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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From inside the book
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... panel of figure 2, corresponding to the configuration that is a small perturbation of the homogeneous system. For k = 7/a, the modes have a wavelength of 2a, twice the crystal's spatial period (or lattice constant). There are two ways ...
... Figure 3: The modes associated with the lowest band gap of the band structure plotted in the center panel of figure 2, at k = 7/a. (a) Electric field of band 1; (b) electric field of band 2; (c) electric-field energy density e |E|2/87 ...
... figure 4, corresponding to the right panel of figure 2. The gap arises from this difference in field energy location. Consequently, we will still refer to the upper band as the air band and the lower as the dielectric band. We conclude ...
... panel of figure 2, at k =7/a. The situation is similar to that of figure 3, but the dielectric contrast is larger. The blue and green regions correspond to e of 13 and 1, respectively. In a multilayer film with weak periodicity, we can ...
... panel of figure 2), the perturbative formula (3) predicts a 2.65% gap, which is in good agreement with the results of a more accurate numerical calculation (2.55%). Equation (3) would predict that the gap–midgap ratio is maximized for d ...
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Photonic Crystals: Innovative Systems, Lasers and Waveguides Alessandro Massaro Limited preview - 2012 |