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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10 Band-Gap Guidance in Holey Fibers Origin of the band gap in holey fibres
Guided modes in a hollow core Bragg Fibers Analysis of cylindrical fibers Band
gaps of Bragg fibers Guided modes of Bragg fibers Losses in Hollow-Core Fibers
(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”),
omnidirectional mirrors for Bragg fibers. As discussed below, the omndirectional
regime is correlated with that of the strongest optical confinement. Hollowcore
omnidirectional-mirror Bragg fibers have been created in the laboratory, as
especially gaps at kz near 0, much easier to create in Bragg fibers than in fibers
with two-dimensional periodicity such as the holey fibers of the previous section.
On the other hand, holey fibers can be constructed from a single solid material ...
The modes of the Bragg fiber are analogous, but there are a few important
differences. Most obviously, the frequencies are slightly shifted compared to the
metallic structure, and as a side effect the modes analogous to te01 and tm 11
are no ...