光子晶体 : 第2版

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

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.