Photonic Crystals: Mathematical Analysis and Numerical Approximation (Oberwolfach Seminars 42)

Photonic Crystals: Mathematical Analysis and Numerical Approximation (Oberwolfach Seminars 42)

By: Willy Dorfler (author), Michael Plum (author), Christian Wieners (author), Guido Schneider (author), Armin Lechleiter (author)Paperback

Special OrderSpecial Order item not currently available. We'll try and order for you.

Description

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 ill-posedness 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.

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.

Product Details

  • ISBN13: 9783034801126
  • Format: Paperback
  • Number Of Pages: 162
  • ID: 9783034801126
  • ISBN10: 3034801122

Delivery Information

  • Saver Delivery: Yes
  • 1st Class Delivery: Yes
  • Courier Delivery: Yes
  • Store Delivery: Yes

Prices are for internet purchases only. Prices and availability in WHSmith Stores may vary significantly

Close