Time Dependent Internal Electromagnetic Pulse for Spherical and Cylindrical Symmetry.
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Time varying charge densities and electric fields caused by the symmetric inward emission of electrons are computed for the interior of a hollow sphere and cylinder. The Vlasov equation is derived in spherical and cylindrical coordinates. A quasi-static assumption is made. Electric fields are computed at the end of each time step. Several different methods of obtaining the charge density and field at each time step are discussed, all based on tracing characteristic curves of the Vlasov equation. The simplest of these methods is implemented. The distribution is stored in a discretized phase space, and particles are redistributed to phase points at the end of each time step. A coarse grid is used and numerical techniques are designed so as to expend minimal computer resources. A Maxwellian input distribution is assumed and several sample results are presented. Author
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