Abstract
This article describes a computer-based method to analyze the optics of axially symmetrical, electrostatic, surface-ionization, ion-source configurations. The method can be applied with a personal computer. It employs matrix formulation, which simplifies the solution of a complex system, called the optical stack, by multiplying the transfer matrices of the simpler component systems. The method computes the source efficiency and the beam losses caused by collimation at points upstream, and it plots the luminosity and divergence profiles. One simulates focusing by changing the values for the voltages applied to the electrodes and noting the effect on the luminosity profiles. When the theory is applied to the design of a source that was tested in 1960, it agrees satisfactorily with the experiment and provides new insights.
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