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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What may be surprising, however, is that the peak transmission is precisely 100%
. The field pattern for transmission at resonance is shown in the bottom panel of
figure 4. If we shift the frequency by only 1%, the transmission drops to less than ...
And, remarkably, it is possible to arrange for the reflection loss to be zero, as
illustrated in the top-left panel of figure 6. At certain frequencies, a photonic-
crystal bend can exhibit 100% transmission even when the bend “radius” is
smaller than ...
Using equations (13) and (6) with s2+ = s3+ = 0 and solving for the reflection and
transmission spectra as before, gives R(ω) = |s 1− |2 = (ω − ω0)2 + ( 1τ1−1τ2−1 )
2 τ3 ( ) |s 1+ (ω − ω0 (14) for reflection back into waveguide 1, T 1→2 |2 )2 + 1τ1 ...
(18) l=1 l=1 √ These equations can then be solved to find the transmission
spectrum, as in equation (12). Again, τ1 = τ2 by symmetry, and we denote the
total decay rate into the input/output waveguides by 1/τw = 1/τ1 + 1/τ2 (with Qw ...
Left: Theory, showing transmission peak in gap and broad Fabry–Perot
oscillations outside gap. Right: Experiment, showing transmission for two defect
separations d =1.26a (left, Q = 310) and d =1.41a (right, Q = 336). different