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A new iteration scheme for numerical solution of the Poisson–Vlasov system of equations is used to investigate parametric dependence of optics in single-stage ion sources with fixed or similar geometry. Ion optics is found always to be aberration dominated for any reasonable low emittance. Ion temperatures strongly affect the transparency and the optics. The electron temperature has little effect, meaning that out of six physical parameters governing the ion optics only two combinations are important—an ion temperature parameter and the perveance.
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Whealton et al. (1977) studied this question.
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