Analysis of characteristics of a čerenkov laser via particle simulation

TLDR: In this article, a Cerenkov laser composed of a parallel plate waveguide loaded with a dielectric sheet and a planar relativistic electron beam focused with infinite magnetostatic field was analyzed using particle simulation.

Abstract: Using a method for computer simulation, called particle simulation, this paper investigates in detail nonlinear characteristics (whose analytical treatment has been difficult to date) for a Cerenkov laser composed of a parallel plate waveguide loaded with a dielectric sheet and a planar relativistic electron beam focused with infinite magnetostatic field. The main results obtained here are summarized as follows. First, the growth of an electromagnetic wave is found to be due to energy transfer from the kinetic energy of an electron beam to the electromagnetic energy. Initially, the amplitude of an electromagnetic wave grows exponentially, and then nonlinearity gradually begins to dominate as electrons composing the electron beam are trapped in the electric field of the electromagnetic wave. In the final stage where most of the electrons are trapped, the amplitude of the electromagnetic wave gets saturated. In the early stage where the wave amplitude grows exponentially, the results obtained from particle simulation agree well with those obtained from linear analysis. In this paper, the efficiency of energy conversion from the electron beam to the electromagnetic wave is also estimated with the use of the energy carried by the electromagnetic wave at saturation.