Photonic Crystals: Molding the Flow of Light - Second Edition
Princeton University Press, Oct 30, 2011 - Science - 304 pages
Since it was first published in 1995, Photonic Crystals has remained the definitive text for both undergraduates and researchers on photonic band-gap 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 up-to-date, 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 solid-state 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, photonic-crystal slabs, and photonic-crystal 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 three-dimensional photonic crystals, an extensive tutorial on device design using temporal coupled-mode 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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Chapter 4 includes a section on how to best quantify the band gap of a photonic
crystal and a section describing the novel phenomenon of omnidirectional
reflectivity in multilayer film systems. Chapter 5 now contains an expanded
section on ...
In chapter 4, we will see that one-dimensional systems can exhibit three
important phenomena: photonic band gaps, localized modes, and surface states.
Because the index contrast is only along one direction, the band gaps and the
There is no allowed mode in the crystal that has a frequency within this gap,
regardless of k. We call such a gap a photonic band gap. The right-hand plot
shows that the gap widens considerably as the dielectric contrast is increased.
We will ...
Photonic band gaps appear in the plane of periodicity. For light propagating in
this plane, the harmonic modes can be divided into two independent
polarizations, each with its own band structure. As before, we can introduce
defects in order to ...
Threedimensional photonic crystals can have the novel properties we discussed
in the previous two chapters, including band gaps, defect modes, and surface
states. In this chapter, we will present several examples of three-dimensional ...