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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... Dielectric Media IN ORDER TO STUDY the propagation of light in a photonic ... constant). This makes photonic crystals scalable in a way that traditional ... constants such as ε0 and μ0 are replaced by factors of 4π and chere and there ...
... permittivity.3 Third, we ignore any explicit frequency dependence (material dispersion) of the dielectric constant. Instead, we simply choose the value of the dielectric constant appropriate to the frequency range of the physical system ...
... dielectric medium is a differential equation for H(r), given by equation (7). The content of the equation is this ... constant times the original function H(r). This situation arises often in mathematical physics, and is called an eigenvalue ...
... dielectric constant ε (thereby maximizing the denominator) and to minimize the amount of spatial oscillations (thereby minimizing the numerator) while remaining orthogonal to lower-frequency modes.13 Although we derived (23) by starting ...
... dielectric function that is proportional to either the amplitude of the ... constant with temperature. However, we warn that there are cases in which ... dielectric constants ε1 and ε2, then the moving discontinuity in the dielectric ...
Other editions - View all
Photonic Crystals: Innovative Systems, Lasers and Waveguides Alessandro Massaro Limited preview - 2012 |