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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In this section, we explore the surface modes that photonic crystals are capable
of sustaining, much like the one-dimensional case in the section Surface States
of chapter 4. For a surface mode, light is localized at a surface plane, as shown ...
0.5 0.45 air k y 0.4 crystal Band Gap 0.35 Surface Modes (DD) 0.3 0.25 0.3 0.35
0.4 0.45 0.5 Wave vector kya/2π Figure 21: The projected band structure of the
constant-x surface of the square lattice of alumina rods in air, like figure 20 above
Threedimensional photonic crystals can have the novel properties we discussed
in the previous two chapters, including band gaps, defect modes, and surface
states. In this chapter, we will present several examples of three-dimensional ...
Full-rod termination Half-hole termination 1 0.8 0.6 0.4 M K 0.2 Γ DD states
surface band 0 Γ M K Γ Figure 19: The band structure of the (111) surface of the
layered structure from figure 10, along special directions in the surface
Full-rod termination Half-hole termination TM-like surface state at K TE-like
surface state at K neg Hz pos neg pos Ez Figure 20: Horizontal and vertical cross
sections (intersecting at green lines) of field patterns for the two crystal