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.