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
Readers who are familiar with quantum mechanics and solidstate physics are at
some advantage, because our formalism owes a great deal to the techniques
and nomenclature of those fields. Appendix A explores this analogy in detail.
... because they provide a natural setting for the discussion of band gaps. Some
of the terminology of solidstate physics is appropriate, and will be introduced.
We will also investigate rotational, mirror, inversion, and timereversal
symmetries.
There, the concepts are introduced where they find common use, in conventional
solidstate physics. Additionally, appendix B of this text contains a brief
introduction to the reciprocal lattice and the Brillouin zone. The earliest works on
waves in ...
THE TEXT, especially in chapters 2 and 3, we make several comparisons
between our formalism and the equations of quantum mechanics and solidstate
physics. In this appendix, we present an extensive listing of these comparisons.
This is not news to anyone who has studied solidstate physics or other fields in
which lattices play a large role. But for readers who have never encountered the
Brillouin zone, this appendix will provide enough information to completely ...