Photonic Crystals: Molding the Flow of Light - Second Edition
Princeton University Press, Oct 30, 2011 - Science - 304 pages
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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1 0.8 0.6 0.4 ED states DE states 0.2 EE states DD surface states 0 0 0.5 1 1.5 2
2.5 Wave vector kya/2π Figure 14: The x-polarized band structure at the surface
of a multilayer film. The shaded regions describe states that are extended in the ...
positive negative Dz Figure 14: Displacement fields (Dz) of states localized about
a defect in a square lattice of alumina rods (ε=8.9) in air. The color indicates the
magnitude of the field. The defect on the left was created by reducing the ...
The state at An =1.58 has the field pattern shown in the left panel of figure 14.
planes per column, as shown on the right panel of figure 14. Because there are
also two nodal planes in the defect, we call this a quadrupole mode. The defect ...
Air Defect (larger hole) 3D Photonic Crystal 2D Photonic Crystal neg Hz pos neg
Hz pos Figure 15: Horizontal and ... state, however, the vertical cross section in
the top middle of figure 14 demonstrates that the field is localized vertically as
(The amplitudes of the refracted and reflected waves, on the other hand, depend
on the surface termination and require a more detailed solution of the Maxwell
equations.) The procedure is depicted in figure 14(right). For a chosen frequency,