Photonic Crystals: Molding the Flow of Light  Second EditionSince it was first published in 1995, Photonic Crystals has remained the definitive text for both undergraduates and researchers on photonic bandgap 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 uptodate, 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 solidstate 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, photoniccrystal slabs, and photoniccrystal 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 threedimensional photonic crystals, an extensive tutorial on device design using temporal coupledmode 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.

From inside the book
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Chapter 4 includes a section on how to best quantify the band gap of a photonic
crystal and a section describing the novel phenomenon of omnidirectional
reflectivity in multilayer film systems. Chapter 5 now contains an expanded
section on ...
Multilayer. Film: A. OneDimensional. Photonic. Crystal. WE. BEGIN OUR STUDY
of photonic crystals by considering the simplest possible case, a one
dimensional system, and applying the principles of electromagnetism and
symmetry that ...
ω ∆k Real ∆k Im a gin ary Figure 6: Schematic illustration of the complex band
structure of the multilayer film. The upper and lower blue lines correspond to the
bottom of band 2 and the top of band 1, respectively. The evanescent states
occur ...
1 0.8 0.6 0.4 ED states DE states 0.2 EE states DD surface states 0 0 0.5 1 1.5 2
2.5 Wave vector kya/2π Figure 14: The xpolarized band structure at the surface
of a multilayer film. The shaded regions describe states that are extended in the ...
The conventional treatment of the multilayer film, including the calculation of
absorption and reflection coefficients, can be found in Hecht and Zajac (1997).
The use of the multilayer films in optoelectronic devices is widespread in current
...