The Electrostatic Potential Inside a Hemisphere: Its Use as an Electron Energy Analyzer and as a Triode Electronic Device.
Abstract:
The Dirichlet Greens function for the interior of a hemisphere has been found and an integral expression for the electrostatic potential is given. A computer program has been written to calculate the potential and plot equipotential lines for cases with azimuthal symmetry in internal charge distribution and surface potential. Graphs of phi are given for an evacuated hemispherical chamber where the walls are divided into three elements. This triode configuration can be used as a vacuum tube device or as a retarding potential analyzer. The use of the device as an energy analyzer is discussed and methods for calculating its spectral response are given. A particular model of the device has been successfully used to measure low-energy electron emission due to high energy radiation. Author