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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localized in the rod layer is TM-like in its mid-plane, and the mode that is
localized in the hole layer is TE-like in its mid-plane. For this reason, we plot only
the vertical (z) component of E for the rod-layer mode, and the vertical component
of H ...
The discrete guided modes are labelled according to their symmetry as
described in the text, with the fundamental E and ... If we look away from the
mirror plane, then by continuity the fields should be mostly TE-like and TM-like,
as long as the ...
E (o,1) mode mode E(o,2) positive negative H z field Figure 6: Cross sections of
Hz for lowest-order TE-like modes from figure 5 at the Brillouin-zone edge, k =7/a.
Left: first band (lower edge of gap). Right: second band (upper edge of gap).
(TE-like). odd. (TM-like). z. E. Figure 7: Schematic depiction of electric field lines (
E) for a thin dielectric structure (gray shading) with a z=0 mirror symmetry plane.
Modes that are even with respect to this mirror plane (left) are TE-like: E is mostly
30 25 ) 20 Holes (TE-like) Rods (TM-like) 15 10 5 0 0 0.5 1 1.5 2 2.5 3 Slab
Thickness (a) %(eizSpaG Figure 3: The size of the gap in the guided modes (gap/
midgap ratio) of the rod and hole slabs from figure 2 (inset), as a function of the