Description
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
Chapter
Discrete Translational Symmetry
Rotational Symmetry and the Irreducible Brillouin Zone
Mirror Symmetry and the Separation of Modes
Bloch-Wave Propagation Velocity
Electrodynamics vs. Quantum Mechanics Again
4 The Multilayer Film: A One-Dimensional Photonic Crystal
The Physical Origin of Photonic Band Gaps
Evanescent Modes in Photonic Band Gaps
Localized Modes at Defects
Omnidirectional Multilayer Mirrrors
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
Localization of Light by Point Defects
Point defects in a larger gap
Linear Defects and Waveguides
6 Three-Dimensional Photonic Crystals
Three-Dimensional Lattices
Crystals with Complete Band Gaps
Spheres in a diamond lattice
A stack of two-dimensional crystals
Localization at a Point Defect
Experimental defect modes in Yablonovite
Localization at a Linear Defect
Localization at the Surface
7 Periodic Dielectric Waveguides
Periodic Dielectric Waveguides in Three Dimensions
Symmetry and Polarization
Point Defects in Periodic Dielectric Waveguides
Quality Factors of Lossy Cavities
Polarization and Slab Thickness
Substrates, dispersion, and loss
Mechanisms for High Q with Incomplete Gaps
9 Photonic-Crystal Fibers
Mechanisms of Confinement
Index-Guiding Photonic-Crystal Fibers
Endlessly single-mode fibers
The scalar limit and LP modes
Enhancement of nonlinear effects
Band-Gap Guidance in Holey Fibers
Origin of the band gap in holey fibres
Guided modes in a hollow core
Analysis of cylindrical fibers
Band gaps of Bragg fibers
Guided modes of Bragg fibers
Losses in Hollow-Core Fibers
10 Designing Photonic Crystals for Applications
A Mirror, a Waveguide, and a Cavity
Temporal Coupled-Mode Theory
The temporal coupled-mode equations
A Three-Dimensional Filter with Losses
Resonant Absorption and Radiation
Nonlinear Filters and Bistability
Reflection, Refraction, and Diffraction
Refraction and isofrequency diagrams
Unusual refraction and diffraction effects
Appendix A: Comparisons with Quantum Mechanics
Appendix B: The Reciprocal Lattice and the Brillouin Zone
Constructing the Reciprocal Lattice Vectors
Three-Dimensional Lattices
Appendix C: Atlas of Band Gaps
A Guided Tour of Two-Dimensional Gaps
Appendix D: Computational Photonics
Frequency-Domain Eigenproblems
Frequency-Domain Responses
Further Reading and Free Software