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Item Details
Title: PHOTONIC CRYSTALS
MATHEMATICAL ANALYSIS AND NUMERICAL APPROXIMATION
By: Willy Dorfler, Armin Lechleiter, Michael Plum
Format: Paperback

List price: £26.99


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ISBN 10: 3034801122
ISBN 13: 9783034801126
Publisher: SPRINGER BASEL
Pub. date: 18 May, 2011
Series: Oberwolfach Seminars 42
Pages: 162
Description: This book covers computation of the bandstructure of photonic crystals to detect and forecast transmissions, to find new materials with prescribed band gaps, to recover crystal properties from scattered data and study the behaviour of wave packets, and more.
Synopsis: This book concentrates on the mathematics of photonic crystals, which form an important class of physical structures investigated in nanotechnology. Photonic crystals are materials which are composed of two or more different dielectrics or metals, and which exhibit a spatially periodic structure, typically at the length scale of hundred nanometers. In the mathematical analysis and the numerical simulation of the partial differential equations describing nanostructures, several mathematical difficulties arise, e. g., the appropriate treatment of nonlinearities, simultaneous occurrence of continuous and discrete spectrum, multiple scales in space and time, and the ill-posedness of these problems. This volume collects a series of lectures which introduce into the mathematical background needed for the modeling and simulation of light, in particular in periodic media, and for its applications in optical devices.
Illustrations: biography
Publication: Switzerland
Imprint: Springer Basel
Returns: Returnable
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