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.

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Appendix D now provides a completely new description of computational
photonics, surveying computations in both the frequency and time domains. xiv
PREFACE TO THE SECOND EDITION The second edition also Preface to the
Second ...
Computational. Photonics. IN. CHAPTERS 2 AND 3, we presented the equations
of classical electromagnetism, and derived some of the general properties of the
solutions based on symmetry and linear algebra. In the chapters that followed, ...
Indeed, computational photonics has matured so much that many practitioners
have stopped worrying about the finer details of the numerics, and are familiar
only with the general principles and capabilities of the different tools. Here, we
will ...
Third, given an O(N) matrixvector product, the computation time grows as O(Np2
) multiplied by the number of iterations; for p ≪ N, this process is usually much
quicker than the O(N3) explicit solution. A simple example of such an iterative ...
This means that the scattered fields must radiate to infinity instead of reflecting
when they hit the edge of the (finite) computational region. Except for boundary
element methods, in which open boundaries are automatic, this problem is
typically ...