ENGLISH

Photonic Crystals: Mathematical Analysis and Numerical Approximation

By Michael Plum , Armin Lechleiter , Willy Dörfler , Guido Schneider , Christian Wieners (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2011
ISBN
3034801122, 9783034801126
DOI
10.1007/978-3-0348-0113-3
Google Books ID
i2knVWH6tCwC
Language
english
Format
PDF
Filesize
6 MB (6081693 bytes)
Series
Oberwolfach Seminars 42
Edition
1
Pages
162\172
Topic
Physics Optics
Orientation
yes
Scanned
no
Time added
2012-02-14 18:00:00
generalMathematics

Description

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.

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