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.
Results 1-5 of 5
2 Electromagnetism in Mixed Dielectric Media IN ORDER TO STUDY the
propagation of light in a photonic crystal, we begin with the Maxwell equations.
After specializing to the case of a mixed dielectric medium, we cast the Maxwell ...
A similar equation relates B(r) = μ0μ(r)H(r) (where μ0 = 4π × 10−7 Henry/m is the
vacuum permeability), but for most dielectric materials of interest the ... (In
general, With all of these assumptions in place, the Maxwell equations (1)
In both cases, the modes of the system are determined by a Hermitian
eigenvalue equation. ... It is possible to achieve a similar separation of the
Maxwell equations in two dimensions, or in systems with cylindrical symmetry,
but even in these ...
Band diagrams, transmission spectra, field patterns, and other results do not just
spring forth from the equations. Considerable effort has gone into the numerical
solution of the Maxwell equations. Although our focus in this book has been on ...
Arguably the most general numerical methods for electromagnetism are those
that simulate the full time-dependent Maxwell equations, propagating the fields in
both space and time. Such time-domain methods can easily support strongly ...