FDTD Analysis of Beam-Wave Interaction
In the theoretical treatment of beam-wave interactions, the fluid model or the single-particle model has been used for representing the relativistic electron beam, as described in the foregoing chapters. However, it is very difficult to clarify the details of complicated beam-wave interactions, which are generally nonlinear in essence, only with the aid of purely theoretical approaches based upon either of these models. In fact, with the rapid development of digital computers in recent years, computer simulation has become a powerful tool for the research of nonlinear physical phenomena in various electron beam devices. In this chapter, we describe a typical branch of computer simulation, what is called particle simulation [8.1–8.3], which treats resonant interactions between a collection of charged particles and electromagnetic waves in plasmas or electron beams. In this method, the Maxwell equations and the relativistic equation of motion are discretized in space and time for numerical analysis of electromagnetic wave propagation and particle motion. Thus the interaction of a collection of charged particles and electromagnetic waves is temporally followed with the aid of the finite-difference time-domain (FDTD) method [8.4, 8.51.
KeywordsPermeability Eter Tempo
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