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Photonic Crystals: Mathematical Analysis and Numerical Approximation

eBook - Oberwolfach Seminars
Wieners, Christian/Plum, Michael/Dörfler, Willy et al
BIRKHÄUSER
ISBN/EAN: 9783034801133
Umbreit-Nr.: 1802593

Sprache: Englisch
Umfang: 162 S., 6.47 MB
Format in cm:
Einband: Keine Angabe

Erschienen am 18.05.2011
Auflage: 1/2011


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Format: PDF
DRM: Digitales Wasserzeichen
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  • Zusatztext
    • <p><p>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.</p></p><p></p><p><p>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.</p></p><p></p><p><p>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.</p></p>
  • Kurztext
    • 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.