Nonlinear Optics

Extremely important applications of Nonlinear Science are made in nonlinear optics. Thus propagation and spatial evolution of light beams in nonlinear media is a central area. Exact 1+1 dimensional solitary wave solutions to the nonlinear Schrödinger equation were found more than 20 years ago. Such solitons will play an important role in the next generation of optical communication systems which will operate in the 100 Gbits/sec and higher regimes. At the moment such bit transmission rates can be obtained in purely optical systems, whereas electronic detectors and converters constitute an unsolved technological problem.

There is a growing interest in solitonlike structures in 2 and 3 spatial dimensions. These are generally unstable and may undergo catastrophic collapse in finite time. Combined theoretical, numerical, and experimental studies include:

The research is carried out in collaboration with The Microelectronic Center which has contacts with Danish industry.