Prof. Noel Frederick Smyth
. Present position: Professor
of Nonlinear Waves,
School of Mathematics, University of Edinburgh.
Education
- B.Sc. (Hons, first class), 1980, University of Queensland
- Ph.D., 1984, California Institute of Technology
Two Solitary Waves Interacting and Fusing in a Nematic Liquid Crystal
Two
Out of Phase Nematicons (Solitary Waves) Forming a Nematicon Dipole in
a Nematic Liquid Crystal
Publications
Workshop: Nonlinear Guided Waves IV, Cadi Ayyad
University, Marrakech, Morocco, 24th to 26th March, 2010.
Workshop: Light Induced Waveguides and their
Applications to Nanophotonics, SASTRA University, Tamil Nadu, India,
7th to 9th December, 2008.
Research Interests
- Nonlinear waves in general
- Nonlinear optics
- Korteweg-de Vries and related equations
- Nonlinear Schrödinger (NLS) and related equations
- Modulation theory
- Nonlinear waves in liquid crystals
- Sine-Gordon equation and its applications
- Nonlinear waves in meteorology and oceanography
Movies
Movies of Soliton Evolution in Two Dimensions
Possible PhD Projects
- Steering of solitons in liquid crystals (nematicons) with a view to developing photonic devices.
- Behaviour of solitons in liquid crystals (nematicons) at
interfaces.
- Interaction of one dimensional solitons in liquid crystals (nematicons).
- Developing higher order corrections to variational methods for the NLS equation incorporating radiation.
- Examining the stability of optical vortices in nonlocal media,
with particular emphasis on liquid crystals.
