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.

From inside the book
Results 15 of 8
OPTICAL ANALOGUE of an ordinary crystal is a threedimensional photonic
crystal: a dielectric structure that is periodic ... of orthogonal dielectric columns, an
inverse opal, and a stack of alternating twodimensional crystals of rods and
holes.
rod layer air cylinder z hole layer x y Figure 10: Threedimensional photonic
crystal formed by a stack of layers with twodimensional cross sections: triangular
lattices of dielectric rods in air (upperright inset) and holes in dielectric (lowerleft
...
Rod. and. Hole. Slabs. Two examples of photoniccrystal slabs are shown in
figure 1. Just as in chapter 5, we will study two basic topologies: a square lattice
of dielectric rods in air [figure 1(a)]; and a triangular lattice of air holes in dielectric
...
After consulting an atlas of gap maps, such as the abbreviated one provided in
appendix C, we notice a particularly simple geometry with those characteristics:
the square lattice of dielectric rods, which has large TM band gaps. The gap map
is ...
1 0.8 Square lattice of dielectric rods 0.6 y c n e u q e r TM TE Both 0 0.4 F 0.2 0
0.2 0.4 0.6 Radius r/a 0.1 0.3 0.5 0.7 gap recipes for the simplest (although not
the most practical) threedimensional crystals, a diamond lattice of dielectric ...