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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As we will see, in one case Hk is perpendicular to the mirror plane and Ek is
parallel; while in the other case, Hk is in the plane and Ek is perpendicular. This
simplification is convenient, because it provides immediate information about the
Such a device, an omnidirectional mirror, relies on two physical properties. First,
k is conserved at any interface parallel to the layers, if the light source is far
enough away that it does not interrupt the translational symmetry of the structure
in the ...
It does not matter which material forms the edge of the mirror. The pink shaded
area is the region in which there is a nonzero omnidirectional gap. Some
common materials, such as the silicon/silica/air combination indicated by the
arrow, fall ...
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
We have expended a great deal of effort to understand the different ways in
which photonic crystals can reflect and trap light, thereby forming mirrors,
waveguides, and resonant cavities. These three components are themselves
very useful, ...