Photonic Crystals

Photonic Crystals : Molding the Flow of Light, Second Edition

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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

Product details

  • Hardback | 304 pages
  • 172.72 x 256.54 x 27.94mm | 1,111.3g
  • Princeton University Press
  • New Jersey, United States
  • English
  • Revised
  • Second
  • 94 color illus. 5 tables.
  • 0691124566
  • 9780691124568
  • 774,243

Review quote

"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 "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 "Photonic Crystals is a timely and well-written account of this new field."--Natureshow more

Back cover copy

"This book is destined to become the classic textbook in the area. It gathers together the fundamental concepts and tools relevant to photonic crystals and presents them with exceptional clarity. I genuinely enjoyed reading it."--Maryanne Large, University of Sydney "An excellent textbook to be used in physics, chemistry, and engineering. The revised edition of Photonic Crystals fills the gap between the layperson and the expert reader."--Costas M. Soukoulis, Iowa State Universityshow more

Table of contents

Preface to the Second Edition xiiiPreface to the First Edition xvChapter 1: Introduction 1Controlling the Properties of Materials 1Photonic Crystals 2An Overview of the Text 3Chapter 2: Electromagnetism in Mixed Dielectric Media 6The Macroscopic Maxwell Equations 6Electromagnetism as an Eigenvalue Problem 10General Properties of the Harmonic Modes 12Electromagnetic Energy and the Variational Principle 14Magnetic vs. Electric Fields 16The Effect of Small Perturbations 17Scaling Properties of the Maxwell Equations 20Discrete vs. Continuous Frequency Ranges 21Electrodynamics and Quantum Mechanics Compared 22Further Reading 24Chapter 3: Symmetries and Solid-State Electromagnetism 25Using Symmetries to Classify Electromagnetic Modes 25Continuous Translational Symmetry 27Index guiding 30Discrete Translational Symmetry 32Photonic Band Structures 35Rotational Symmetry and the Irreducible Brillouin Zone 36Mirror Symmetry and the Separation of Modes 37Time-Reversal Invariance 39Bloch-Wave Propagation Velocity 40Electrodynamics vs. Quantum Mechanics Again 42Further Reading 43Chapter 4: The Multilayer Film: A One-Dimensional Photonic Crystal 44The Multilayer Film 44The Physical Origin of Photonic Band Gaps 46The Size of the Band Gap 49Evanescent Modes in Photonic Band Gaps 52Off-Axis Propagation 54Localized Modes at Defects 58Surface States 60Omnidirectional Multilayer Mirrrors 61Further Reading 65Chapter 5: Two-Dimensional Photonic Crystals 66Two-Dimensional Bloch States 66A Square Lattice of Dielectric Columns 68A Square Lattice of Dielectric Veins 72A Complete Band Gap for All Polarizations 74Out-of-Plane Propagation 75Localization of Light by Point Defects 78Point defects in a larger gap 83Linear Defects and Waveguides 86Surface States 89Further Reading 92Chapter 6: Three-Dimensional Photonic Crystals 94Three-Dimensional Lattices 94Crystals with Complete Band Gaps 96Spheres in a diamond lattice 97Yablonovite 99The woodpile crystal 100Inverse opals 103A stack of two-dimensional crystals 105Localization at a Point Defect 109Experimental defect modes in Yablonovite 113Localization at a Linear Defect 114Localization at the Surface 116Further Reading 121Chapter 7: Periodic Dielectric Waveguides 122Overview 122A Two-Dimensional Model 123Periodic Dielectric Waveguides in Three Dimensions 127Symmetry and Polarization 127Point Defects in Periodic Dielectric Waveguides 130Quality Factors of Lossy Cavities 131Further Reading 134Chapter 8: Photonic-Crystal Slabs 135Rod and Hole Slabs 135Polarization and Slab Thickness 137Linear Defects in Slabs 139Reduced-radius rods 139Removed holes 142Substrates, dispersion, and loss 144Point Defects in Slabs 147Mechanisms for High Q with Incomplete Gaps 149Delocalization 149Cancellation 151Further Reading 155Chapter 9: Photonic-Crystal Fibers 156Mechanisms of Confinement 156Index-Guiding Photonic-Crystal Fibers 158Endlessly single-mode fibers 161The scalar limit and LP modes 163Enhancement of nonlinear effects 166Band-Gap Guidance in Holey Fibers 169Origin of the band gap in holey fibres 169Guided modes in a hollow core 172Bragg Fibers 175Analysis of cylindrical fibers 176Band gaps of Bragg fibers 178Guided modes of Bragg fibers 180Losses in Hollow-Core Fibers 182Cladding losses 183Inter-modal coupling 187Further Reading 189Chapter 10: Designing Photonic Crystals for Applications 190Overview 190A Mirror, a Waveguide, and a Cavity 191Designing a mirror 191Designing a waveguide 193Designing a cavity 195A Narrow-Band Filter 196Temporal Coupled-Mode Theory 198The temporal coupled-mode equations 199The filter transmission 202A Waveguide Bend 203A Waveguide Splitter 206A Three-Dimensional Filter with Losses 208Resonant Absorption and Radiation 212Nonlinear Filters and Bistability 214Some Other Possibilities 218Reflection, Refraction, and Diffraction 221Reflection 222Refraction and isofrequency diagrams 223Unusual refraction and diffraction effects 225Further Reading 228Epilogue 228A Comparisons with Quantum Mechanics 229B The Reciprocal Lattice and the Brillouin Zone 233The Reciprocal Lattice 233Constructing the Reciprocal Lattice Vectors 234The Brillouin Zone 235Two-Dimensional Lattices 236Three-Dimensional Lattices 238Miller Indices 239C Atlas of Band Gaps 242A Guided Tour of Two-Dimensional Gaps 243Three-Dimensional Gaps 251D Computational Photonics 252Generalities 253Frequency-Domain Eigenproblems 255Frequency-Domain Responses 258Time-Domain Simulations 259A Planewave Eigensolver 261Further Reading and Free Software 263Bibliography 265Index 283show more

About John D. Joannopoulos

John D. Joannopoulos is the Francis Wright Davis Professor of Physics at the Massachusetts Institute of Technology. Steven G. Johnson is assistant professor of applied mathematics at MIT. Joshua N. Winn is assistant professor of physics at MIT. Robert D. Meade is a physicist and former research scientist at MIT. He currently works in equity more

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