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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The modes of 卷ˆ Tdε(r) = ε(r−d) = ε(r), or equivalently, can now be classified
according to how they behave A system with under all of the Tˆd continuous 's for
that direction. translation symmetry in the z direction is invariant What sort of
If the glass extends much farther in the x and y directions than in the z direction,
we may consider this system to be one-dimensional: the dielectric function ε(r)
varies in the z direction, but has no dependence on the in-plane coordinate P.
a z Figure 5: A dielectric configuration with discrete translational symmetry. If we
imagine that the system continues forever in the y direction, then shifting the
system by an integral multiple of a in the y direction leaves it unchanged.
The term “one-dimensional” is used because the dielectric function ε(z) varies
along one direction (z) only. The system consists of alternating layers of materials
(blue and green) with different dielectric constants, with a spatial period a.
THAT WE HAVE discussed some interesting properties of one-dimensional
photonic crystals, in this chapter we will see how the situation changes when the
crystal is periodic in two directions and homogeneous in the third. Photonic band