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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12 The dipole degeneracy in this case is less intuitive than in the section
Localization of Light by Point Defects of chapter 5, because the structure has 120
◦ rotational symmetry, corresponding to the C3v symmetry group, but not 90◦
initially asymptote towards the gaps of the corresponding two-dimensional
structures: 28% for the holes and 39% for the rods. However, at a certain critical
thickness (∼1.2a for the holes and ∼2.25a for the rods), a higher-order mode is
Second, each mode ψ in the scalar limit, a so-called LP mode (Gloge, 1971),
corresponds toseveralvectorial solutions of the Maxwell equations for the same |
ψ|2 intensity pattern and the same eigenvalue kt. There are two possibilities. If ψ
is a ...
The frequency range of omnidirectional reflection from an air medium (
corresponding to the black light line ω =ckz) is shaded yellow. (Note that this “TM/
TE” terminology is the reverse of the “te/tm” terminology used later in the chapter.)
The incident angle, in this plot, corresponds to a particular wave vector k (black
dot) and its group velocity (black arrow) on the incident contour. Then, to select
modes with the same k, we draw a dashed line through the incident k and ...