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prelims.tex
Photonic Crystals
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prelims.tex
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Photonic Crystals
Molding the Flow of Light
Second Edition
John D. Joannopoulos
Steven G. Johnson
Joshua N. Winn
Robert D. Meade
P R I N C E T O N U N I V E R S I T Y P R E S S • P R I N C E T O N A N D O X F O R D
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Copyright c 2008 by Princeton University Press
Published by Princeton University Press, 41 William Street, Princeton,
New Jersey 08540
In the United Kingdom: Princeton University Press, 3 Market Place,
Woodstock, Oxfordshire OX20 1SY
All Rights Reserved
Library of Congress Cataloging-in-Publication Data
Joannopoulos, J. D. (John D.), 1947-
Photonic crystals: molding the flow of light/John D. Joannopoulos . . . [et al.].
p. cm.
Includes bibliographical references and index.
ISBN: 978-0-691-12456-8 (acid-free paper)
1. Photons. 2. Crystal optics. I. Joannopoulos, J. D. (John D.), 1947- II. Title.
QC793.5.P427 J63 2008
548
2007061025
.9–dc22
British Library Cataloging-in-Publication Data is available
This book has been composed in Palatino
Printed on acid-free paper. ∞
press.princeton.edu
Printed in Singapore
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To Kyriaki and G. G. G.
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To see a World in a Grain of Sand,
And a Heaven in a Wild Flower,
Hold Infinity in the palm of your hand
And Eternity in an hour.
— William Blake, Auguries of Innocence (1803)
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CONTENTS
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 Irreducible Brillouin Zone
Mirror Symmetry and the Separation of Modes
Time-Reversal Invariance
Bloch-Wave Propagation Velocity
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