Cherenkov radiation in dielectric-loaded waveguides and cavities

Summary form only given. In this research a self-consistent solution for the particle wave interaction inside RF cavities is presented. It is based on expanding the electromagnetic fields inside the RF cavity in terms of solenoidal and irrotational modes in a canonical cavity1-3. Using these field expansions in Maxwell´s equations gives a system of ordinary differential equations of the mode amplitudes, and when combined with equations of motion describes a self-consistent solution of the wave-particle interaction. The electromagnetic energy is extracted through waveguide ports, through projecting the cavity modes on the waveguideones4-5. This technique can be called Particle in Mode(PIM), as the interaction problem is solved for particle positions and momenta, together with mode amplitudes describing the fields. The technique is used to simulate the charge Cherenkov radiation in dielectric loaded waveguide, where the results are compared with CST PIC simulation. Another interesting problem that can be solved is the Virtual Cathode Oscillator (Vircator). In both problems, the cavity is a cylindrical cavity with its end connected to a waveguide having the same radius as that of the cavity. The length of the cavity determines the simulation time period such that the particles collide and die on the outer wall before reaching the waveguide port or at least the simulation stops before any particle can reach the output port.