Dr Katrine Rogers

Professional biography

My research interests are in mathematical modelling and optimisation. I am currently working on applying the phenomenon of superoscillations to optical imaging. Superoscillation is the phenomenon where a band-limited function oscillates faster than its fastest Fourier component, and it has significant physical implications. One example is in taking images using optical instruments. It was previously thought that the resolution we can achieve in such images was fundamentally limited, but with superoscillations there is, in principle, no limit on the achievable resolution.

My previous research spans a range of applications, from modelling wave propagation in structural engineering to modelling electron and photon interactions in the vicinity of black holes. This has included work on finite element methods, genetic algorithms, semi-analytic techniques and Fourier theory.

I am currently on the following module teams: M373 (Optimisation), MS327 (Deterministic and Stochastic Dynamics) and SM123 (Physics and Space).

I also support Associate Lecturers on MST224 (Mathematical Methods) and MST125 (Essential Mathematics 2).

My main collaborators are Dr E.T.F. Rogers (Optoelectronics Research Centre and Institute for Life Sciences, University of Southampton), Dr K.N. Bourdakos (Institute for Life Sciences and Department of Chemistry, University of Southampton) and G.H. Yuan (Centre for Disruptive Photonic Technologies, Nanyang Technological University, Singapore).