Space charge-limited emission studies using Coulomb's Law

Autor:	Carr, Christopher G.
Rok vydání:	2004
Předmět:	Space charge Electric fields Differential equations Nonlinear Electrons Emission
Druh dokumentu:	Diplomová práce
Popis:	Approved for Public Release; Distribution is Unlimited Child and Langmuir introduced a solution to space charge limited emission in an infinite area planar diode. The solution follows from starting with Poisson's equation, and requires solving a non-linear differential equation. This approach can also be applied to cylindrical and spherical geometries, but only for one-dimensional cases. By approaching the problem from Coulomb's law and applying the effect of an assumed charge distribution, it is possible to solve for space charge limited emission without solving a non-linear differential equation, and to limit the emission area to two-dimensional geometries. Using a Mathcad worksheet to evaluate Coulomb's law, it is possible to show correlation between the solution derived by Child and Langmuir and Coulomb's law. Ensign, United States Navy
Databáze:	Networked Digital Library of Theses & Dissertations
Externí odkaz:	http://hdl.handle.net/10945/1175 Zobrazit plný text záznamu