Skip to content

Toggle service links

You are here

  1. Home
  2. Dr Katrine Rogers

Dr Katrine Rogers

Profile summary

  • Regional Academic Staff
  • Staff Tutor
  • Faculty of Science, Technology, Engineering & Mathematics
  • School of Mathematics & Statistics
  • k.s.rogers

Professional biography

I am a regional academic (staff tutor) in the Applied Maths group, where I am primarily involved in Level 3 applied maths modules. I contribute to module teams, manage associate lecturers and continue my research activity. Previously I was at the University of Southampton, applying maths first in Physics and Astronomy and then at the Institute for Sound and Vibration Research (ISVR).

Research interests

My research interests are in mathematical and numerical modelling, including optimisation. I am currently working on optimising superoscillations for optical imaging and applications more generally. 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 has included mathematical modelling of a range of applications, from modelling wave propagation in structural engineering to modelling electron and photon interactions in the vicinity of black holes. A recurring theme is novel approaches to the numeric solution of differential equations, with work on finite element methods, genetic algorithms, semi-analytic techniques and Fourier theory.

Teaching interests

I am currently involved in the following modules: M373 (Optimisation) (I am module team chair), MS327 (Deterministic and Stochastic Dynamics), M374 (new module) and MST224 (Mathematical Methods).

External collaborations

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).

Publications

Far-Field Superoscillatory Metamaterial Superlens (2019-06-07)
Yuan, Guanghui; Rogers, Katrine S.; Rogers, Edward T. F. and Zheludev, Nikolay I.
Physical Review Applied, 11, Article 64016
Optimising superoscillatory spots for far-field super-resolution imaging (2018-04-02)
Rogers, Katrine S.; Bourdakos, Konstantinos N.; Yuan, Guang Hui; Mahajan, Sumeet and Rogers, Edward T. F.
Optics Express, 26(7) (pp. 8095-8112)

Meet our Academics

Head and shoulders of male OU academic

In addition to teaching on Open University modules our academics are engaged in ground breaking research that benefits individuals and society.

Request your prospectus

Request a prospectus icon

Explore our qualifications and courses by requesting one of our prospectuses today.

Request prospectus

Are you already an OU student?

Go to StudentHome