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 3 includes a section describing the basics of index guiding and a section
on how to understand the ... Appendix C now includes plots of gap size and
optimal parameters vs. index contrast for both 2D and 3D photonic crystals.
The ”core” is really just the location of a missing hole in the center.4 One might
hope that it would be sufficient to consider only some “average” index contrast
between core and cladding, but in fact a full understanding of this case requires
an ...
In an ordinary indexguided waveguide, as one goes to higher and higher ω (
smaller wavelength λ), more and more guided ... The reason is that the effective
index contrast between the core and the cladding in the holey fiber decreases at
...
Moreover, this band gap will appear not only for silica/air structures, but for any
index contrast with the same geometry, as long as we go to a large enough kz. In
this case, the first two “LP” bands in the scalar limit correspond to four vectorial ...
We will do this both for dielectric columns in air, and for air columns in dielectric,
both with a dielectric contrast of 11.4.1 We will ... The gap maps show the gaps as
a function of radius for a fixed ε ratio of 11.4:1, or an index contrast of 3.38:1.