A theoretical analysis of the positional accuracy of an LDA measuremen
t volume using an off-axis alignment of a probe relative to an interna
l flow has been carried out. General performance parameters of measure
ments with a 1D-probe with an off-axis alignment are derived. In parti
cular, the change in the fringe spacing, the relationship between the
shift of the measurement volume and the probe movement, and the genera
l 2-dimensional traversing properties of the measurement volume are co
nsidered. The displacement between the two LDA measurement volumes of
a 2D-probe caused by astigmatism has been determined from exact calcul
ations of the laser beam transmission. The benefits of a water-filled
prism to ensure the coincidence of the measurement volumes and to redu
ce the effect of astigmatism on the data rate and the distortion of th
e measurement volume has been shown. A calculation procedure for the u
se of such a prism is given.