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 6
Electromagnetism in Mixed Dielectric Media 6 The Macroscopic Maxwell
Equations 6 Electromagnetism as an Eigenvalue Problem General Properties of
the Harmonic Modes Electromagnetic Energy and the Variational Principle
Magnetic vs.
Electromagnetic Energy and the Variational Principle Although the harmonic
modes in a dielectric medium can be quite complicated, there is a simple way to
understand some of their qualitative features. Roughly, a mode tends to
concentrate ...
One interesting feature of electromagnetism in dielectric media is that there is no
fundamental length scale other than the assumption that the system is
macroscopic. In atomic physics, the spatial scale of the potential function is
generally set ...
A DIELECTRIC STRUCTURE has a certain symmetry, then the symmetry offers a
convenient way to categorize the electromagnetic modes of that system. In this
chapter, we will investigate what various symmetries of a system can tell us about
...
As always, we can use the symmetries of the crystal to characterize its
electromagnetic modes. Because the system is homogeneous in the z direction,
we know that the modes must be oscillatory in that direction, with no restrictions
on the ...