Photonic Crystals: Molding the Flow of Light - Second Edition
Princeton University Press, Oct 30, 2011 - Science - 304 pages
Since it was first published in 1995, Photonic Crystals has remained the definitive text for both undergraduates and researchers on photonic band-gap 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 up-to-date, 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 solid-state 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, photonic-crystal slabs, and photonic-crystal 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 three-dimensional photonic crystals, an extensive tutorial on device design using temporal coupled-mode 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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A radius of r =0.2a corresponds to the perfect crystal. The TM band-gap
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
In our rod-slab example, the rods have a radius r = 0.2a and the slab has a
thickness 2a, whereas in the hole-slab 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) (
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 reduced-radius waveguide
fabricated in a rod slab by Assefa et al. (2004), designed to operate at near-
infrared wavelengths. (GaAs rods on low-index aluminum-oxide pedestals.) The
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 ...