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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... Irreducible Brillouin Zone Mirror Symmetry and the Separation of Modes Time-Reversal Invariance Bloch-Wave Propagation Velocity xiii xv 1 1 2 3 10 12 14 16 17 20 21 22 24 25 25 27 30 32 35 36 37 39 40 Electrodynamics vs. Quantum ...
... Irreducible Brillouin Zone Photonic crystals might have symmetries other than discrete translations. A given crystal might also be left invariant after a rotation, a mirror reflection, or an inversion is performed. To begin, we examine ...
... Brillouin zone. The smallest region within the Brillouin zone for which the Ln (k) are not related by symmetry is called the irreducible Brillouin zone. For example, a photonic crystal with the symmetry of a simple square lattice has a ...
Molding the Flow of Light (Second Edition) John D. Joannopoulos. Brillouin zone of Real lattice reciprocal lattice r ... irreducible zone is the light blue triangular wedge. The special points at the center, corner, and face are ...
... Brillouin zone, with the irreducible zone shaded light blue. The right inset shows a cross-sectional view of the dielectric function. The columns (e =8.9, as for alumina) are embedded in air (e = 1). Consider light that propagates in ...
Other editions - View all
Photonic Crystals: Innovative Systems, Lasers and Waveguides Alessandro Massaro Limited preview - 2012 |