Timothy Walton - Research Portal | Lancaster University

As part of the Mathematical Physics Group, my main area of research has been in classical and quantum electrodynamics, and its application to accelerator science. In particular, my work has focused on the interaction of electromagnetic fields with matter, which has relevance to laser plasma acceleration.

The natural mathematical language to explore such phenomena on spacetime is exterior differential geometry, which our group heavily exploits to elucidate these and a wider array of problems in relativistic and Newtonian spacetime physics.

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Publications & Outputs

Published
On the computation of Casimir stresses in open media and Lifshitz theory
Goto, S., Tucker, R. & Walton, T. 09/2013 In : Journal of Physics A: Mathematical and Theoretical. 46, 40, 32 p.405301
Research output: Contribution to journal › Journal article
Published
Numerical regularization of electromagnetic quantum fluctuations in inhomogeneous dielectric media
Goto, S., Hale, A., Tucker, R. & Walton, T. 30/03/2012 In : Physical Review A. 85, 3, 4 p.034103
Research output: Contribution to journal › Journal article
Published
Exploring Born-Infeld electrodynamics using plasmas.
Burton, D. A., Trines, R. M. G. M., Walton, T. & Wen, H. 10/02/2011 In : Journal of Physics -London- a Mathematical and General. 44, 9, 11 p.095501
Research output: Contribution to journal › Journal article