Surface Currents on a Conducting Sphere Due to a Non-Isotropic Emitted Pulse of Electrons.
Abstract
Equations for the surface currents on a perfectly conducting sphere are developed in terms of the motion of a pulse of electrons emitted from the exterior surface of the sphere. The motions of the emitted electrons are determined self-consistently by using Green's function techniques to solve for the electric and magnetic fields in the space surrounding the sphere. The problem assumes that the electrons are emitted non-relativistically with azimuthal symmetry, and that the fields are essentially quasi-static in character. The resulting integral equations are solved using a mixture of analytical and numerical techniques. A specific example is worked out assuming uniform emission over one hemisphere by a delta function pulse of electrons with an energy distribution in the kev range. The results are presented graphically for a variety of emission currents, and it was found that this technique will provide useful results for emission pulse densities below 10 coulombs per square meter. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1973
- Accession Number
- AD0757190
Entities
People
- James J. Harvey Jr
Organizations
- Air Force Institute of Technology