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Photonic Crystals: Mathematical Analysis and Numerical Approximation

Photonic Crystals: Mathematical Analysis and Numerical Approximation
Catalogue Information
Field name Details
Dewey Class 510 (DDC 23)
Title Photonic Crystals: Mathematical Analysis and Numerical Approximation (EB) / by Willy Dörfler, Armin Lechleiter, Michael Plum, Guido Schneider, Christian Wieners.
Author Dörfler, Willy
Added Personal Name Lechleiter, Armin author.
Plum, Michael author.
Schneider, Guido author.
Wieners, Christian author.
Other name(s) SpringerLink (Online service)
Publication Basel : Birkhäuser , 2011.
Physical Details VIII, 162 pages : online resource.
Series Oberwolfach Seminars ; 42
ISBN 9783034801133
Summary Note This volume collects a series of lectures which provide an introduction to the mathematical background needed for the modeling and simulation of light, in particular in periodic media, and for its applications in optical devices. The 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.:
Contents note Preface -- 1 Introduction -- 2 Photonic bandstructure calculations -- 3 On the spectra of periodic differential operators -- 4 An introduction to direct and inverse scattering theory -- 5 Nonlinear optics -- Bibliography.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
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