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.

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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
...
The red curve is the electricfield strength of the defect state associated with this
structure (for onaxis propagation). frequency becomes independent of the on
axis wave vector, and every mode in the band becomes the frequency of a
guided ...
Figure 12: The division of frequency space into extended and evanescent states.
In this sketch, the density of states (the number of allowed modes per unit
frequency) is zero in the band gaps of the crystal (yellow). Modes are allowed to
exist in ...
... the Brillouin zone. As before, we use the label n (band number) to label the
modes in order of increasing frequency. a z x y Figure 1: A twodimensional
photonic crystal. 5 TwoDimensional Photonic Crystals TwoDimensional Bloch
States.
We will provide examples of filters, which only transmit light within a specified
frequency band; bends, which guide light around a sharp corner; and splitters,
which divide a waveguide into two. Finally, we will consider further the
applications of ...