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 5
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
...
Air Defect (larger hole) 3D Photonic Crystal 2D Photonic Crystal neg Hz pos neg
Hz pos Figure 15: Horizontal and ... Likewise, if we look at the cross section of
this threedimensional defect in the midplane of the hole layer, we find that it has
a ...
Left: Ez for “TMlike” band when the surface is terminated with a full rod layer.
Right: Hz for “TElike” band when the surface is terminated with half of a hole
layer. and increasing ω corresponds to increasing angles out of the plane.
Likewise ...
localized in the rod layer is TMlike in its midplane, and the mode that is
localized in the hole layer is TElike in its midplane. For this reason, we plot only
the vertical (z) component of E for the rodlayer mode, and the vertical component
of H ...
Figure 21: The r–K band structures of the (111) surface of the layered structure
from figure 10, for various terminations ending at a rod layer (top) or a hole layer (
bottom). The figure zooms in on the gap region of figure 19, using the same ...