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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Uf(H) = (23) = ∫ From this expression, we can see that the way to minimize Uf is
to concentrate the electric field E in regions of high dielectric constant ε (thereby
maximizing the denominator) and to minimize the amount of spatial oscillations ...
into a contribution from the electric field, and a contribution from the magnetic
field: UE ∫ d3rε(r)|E(r)|2 ε04 (24) UH μ0 ∫ 4 d3r|H(r)|2. In a harmonic mode, the
physical energy is periodically exchanged between the electric and magnetic
(20) Although we will not show it explicitly, the electric field Ek obeys a similar
equation, so that both the electric and magnetic fields must be either even or odd
the under two-dimensional the OˆMx operation. But Mx r = yz plane). Therefore ...
(a) E-field for mode at top of band 1 ε =13 ε =12 (b) E-field for mode at bottom of
band 2 (c) Local energy density in ... (a) Electric field of band 1; (b) electric field of
band 2; (c) electric-field energy density ε |E|2/8π of band 1; (d) electric-field ...
The field patterns of the TM modes of the first band (dielectric band) and second
band (air band) are shown in figure 3. ... As we found in chapter 2, a mode
concentrates most of its electric-field energy in the high-ε regions in order to