A field-plotting and ray-tracing technique based on electron-optical methods is developed for first-order ion optics of slit lenses and is applied to a Nier-type thick lens. A resistance paper analog gives the distribution of electrostatic potential. Maxwellian velocities of ions emitted from the filament and lens thickness affect ion trajectories, which are calculated to a few percent accuracy by a simple approximation technique. Paraxial ray paths are shown and the ion-focusing action of the single filament is described. Optimum detectability, 100 counts of the smallest isotope, is 5×10−15 g for uranium and 2×10−15 g for plutonium. Ionization at moderate temperatures improves transmission and avoids background impurities which appear at temperatures above 2000°C. Independent electrostatic focusing in the z direction improves transmission through the analyzer.
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L. A. Dietz (1959) studied this question.
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