Abstract
The divergent-lens effect of the electrode aperture (slit or hole) on high-intensity ion beams, where the space charge cannot be neglected, are calculated to a first approximation with the help of basic physical laws. Simple relations are derived for the effective lens power resulting from these phenomena and for the location of the final virtual object to be imaged in the collector region. Results are given both for concentric-cylinder (slit) and radially symmetric (hole) configurations.
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