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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We can use point defects in photonic crystals to trap light, as we have just seen.
By using linear defects, we can also guide light from one location to another. The
basic idea is to carve a waveguide out of an otherwise perfect photonic crystal by
0.5 c 0.4 linear-defect band (guided modes) 0.3 0.2 0.1 k 0 0 0.1 0.2 0.3 0.4 0.5
Wave vector ka/2π Figure 19: The projected band structure of the line defect (
inset) formed by removing a row (or column) of rods from an otherwise perfect
Figure 16 shows that the defect frequency is an increasing function of the volume
of the air defect (removing a slice of a ... Another class of defects are linear
defects, which modify a sequence of unit cells in one direction to form a
Line Defect (missing row of rods) 3D Photonic Crystal 2D Photonic Crystal neg
Ez pos neg Ez pos Figure 17: Horizontal and vertical cross sections (intersecting
at green lines) of Ez field patterns of a linear defect in the layered structure (left), ...
Rather, our designs are constrained by things like the light cone, higher-order
modes in defects, substrates, and so on. ... As in chapters 5 and 6, by introducing
a linear defect into the periodic structure, we can create a waveguide mode that ...