Photonic Crystals: Molding the Flow of Light  Second EditionSince it was first published in 1995, Photonic Crystals has remained the definitive text for both undergraduates and researchers on photonic bandgap 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 uptodate, 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 solidstate 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, photoniccrystal slabs, and photoniccrystal 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 threedimensional photonic crystals, an extensive tutorial on device design using temporal coupledmode 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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Results 15 of 7
One of the primary applications of indexguiding photoniccrystal 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 largekz 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
simple ...