Mathematics Colloquium: Professor Martijn De Sterke
Topic: Pure Quartic Solitons
Solitons are stable pulse-like solutions that can propagate in nonlinear media with dispersion. In an optical context solitons are high-intensity light pulses propagating in a waveguide. In the simplest and best known geometry the dispersion is quadratic.
Over the years many variations have been investigated, for example the effects of small amounts of additional higher order dispersion and that of more complicated nonlinearities. We have recently investigated high-intensity pulse propagation in media with a Kerr nonlinearity and with quartic dispersion, in which the group velocity depends on the third power of frequency, and in which lower-order dispersion is negligible. This work was inspired by our experimental observation of stable pulses, which we refer to as Pure Quartic Solitons, in waveguides with such properties.
In this presentation I will review the experimental evidence for the existence of pure quartic solitons and will then provide an update of our ongoing theoretical work on the pulse propagation media in which cubic dispersion dominates.
About the speaker
Professor Martijn De Sterke (University of Sydney)
Professor de Sterke began his studies in Physics and Engineering where he graduated cum laude at Delft in the Netherlands, and he completed his PhD in optics at Rochester in the USA. He has held positions around the world including Toronto and is now a Professor at The University of Sydney. He was awarded the Pawsey Medal, by the Australian Academy of Sciences, and he is a Fellow of the Optical Society of America.