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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... theorems analogous to those of the previous section can be developed because the two operators of the generalized eigenproblem, ∇×∇× and ε(r), are easily shown to be both Hermitian and positive semi-definite.16 In particular, it can ...
... theorem. Finally, in quantum mechanics, there is usually a fundamental length scale that prevents us from relating solutions to potentials that differ by a scale factor. Electrodynamics is free from such a length scale, and the ...
... proved from the fact that the projection operator for the group representation (see, e.g. Inui et al., 1996) commutes with the time-evolution operator. 5 In fact, the essentials of this theorem were discovered. 30 CHAPTER 3.
... theorem, equation (23) of chapter 2). These new solutions must be localized in the vicinity of the glass. Below the light line, the only solutions in air are those with imaginary k ⊥ = √ ±i k2 − L2/c2, corresponding to fields that ...
... theorem. In solid-state physics, the form of (9) is known as a Bloch state (as in Kittel, 1996), and in mechanics as a Floquet mode (as in Mathews and Walker, 1964). We will use the former name.5 One key fact about Bloch states is that ...
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Photonic Crystals: Innovative Systems, Lasers and Waveguides Alessandro Massaro Limited preview - 2012 |