Self-consistent analysis of three-dimensional uniformly charged ellipsoid with zero emittance

摘要

A self-consistent treatment of a three-dimensional ellipsoid with negligible emittance in the time-dependent external field is performed. Envelope equations describing the evolution of an ellipsoid boundary are discussed. For a complete model, it is required that the initial particle momenta be linear functions of the coordinates. Numerical examples and verification of the problem by three-dimensional particle-in-cell simulations are given. (C) 2001 American Institute of Physics. [References: 7]