Photonic Crystals: Molding the Flow of Light - Second Edition
Princeton University Press, Oct 30, 2011 - Science - 304 pages
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.
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In this chapter, we will present several examples of three-dimensional crystals
with complete band gaps: a diamond lattice of air holes, a drilled dielectric known
as Yablonovite, a woodpile stack of orthogonal dielectric columns, an inverse ...
rod layer air cylinder z hole layer x y Figure 10: Three-dimensional photonic
crystal formed by a stack of layers with two-dimensional cross sections: triangular
lattices of dielectric rods in air (upper-right inset) and holes in dielectric (lower-left
Air Defect (larger hole) 3D Photonic Crystal 2D Photonic Crystal neg Hz pos neg
Hz pos Figure 15: Horizontal and vertical cross sections (intersecting at green
lines) of Hz field patterns of point defects in the layered structure from figure 10 ...
Hole. Slabs. Two examples of photonic-crystal slabs are shown in figure 1. Just
as in chapter 5, we will study two basic topologies: a square lattice of dielectric
rods in air [figure 1(a)]; and a triangular lattice of air holes in dielectric [figure 1(b)]
(a) (b) (c) a a R Figure 1: Three examples of photonic-crystal fibers. (a) Bragg
fiber, with a one-dimensionally periodic cladding of concentric layers. (b) Two-
dimensionally periodic structure (a triangular lattice of air holes, or “holey fiber”),