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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quantum-mechanical problem of a particle in a box (as in Liboff, 1992) and the
electromagnetic problem of microwaves in ... and. Quantum. Mechanics.
Compared. As a compact summary of the topics in this chapter, and for the
benefit of those ...
Table 1 Quantum Mechanics Electrodynamics Field F(r,t) = F(r)e−iEt/ H(r,t) = H(r)
e−iωt Eigenvalue problem ( ωc ) 2 H HFˆ = EF 卷Hˆ = Hermitian operator Hˆ = −
2m2∇2 + V(r)卷ˆ =∇× ε(r)1∇ × Comparison of quantum mechanics and ...
Table 1 Quantum Mechanics Electrodynamics Discrete translational symmetry V(
r) = V(r+R) ε(r) = ε(r+R) Commutation relationships [H,ˆ TˆR] = 0 [卷,ˆ TˆR ] = 0
Bloch's theorem Fkn (r)eik·r Hkn (r)eik·r (r) = ukn (r) = ukn Quantum mechanics vs.
THE TEXT, especially in chapters 2 and 3, we make several comparisons
between our formalism and the equations of quantum mechanics and solid-state
physics. In this appendix, we present an extensive listing of these comparisons.
Table 1 Quantum Mechanics in a Electromagnetism in a Periodic Periodic
Potential (Crystal) Dielectric (Photonic Crystal) What is the “key function” that The
scalar wave function, F(r,t). The magnetic vector field H(r,t). contains all of the ...