Digital speckle pattern interferometry (DSPI) is applied to obtain the
focal length of both positive and negative lenses, and of a system of
lenses. Reference correlation fringes are generated by rotating a pla
ne wavefront in a Mach-Zehnder like DSPI interferometer. The lens to b
e tested is placed close to the recording medium (a CCD array) after r
ecombining the two branches of the interferometer, and can be axially
displaced. The 'pitch' (number of pixels/cycle) of the fringes varies
with the position of the lens and its absolute location can be elimina
ted from the equations giving rise to a compact expression depending o
nly on the introduced displacement and pitch measurement. A simple alg
orithm allows accurate measurement of the pitch. Experimental results
are presented for several lenses of known focal lengths showing very g
ood agreement with the nominal values. Error analysis is also carried
out, with the resulting experimental relative error being of the order
of 2%. (C) 1998 Elsevier Science B.V. All rights reserved.