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
Hole. Slabs. Two examples of photoniccrystal 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)]
.
a2=ay ^ ^ a1^ b1^ b2=(2π/a)y =ax =(2π/a)x Figure 2: The square lattice. On the
left is the network ... This (5), is again a triangular lattice, but rotated by 90◦ with
respect to the first, and with L U X W K Γ Figure 4: The Brillouin. THE
RECIPROCAL ...
Now we reverse the dielectric configuration, so that the columns of the square
lattice have ε = 1, and the surrounding medium ... We shall see that our next
structure, the triangular lattice of columns, does possess such a complete band
gap.
On the other hand, the TM gaps for the triangular lattice of rods are visibly larger
than those of the square lattice. The reason for this is that the triangular lattice
has more symmetry, and in particular its Brillouin zone (a hexagon) is more
circular ...
Molding the Flow of Light  Second Edition John D. Joannopoulos, Steven G.
Johnson, Joshua N. Winn, Robert D. Meade. 0.3 90 80 0.25 Triangular lattice 70 )
60 of dielectric rods % ( e z i s p a g M T 0 0.2 50 40 30 O p tim u m 0.15 0.1 ra d
...