Buch, Englisch, Band 42, 162 Seiten
Reihe: Oberwolfach Seminars
Buch, Englisch, Band 42, 162 Seiten
Reihe: Oberwolfach Seminars
ISBN: 978-3-0348-0112-6
Verlag: Birkhäuser
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Naturwissenschaften Physik Elektromagnetismus Quantenoptik, Nichtlineare Optik, Laserphysik
- Interdisziplinäres Wissenschaften Wissenschaften Interdisziplinär Naturwissenschaften, Technik, Medizin
- Technische Wissenschaften Technik Allgemein Nanotechnologie
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
Weitere Infos & Material
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.
