Based on a circular are scanning model of piezoelectric tubes, the inf
luence of the tip length mounted on a tube upon the transverse scannin
g and the relation between the vertical and the transverse displacemen
t of the tip are reported. With this simple model one can obtain three
-dimensional features of a piezoelectric tube scanner by just measurin
g the vertical deformation and a few geometric sizes of the tube witho
ut knowing the detailed parameters of the tube. The estimated scanning
by the model may be 15% larger than the actually measured one for a c
ertain piezoelectric tube because of the edge effects of the tube. How
ever, the model can be simply revised on the basis of experiments. (C)
1996 American Institute of Physics.