Mixed Dielectric Media
The Macroscopic Maxwell Equations
Electromagnetism as an Eigenvalue Problem
General Properties of the Harmonic Modes
Electromagnetic Energy and the Variational Principle
Magnetic vs. Electric Fields
The Effect of Small Perturbations
Scaling Properties of the Maxwell Equations
Discrete vs, Continuous Frequency Ranges
Electrodynamics and Quantum Mechanics Compared
Further Reading

3 Symmetries and Solid-State Electromagnetism
Using Symmetries to Classify Electromagnetic Modes
Continuous Translational Symmetry
Index guiding
Discrete Translational Symmetry
Photonic Band Structures
Rotational Symmetry and the lrreducible Brillouin Zone
Mirror Symmetry and the Separation of Modes
Time-Reversal Invariance
Bloch-Wave Propagation Velocity
Electrodynamics vs. Quantum Mechanics Again
Further Reading

4 The Multilayer Film: A One-Dimensional Photonic
Crystal
the Muttilayer Film
The Physical Origin of Photonic Band Gaps
The Size of the Band Gap
Evanescent Modes in Photonic Band Gaps
Off-Axis Propagation
Localized Modes at Defects
Surface States
Omnidirectional Multilayer Mirrrors
Further Reading

5 Two-Dimensional Photonic Crystals
Two-Dimensional Bloch States
A Square Lattice of Dielectric Columns
A Square Lattice of Dielectric Veins
A Complete Band Gap for All Polarizations
Out-of-Plane Propagation
Localization of Light by Point Defects
Point defects ln a larger gap
Linear Defects and Waveguides
Surface States
Further Reading

6 Three-Dimensional Photonic Crystals
Three-Dimensional Lattices
Crystals with Complete Band Gaps
Spheres ln a diamond lattice
Yablonovite
the woodpile crystal
lnverse opals
A stack of two-dimensional crystals
……

7 Periodic Dielectric Waveguides
8 Photonic-CrystaISlabs
9 Photonic-CrystaIFibers
10 esigning Photonic Crystals for Applications
A Comparisons with Quantum Mechanics
B The Reciprocal Lattice and the Brillouin Zone
C Atlas of Band Gaps
D ComputationaiPhotonics