  We report the first-time use of the Aqueye+ and Iqueye instruments to record
lunar occultation events. High-time resolution recordings in different filters
have been acquired for several occultations taken from January 2016 through
January 2018 with Aqueye+ at the Copernicus telescope and Iqueye at the Galileo
telescope in Asiago, Italy. Light curves with different time bins were
calculated in post-processing and analyzed using a least-square model-dependent
method. A total of nine occultation light curves were recorded, including one
star for which we could measure for the first time the size of the chromosphere
($\mu$ Psc) and one binary star for which discrepant previous determinations
existed in the literature (SAO 92922). A disappearance of Alf Tau shows an
angular diameter in good agreement with literature values. The other stars were
found to be unresolved, at the milliarcsecond level. We discuss the unique
properties of Aqueye+ and Iqueye for this kind of observations, namely the
simultaneous measurement in up to four different filters thanks to pupil
splitting, and the unprecedented time resolution well exceeding the microsecond
level. This latter makes Aqueye+ and Iqueye suitable to observe not just
occultations by the Moon, but also much faster events such as e.g. occultations
by artificial screens in low orbits. We provide an outlook of future possible
observations in this context.
