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 6
To show how this separation of modes comes about, let us turn again to the
dielectric system illustrated in figure 5, the notched dielectric. This system is
invariant under mirror reflections in the yz and xz planes. We focus on reflections
Mx ...
Inside this gap, no extended states are permitted, and incident light is reflected.
Unlike the multilayer film, this twodimensional photonic crystal can prevent light
from propagating in any direction within the plane. As always, we can use the ...
Molding the Flow of Light  Second Edition John D. Joannopoulos, Steven G.
Johnson, Joshua N. Winn, Robert D. Meade. This is the equation of a Lorentzian
peak with a maximum at ω = ω0. In the same way, we can derive the reflection ...
Although most of it is radiated, part of it is reflected because the radiation loss
spoils our zeroreflection condition. In particular, if we solve for the reflection
spectrum R(ω) similar to equation (11), we find that the reflection R(ω0) at
resonance is ...
0.5 M θ Γ X re Λ θ 1 0.5 0 0.5 refle c te d 0.5 M M crystal −θ kx 1 (2π/a)
refracted 1 incident diffractive reflections? refracted 0 flecte d air Figure 14: Left:
Schematic of reflection (blue) and refraction (red) of a plane wave incident (black)
on a ...