DE | EN
Home
About Us
Overview
Facts and Figures
Organization
Scientists
Contact
Approach
Situations offered
Research
Overview
Application Fields
Projects
Publications
Scientists
Preprints
Institutional Cooperation
Archiv 02-14
Transfer
Overview
Industry
References
MODAL-AG
Spin Offs
Software
Patents
Schools
Overview
MathInside
MATHEATHLON
Matheon-Kalender
What'sMath
Training for Teachers
Summer Schools
Events
Press
Overview
Releases
News
Overview
Matheon Head
Number of the week
News 2002 - 2014
Activities
Overview
Workshops
15 Years Matheon
Media
Overview
Photos
Videos
Audios
Booklets
Books
News from around the world

Since 2019, Matheon's application-oriented mathematical research activities are being continued in the framework of the Cluster of Excellence MATH+
www.mathplus.de
The Matheon websites will not be updated anymore.

Optical Technologies

The major challenges of our modern world lie in the fields of health, environment, energy, production, and security. Scientific progress and innovation in these areas are essentially driven by the generation and manipulation of photons – e.g. in photonic devices, data transmission, sensors, high-resolution microscopy, or the manipulation of biological and other materials, or even the the manipulation of light by light.

That is why photonics is one of the key technologies of the 21st century. Major strategic plans of the German Federal Ministry of Education and Research BMBF (Agenda Photonik 2020), of the European Commission (Strategic Research Agenda - Lighting the way ahead), of the European Technology Platform Photonics21, and of the U.S. government (Harnessing Light II – Photonics for 21st Century Competitiveness) acknowledge this trend. The BMBF Agenda Photonik 2020 confirms that optical technologies are Germany's most important future technologies, even more important than the pharmaceutical industry.

Mathematics plays a key role in optical technologies: It serves as the most precise microscope one can think of. The simulation of photonic structures helps creating more efficient devices, and mathematical modeling and simulation leads to a better understanding of light-matter interaction, including engineering of open quantum systems.

The methods in this application field span a whole range of mathematical disciplines, from mathematical physics as the modelling language, theory and numerical simulation of partial differential equations to solve high dimensional and multiscale problems to applied stochastics.



Topics

  • Photonic structures (Waveguides, Photonic Crystals)
  • Semiconductor lasers
  • Nonlinear Wave Equations, Solitons
  • Complex nonlinear spatio-temporal dynamics
  • Numerical Methods for Maxwell Equations
  • Semiconductor Transport for Devices with Nanostructures
  • Open Quantum Systems