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 general, the sharper the bend, the greater the radiation loss. In a low-contrast
optical fiber, a bend radius of less than a few centimeters will result in nearly
complete radiation loss, whereas for a high-contrast waveguide on a chip, the ...
There are two ways to approach cavity radiation loss in coupled-mode theory,
both of which lead to the same result. The first way is to treat the radiation loss as
simply another output port coupled to the cavity (similar to the splitter). Because a
Although most of it is radiated, part of it is reflected because the radiation loss
spoils our zero-reflection condition. In particular, if we solve for the reflection
spectrum R(ω) similar to equation (11), we find that the reflection R(ω0) at
resonance is ...
losses be (say) 1% at most, then we must make sure that the reflection–radiation
loss from the semi-infinite crystal is well under 1%, in addition to the 2Q/Qr cavity
losses above. In the structure of figure 8, the reflection–radiation loss from a ...
The result is that τ1 =τ r in order to maximize radiation on resonance, ideally
achieving 100% radiation. ... Therefore, just as in our original filter design, we find
that the condition for 100% radiation loss on resonance is that the two decay