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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(b) Two-dimensionally periodic structure (a triangular lattice of air holes, or “holey
fiber”), confining light in a hollow core by a band gap. (c) Holey fiber that confines
light in a solid core by index guiding. layers as in figure 1(a)—were first ...
Gaps are shaded yellow: the lower gap corresponds to the index-guiding region,
and the upper gap corresponds to one of the band gaps inside the light cone
where guiding in an air core is possible. Guided modes in a hollow core By now
ωa/2πc. = 1.68 kza/2π= 1.6 kza/2π = 1.7 0 max Intensity Figure 11: Intensity
patterns (ˆz · Re[E∗ × H]) of three doubly degenerate modes of a hollow-core
holey fiber (ε shaded green), corresponding to the dots on the thick red lines in
Given the multilayer mirror with the parameters of the previous section, we form a
hollow-core fiber by wrapping the mirror around an air core. This involves two
important decisions: what core radius R do we employ, and how do we terminate
What about two-dimensionally periodic photonic-crystal fibers, such as the hollow
-core holey structure in figure 1(b)? Overall, the same asymptotic 1/R3 scaling
should apply: the core interface/area ratio goes as 1/R and there is an additional