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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the relative 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
One interesting feature of electromagnetism in dielectric media is that there is no
fundamental length scale other than the assumption ... Just as there is no
fundamental length scale, there is also no fundamental value of the dielectric
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 ...
Instead, the light effectively sees a homogeneous dielectric medium, with an
effective dielectric constant that is a weighted average over all of the “microscopic
” variations in ε. In many cases, the averaged dielectric constant will be a function
y Figure 8: A two-dimensional photonic crystal of air columns in a dielectric
substrate (which we imagine to extend indefinitely in the z direction). The
columns have radius r and dielectric constant ε =1. The left inset shows a view of