TY  - BOOK
AU  - 
AU  - 
AU  - 
AU  - 
AU  - 
ED  - SpringerLink (Online service)
TI  - Photonic Crystals: Mathematical Analysis and Numerical Approximation
T2  - Oberwolfach Seminars
SN  - 9783034801133
AV  - QA1-939 
U1  - 510 23
PY  - 2011///
CY  - Basel
PB  - Springer Basel
KW  - Mathematics
KW  - Mathematics, general
N1  - 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; ZDB-2-SMA
N2  - 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 bookconcentrates 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. Inthe 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
UR  - http://dx.doi.org/10.1007/978-3-0348-0113-3
ER  -