skip to main content

SciTech ConnectSciTech Connect

Title: Space charge emission in cylindrical diode

In this paper, a mathematical model to describe cylindrical electron current emissions through a physics approximation method is presented. The proposed mathematical approximation consists of analyzing and solving the nonlinear Poisson's equation, with some determined mathematical restrictions. Our findings tackle the problem when charge-space creates potential barrier that disable the steady-state of the beam propagation. In this problem, the potential barrier effects of electron's speed with zero velocity emitted through the virtual cathode happens. The interaction between particles and the virtual cathode have been to find the inter-atomic potentials as boundary conditions from a quantum mechanics perspective. Furthermore, a non-stationary spatial solution of the electrical potential between anode and cathode is presented. The proposed solution is a 2D differential equation that was linearized from the generalized Poisson equation. A single condition was used solely, throughout the radial boundary conditions of the current density formation.
Authors:
;  [1]
  1. Universidad Autónoma de Cd. Juárez-IIT, Cd. Juárez, Chihuahua, México (Mexico)
Publication Date:
OSTI Identifier:
22252054
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 2; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ANODES; APPROXIMATIONS; BOUNDARY CONDITIONS; CATHODES; CURRENT DENSITY; CYLINDRICAL CONFIGURATION; ELECTRONS; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; POISSON EQUATION; POTENTIALS; QUANTUM MECHANICS; SPACE CHARGE; STEADY-STATE CONDITIONS