Photonic Crystals: Molding the Flow of Light (Second Edition)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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... band structure of the crystal, meaning that electrons are forbidden to propagate with certain energies in certain ... band gap. For example, a semiconductor has a complete band gap between the valence and conduction energy bands. The ...
... band gap in the plane of periodicity. By analyzing field patterns of some electromagnetic modes in different crystals, we gain insight into the nature of band gaps in complex periodic media. We will see that defects in such two ...
... band number. If the spectrum is discrete for a given k, we can use integers for n, but sometimes the band number is ... structure (also called a band diagram or dispersion relation) is shown in figure 3 and is considered in more detail ...
... band structure with L > ck is called the light cone. The modes in the light cone are solutions of Snell's law (less than the critical angle). In addition to the light cone, the glass plate introduces new electromagnetic solutions that ...
... band number. The information contained in these functions is called the band structure of the photonic crystal. Studying the band structure of a crystal supplies us with most of the information we need to predict its optical properties ...
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Photonic Crystals: Innovative Systems, Lasers and Waveguides Alessandro Massaro Limited preview - 2012 |