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 7
The layered material is the same as the one described in figure 5. The surface is
terminated by a layer of high dielectric with a width of 0.1a (half of its usual
thickness), as shown in figure 13. must consider all possibilities for k. The
appropriate ...
A twodimensional photonic crystal is periodic along two of its axes and
homogeneous along the third axis. A typical specimen, consisting of a square
lattice of dielectric columns, is shown in figure 1. We imagine the columns to be
infinitely tall; ...
y Figure 8: A twodimensional photonic crystal of air columns in a dielectric
substrate (which we imagine to extend indefinitely in the z direction). ... An
example of such a system is the triangular lattice of air columns, shown in figure 8
. The idea ...
The basic idea is to carve a waveguide out of an otherwise perfect photonic
crystal by modifying a linear sequence of unit cells, as shown schematically in
figure 12.9 Light that propagates in the waveguide with a frequency within the
band gap ...
1 0.9 0.8 0.7 0.6 Photonic Band Gap 0.5 0.4 0.3 0.2 0.1 0 Γ X X W Figure 11: The
photonic band structure for the ... zone is larger than that of the fcc lattice
described in appendix B, because of reduced symmetry—only a portion is shown
, ...