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Current Postgraduate Research Students

Jonathan Gratus supervises 3 postgraduate research students. If these students have produced research profiles, these are listed below:

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Dr Jonathan Gratus

Senior Lecturer

Jonathan Gratus

Physics Building



Tel: +44 1524 594980

Research Interests

I am investigating the mathematics for modeling of charged particles and electromagnetic fields in particle accelerators. These may be conventional vacuum accelerators, for example as in the LHC at CERN or the new type of laser driven plasma wakefield accelerators. Here a powerful laser pulse enters a plasma and creates a bunch of high energy electrons.(See here)

I am interested in Coherent Synchrotron Radiation (CSR), Beam plasma interaction, Ultra-relativistic approximations, the Maxwell-Vlasov equations and the Klimontovich distribution.

I am also investigating the nature of the stress-energy-momentum tensor associated with the electromagnetic field in a medium.


I have recently written up "A pictorial introduction to differential geometry,
leading to Maxwell’s equations as three pictures." This will be useful for all students of general relativity and differential geometry. It can be found here.

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