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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Figure 13: Vertical cross section of the layered structure from figure 10,
corresponding to the top panel of figure 12, showing examples of how a point
defect may be created by modifying a single rod: a rod can be removed (left) to
form an air ...
The strength of the defect is expressed λ is the midgap in terms vacuum of the
wavelength volume of dielectric and n = added√ ε is the or refractive removed,
index. in units of (λ/2n)3, where crystal (shown in the right panel of figure 15), but
We must specify not only the inclination of the surface plane, but also where in
the unit cell we will cut the crystal. In figure 21, we expand the treatment of figure
19 to include multiple possible “cuts” of the rod or hole layers. In the top panel of
Figure 7: Schematic depiction of electric field lines (E) for a thin dielectric
structure (gray shading) with a z=0 mirror symmetry plane. Modes that are ... The
resulting defect state is TE-like, as shown in the left panel of figure 8. The
frequency of ...
The peak arises from a cancellation of the lowest-order multipole moment, as we
can confirm by examining the far-field pattern, which is shown in the left panel of
figure 15. For the resonant mode that maximizes Qr, the far-field radiation ...