Surface Currents on a Conducting Sphere Due to a Non-Isotropic Emitted Pulse of Electrons.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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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 Greens 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
- Electricity and Magnetism