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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On the other hand, the TE band structure has a photonic band gap between the
first two bands. ... adjusting the dimensions of the lattice, we can even arrange for
the band gaps to overlap, resulting in a complete band gap for all polarizations.
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 ...
In fact, we shall see that all known photonic crystals with large band gaps (15%
or larger with a dielectric contrast of 13 to 1) are closely related to the ... Although
the dielectric contrast is very large, there is no complete photonic band gap.
The irreducible Brillouin zone is larger than that of the fcc lattice described in
appendix B, because of reduced symmetry—only a portion is shown, including
the edges of the complete photonic band gap (yellow). Inverse opals In figure 2,
In contrast, a photonic band gap can localize light in a waveguide with a lower
index, such as the hollow core in figure 1(b). Of course, a fiber cannot have a
complete band gap, because of its continuous translational symmetry in the z