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 two-dimensional photonic crystal is periodic along two of its axes and
homogeneous along the third axis. A typical specimen, consisting of a square
lattice of dielectric columns, is shown in figure 1. We imagine the columns to be
infinitely tall; ...
Hole. Slabs. Two examples of photonic-crystal slabs are shown in figure 1. Just
as in chapter 5, we will study two basic topologies: a square lattice of dielectric
rods in air [figure 1(a)]; and a triangular lattice of air holes in dielectric [figure 1(b)]
The dotted line is the perpendicular bisector of the line joining two reciprocal
lattice points (blue). If we choose the left ... In chapter 5, we worked extensively
with photonic crystals that are based on a square or triangular lattice. What are
a2=ay ^ ^ a1^ b1^ b2=(2π/a)y =ax =(2π/a)x Figure 2: The square lattice. On the
left is the network of lattice points in real space. In the middle is the
corresponding reciprocal lattice. On the right is the construction of the first
Brillouin zone: taking ...
80 0.3 70 60 ) Square lattice of dielectric rods 0.25 %( 50 0.2 e z i s O p timu
m p a g - 40 M T 30 20 0.15 0.1 ra diu sr / a 10 0.05 0 0 0 1 2 3 4 5 6 7 8 9 10
Index contrast nhi/nlo Since the lowest gap is the largest one, in most cases this
is the ...