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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Appendix C now includes plots of gap size and optimal parameters vs. index
contrast for both 2D and 3D photonic crystals. Appendix D now provides a
completely new description of computational photonics, surveying computations
in both ...
The left-hand plot is for a system in which all of the layers have the same
dielectric constant; the medium is actually uniform in all three directions. The
center plot is for a structure with alternating dielectric constants of 13 and 12, and
Since they are both TE-like, it is reasonable to plot only the Hz field component (
which is the only H field component in the z = 0 plane), as we did in figure 6. This
plot is instructive because it exhibits a subtle fact about symmetry and ...
The usualω plot is inset, but for clarity we also plot the Aω between the guided
bands and the light line. The higher-order guided modes are three bands that are
nearly on top of one another. In this structure, however, the guided mode is so ...
... Steven G. Johnson, Joshua N. Winn, Robert D. Meade. z unit cell z (421) plane
x y x y Figure 5: The Miller indices for a crystal plane. Left: A plot of the unit cell.
The length of the unit cell in each direction is the lattice constant for that direction.