Nonlinear analysis of Cherenkov free-electron laser with double-slab structure

A compact Cherenkov free-electron laser is studied for a double-slab structure with no incident field or electromagnetic feedback mechanism. The simplified model is composed of a rectangular wave-guide partially filled with two lined parallel dielectric slabs and a sheet electron beam. The interaction between the electron beam and the electromagnetic mode is described with the macro-particle approach. The coupled equations are derived and solved numerically with the parameters of an ongoing experiment, demonstrating the amplification of emitted power from spontaneous emission.