Dr Jonathan Gratus

Senior Lecturer

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.

Cockcroft Phase 3: Year 2-4
01/04/2018 → 30/09/2021

Accelerator Physics, Mathematical Physics

  • Accelerator Physics
  • Cockcroft Institute
  • Mathematical Physics
  • Quantum Technology Centre