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We show nanoscopic transmission microscopy, using a deterministic singleparticle source and compare the resulting images in terms of signal-to-noiseratio, with those of conventional Poissonian sources. Our source is realized bydeterministic extraction of laser-cooled calcium ions from a Paul trap. Gatingby the extraction event allows for the suppression of detector dark counts bysix orders of magnitude. Using the Bayes experimental design method, thedeterministic characteristics of this source are harnessed to maximizeinformation gain, when imaging structures with a parametrizable transmissionfunction. We demonstrate such optimized imaging by determining parameter valuesof one and two dimensional transmissive structures.

Maximizing the information gain of a single ion microscope using bayes experimental design