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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... lattices that may approximate two - dimensional crystals is included in this paper . EQUATIONS OF MOTION Consider a monatomic square lattice containing N particles in each direc- tion and let d be the lattice constant and let M by the ...
... square antidot lattice . . . . . . . . . . . . . Hofstadter butterfly ... square antidot lattices with nS = 1 . . . . . . . . . . Relaxation rate of a square lattice of sub-micron holes . . . . . Doubly quantized vortices ...
... SQUARE) knot (Figure 2.2). | A. z ...[H. 2'. l. –. Figure 2.2: Diagram of REEF (or SQUARE) knot. We almost always use square lattice diagrams such as this. They have the two significant advantages that they are easier to draw than curved ...
... square lattice splits into two distinct parts: 1) a regular square lattice with double lattice constant where all heights are zero and 2) another square lattice, dual to the previous one, where the heights are +1. Each plaquette of the full ...
... square lattice shown in Fig.E.1-2a can be reduced to a simple square lattice. Solution: As shown in Fig.E.1-2b, the diagonals of the neighoring area-centered squares form a square lattice with sides bounded by a'b'c'd'. Fig.E.1-2a Fig ...
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Photonic Crystals: Innovative Systems, Lasers and Waveguides Alessandro Massaro Limited preview - 2012 |