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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Left and middle panels correspond to the edges of the gap in the even guided
modes, while the right panel has odd symmetry with respect to the y=0 mirror
plane. The dielectric squares are shown as dashed green lines. (Recall that the ...
The guided band is shown as a red line, and extended modes of the crystal are
shown in shaded dark blue, with the band gap(s) shaded yellow. Left: TM mode
of two-dimensional crystal (uniform in z, kz =0) with a TM gap. Middle: TM-like ...
c 0.35 Light Cone (f) 0.3 (c) (e) 0.25 (d) z 0.2 (b) y (a) x 0.15 0.1 y-even y-odd
0.05 gap bands index-guided bands 0 0 0.1 ... Guided modes are introduced
both in the gap (red bands in pink shaded region) and below all of the extended
1.6 0.045 photonic crystal 1.2 light-cone ωlight-line 0.04 0.8 0.035 guided mode
0.4 0.03 0 0.025 fundamentalguidedmode 0 0.4 0.8 1.2 Wave vector k z 1.6 2 a/
2π 0.02 0.015 0.01 0.005 higher-order guided modes 0 0 2 4 6 8 10 12 14 16 18
Eventually, one approaches the ray-optics limit, in which the guided modes are
described by a continuum of angles greater than the critical angle for total
internal reflection. However, as first pointed out by Birks et al. (1997), this need
not be ...