By: John D. Joannopoulos, Steven G. Johnson, Joshua N. Winn, Robert D. Meade

Hardcover

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Since it was first published in 1995, "Photonic Crystals" has remained the definitive text for both undergraduates and researchers on photonic band-gap materials and their use in controlling the propagation of light. This newly expanded and revised edition covers the latest developments in the field, providing the most up-to-date, concise, and comprehensive book available on these novel materials and their applications.

Starting from Maxwell's equations and Fourier analysis, the authors develop the theoretical tools of photonics using principles of linear algebra and symmetry, emphasizing analogies with traditional solid-state physics and quantum theory. They then investigate the unique phenomena that take place within photonic crystals at defect sites and surfaces, from one to three dimensions. This new edition includes entirely new chapters describing important hybrid structures that use band gaps or periodicity only in some directions: periodic waveguides, photonic-crystal slabs, and photonic-crystal fibers. The authors demonstrate how the capabilities of photonic crystals to localize light can be put to work in devices such as filters and splitters. A new appendix provides an overview of computational methods for electromagnetism. Existing chapters have been considerably updated and expanded to include many new three-dimensional photonic crystals, an extensive tutorial on device design using temporal coupled-mode theory, discussions of diffraction and refraction at crystal interfaces, and more. Richly illustrated and accessibly written, "Photonic Crystals" is an indispensable resource for students and researchers.Extensively revised and expanded Features improved graphics throughout Includes new chapters on photonic-crystal fibers and combined index-and band-gap-guiding Provides an introduction to coupled-mode theory as a powerful tool for device design Covers many new topics, including omnidirectional reflection, anomalous refraction and diffraction, computational photonics, and much more.

Photonic Crystals is a timely and well-written account of this new field. Nature This book offers elegant full-color illustrations and is superbly produced. This has to be applauded in an era dominated by low-resolution digital images. In summary: Photonics Crystals is a beauty and is highly recommended to photonics, laser, and optical scientist. Optics Journal This text is certainly pitched at a post third-year quantum mechanics, electromagnetism and solid-state physics level in the Australian context and is ideally suited to study at an Honours or a Masters level. [Images freely available from MIT complement this text]. Certainly for all who offer photonics courses, this book should be in your institution's library if not on your shelf. -- John Holdsworth Australian Physics

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
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9780691124568
ISBN-10: 0691124566
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 304
Published: 11th February 2008
Dimensions (cm): 25.8 x 18.6  x 2.462
Weight (kg): 1.096