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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... waveguide Designing a cavity A Narrow-Band Filter Temporal Coupled-Mode
Theory The temporal coupled-mode equations The filter transmission A
Waveguide Bend A Waveguide Splitter A Three-Dimensional Filter with Losses
We will provide examples of filters, which only transmit light within a specified
frequency band; bends, which guide light around a sharp corner; and splitters,
which divide a waveguide into two. Finally, we will consider further the
applications of ...
They are valid for any filter satisfying our assumptions; the details matter only in
determining the values of ω0 and τl. This approach is easily generalized to
include more than two wave guides, radiative losses, and so on, as we will see.
For example, suppose that we want to modify our filter structure of figure 8 to
radiate 100% of incident light at ω0, and to reflect other frequencies. In that case,
transmission to the output waveguide is considered a loss. We can eliminate it by
6 5 T = 100% P / P T U O b 4 3 2 1 0 0 5 10 15 20 25 PIN /Pb Figure 11: Output
versus input power, in units of a characteristic power Pb, for the filter of figure 12
when a Kerr nonlinearity is included in the cavity: the frequency of the cavity shifts