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 radius of r =0.2a corresponds to the perfect crystal. The TM bandgap
frequency range, about 0.32–0.44 2πc/a, is shaded yellow. If the radius is
decreased then a single monopole state is pushed up into the gap. If the radius is
increased ...
In our rodslab example, the rods have a radius r = 0.2a and the slab has a
thickness 2a, whereas in the holeslab example, the holes have a radius r = 0.3a
and the slab has a thickness 0.6a. (We will discuss the optimization of these (a) (
b) ...
Specifically, we consider shrinking the radius of all of the rods in a particular row
—a fabricated example of a similar waveguide is shown in figure 4. In figure 5,
we plot the projected band diagram for different choices of the shrunken radius, ...
GaAs Al x O y 2 microns Figure 4: Two views of a reducedradius waveguide
fabricated in a rod slab by Assefa et al. (2004), designed to operate at near
infrared wavelengths. (GaAs rods on lowindex aluminumoxide pedestals.) The
structure ...
In figure 17, we plot the absorption suppression factor α/α0 of four modes for the
core radius R = 3a of figure 15a. Even for this small radius, we see that
absorption losses can be suppressed by more than a factor of 10. (Notice also
that the ...