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
A general analytical expression for the effective dielectric constants of a photonic
crystal is not available, but the constants can be calculated numerically.7
Returning to the multilayer film, we would like to understand why modes
polarized in ...
Given this fact, it may seem paradoxical that a properly designed multilayer
structure can still reflect light waves that are incident from any angle, with any
polarization, if it has a frequency that is within a specified range. Such a device,
an ...
More precisely, the twodimensional crystal with a complete band gap had
dielectric “veins” for the TE polarization (in the plane) and dielectric spots for the
TM polarization (out of the plane). However, the spots were actually long
channels ...
Polarization. In the twodimensional structures of chapter 5, there is a
fundamental distinction between the TM and TE polarizations. It is common for a
structure to have a gap for modes of one polarization, but not the other. In three
dimensions ...
Polarization and Slab Thickness Why did we choose the rod slab to be nearly
four times thicker than the hole slab? This question invites a discussion of the
optimal slab thickness, which turns out to be strongly related to polarization.
Figure 3 ...