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
For example, chapter 2 now contains a section introducing the useful technique
of perturbation analysis and a section on understanding the subtle differences
between discrete and continuous frequency ranges. Chapter 3 includes a section
...
Is it a continuous range of values, like a rainbow, or do the frequencies form a
discrete sequence ω0 ,ω 1,..., like the vibration frequencies of a piano string? The
next chapter will feature some specific examples of spectra, but in this section we
...
We will see in the chapters to come that this result, applied to photonic crystals,
leads to the concepts of discrete frequency bands and of localized modes near
crystal defects. An intuitive explanation for the relation between the bounded ...
We call these the indexguided modes, and from the section Discrete vs.
Continuous Frequency Ranges of chapter 2 we expect that for a given k they form
a set of discrete frequencies, because they are localized in one direction. Thus,
we ...
As was discussed in the section Discrete vs. Continuous Frequency Ranges of
chapter 2, restricting a Hermitian eigenvalue problem to a finite volume leads to a
discrete spectrum of eigenvalues. We can expect to find, for each value of k, ...