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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One of the primary applications of index-guiding photonic-crystal fibers has been
to enhance the strength of nonlinear optical effects. Nonlinear phenomena in
fibers are typically due to the Kerr effect, in which the index varies in proportion to
Furthermore, there are vectorial effects in the nonlinear susceptibility that become
significant for large dielectric contrasts (away from the large-kz limit), but that are
neglected in the common scalar version of equation (5). It is useful, instead, ...
Finally, we will consider further the applications of nonlinear materials (a topic we
touched upon in the chapter 9). With a suitable nonlinear material, the photonic-
crystal filter can act as an optical “transistor.” For simplicity, most of our examples
6 5 T = 100% P / P T U O b 4 3 2 1 0 0 5 10 15 20 25 PIN /Pb Figure 11: Output
versus input power, in units of a characteristic power Pb, for the filter of figure 12
when a Kerr nonlinearity is included in the cavity: the frequency of the cavity shifts
As the input power grows, ε will increase due to the nonlinearity, and this will shift
ω0 to lower frequencies, and thus pull down the resonant peak through ω.
Consequently, one might expect a rise and fall in transmission. However, this