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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The field patterns of the TM modes of the first band (dielectric band) and second
band (air band) are shown in figure 3. For modes at the r point, the field pattern is
exactly the same in each unit cell. For modes at the X point (the zone edge), the ...
H z field at X (TE) band 1 band 2 negative positive Figure 4: Magnetic fields of X-
point TE states inside a square array of dielectric (ε=8.9) columns in air. The
column positions are indicated by dashed green outlines, and the color indicates
D z field at X (TM) band 1 band 2 negative positive Figure 6: Displacement fields
of X-point TM modes for a square array of dielectric (ε=8.9) veins in air. The color
indicates the amplitude of the displacement field, which is oriented in the z ...
Table 2 TM TE Dielectric band 89% 83% Air band 77% 14% Concentration
factors for the lowest two bands of the square lattice of veins at the X point. are
confined to the dielectric crosses and vertical veins, whereas the fields of the air
In this chapter, we will present several examples of three-dimensional crystals
with complete band gaps: a diamond lattice of air holes, a drilled dielectric known
as Yablonovite, a woodpile stack of orthogonal dielectric columns, an inverse ...