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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... lattice Bloch vector. state We of with the can wave translation do just vector ... triangular wedge with 1/8 the area of the full Brillouin zone; the rest of ... lattice reciprocal lattice r X k SYMMETRIES AND SOLID-STATE ELECTROMAGNETISM 37.
... lattice reciprocal lattice r X k Figure 6: Left: A photonic crystal made using a square lattice. An arbitrary vector ... triangular wedge. The special points at the center, corner, and face are conventionally known as r, M, and X. M Γ ...
... lattice constant a. The band structure for a crystal consisting of alumina ... triangular edge of the irreducible Brillouin zone, from r to X to M, as ... Lattice. of. Dielectric. Columns. Figure 3: Displacement fields of TM states inside a ...
... lattice array has a square Brillouin zone, which is illustrated in the inset panel of figure 2. The irreducible Brillouin zone is the triangular wedge in the upper-right corner; the rest of the Brillouin zone can be related to this ...
... triangular lattice from above, with the unit cell framed in red. It has lattice constant a. to the appearance of a node in the higher-frequency mode. This, in turn, led to the large TM photonic band gap. The lattice of dielectric veins ...
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Photonic Crystals: Innovative Systems, Lasers and Waveguides Alessandro Massaro Limited preview - 2012 |