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
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Chapter 3 includes a section describing the basics of index guiding and a section
on how to understand the Blochwave propagation velocity. Chapter 4 includes a
section on how to best quantify the band gap of a photonic crystal and a ...
We will combine index guiding in one direction with a photonic band gap in the
other direction. Consider a strip of material extending in the x direction, as shown
in figure 2(a). The strip confines light in the y direction by index guiding, ...
THE PREVIOUS CHAPTER, we saw how simple structures with only
onedimensional periodicity can be used to confine light in three dimensions by a
combination of band gaps and index guiding. Now, we will carry that idea one
step further, ...
A traditional optical fiber consists of a central core that is surrounded by a
cladding of slightly lower dielectric constant, which confines the light by index
guiding (as described in the subsection Index guiding of chapter 3). In this
chapter, we will ...
We begin with indexguiding fibers, since those are the easiest to understand.
They also demonstrate the important concept of the highfrequency scalar limit, a
rigorous asymptotic form of the eigenmodes that we use to explain many ...