Photonic crystals : mathematical analysis and numerical approximation
 Language
 English.
 Imprint
 Karlsruhe : Birkhäuser, c2011.
 Physical description
 viii, 162 p. : ill. (some col.) ; 24 cm.
 Series
 Oberwolfach seminars ; v. 42.
Access
Contributors
 Contributor
 Dörfler, Willibald.
Contents/Summary
 Bibliography
 Includes bibliographical references.
 Contents

 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.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 illposedness 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2011
 Responsibility
 Willy Dörfler ... [et al.].
 Series
 Oberwolfach seminars ; v. 42
 ISBN
 9783034801126
 3034801122
 3034801130