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 6
It is also important that the substrate have a much smaller dielectric constant than
the waveguide, so that the guided modes and the band gap remain well below
the light cone. A common pairing at infrared wavelengths is silicon (Si) on silica ...
Figure 9 also illustrates the effect of a substrate. The black and red lines show Q
versus N for two different possible substrates. In both cases, the waveguide has e
= 12, and the underlying substrate has e = 2.25. The first case (red) is a ...
2000 1000 air bridge 10 1 2 3 4 5 6 7 8 9 100 solid substrate Figure 9: Total Q of
the point defect state from figure 8, as a function of the number N of holes on
either side of the defect. (After the holes, the structure is simply a uniform
waveguide.) ...
... transitions from one field pattern to the other. reduce the polarization mixing by
etching the periodic pattern into the substrate as well as the slab, much like the
monorail substrate in the section Quality Factors of Lossy Cavities of chapter 7.
Table 1 Symmetric Asymmetric Suspended membrane 13000 — e = 2.25 pillars
7200 8100 Solid e = 2.25 substrate 380 370 Intrinsic radiative lifetimes Qr for the
pointdefect structure of figure 12 resting on various substrates: air, e = 2.25 ...