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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... respectively, of 1D-periodic dielectric waveguides, 2D-periodic photonic-crystal
slabs, and photonic-crystal fibers. ... Appendix C now includes plots of gap size
and optimal parameters vs. index contrast for both 2D and 3D photonic crystals.
Left: every layer has the same dielectric constant ε =13. Center: layers alternate
between ε of 13 and 12. Right: layers alternate between ε of 13 and 1. For now,
consider waves that propagate entirely in the z direction, crossing the sheets of ...
In fact, we shall see that all known photonic crystals with large band gaps (15%
or larger with a dielectric contrast of 13 to 1) are closely related to the diamond
structure. Consider a photonic crystal composed of only two different substances.
we found that a photonic band gap opens up at the Brillouin-zone edge (ω = c|k|
= cπ/a) even for arbitrarily small values of the dielectric contrast. Given this fact,
one might expect that in three dimensions we could achieve the same property—
We will do this both for dielectric columns in air, and for air columns in dielectric,
both with a dielectric contrast of 11.4.1 ... To use a gap map to find a crystal for a
specific application, the frequency and the lattice constant must be scaled to the ...