An optical fiber interferometer comprising a coupler optically connected with a sampling arm and a reference arm, each of said arms including an optical fiber part, one of said arms comprising a first optical fiber piezoelectric transducer, said sampling arm having an optical probe, said first transducer comprising at least one body (a) having piezoelectric properties and (b) exhibiting a perpendicular inverse piezoeffect, said first transducer having electrodes, said first transducer having an electric field vector when an electric field is applied to said electrodes, said body having a thickness in a direction substantially aligned with said electric field vector and having a width in a direction substantially perpendicular to said electric field vector, said thickness being substantially smaller than said width, an optical fiber being mechanically connected with said body effective to allow changing of the optical length of the interferometer arm comprising said first transducer by at least several tens of operating wavelengths of the interferometer, said first transducer serving as a scanning element, wherein said first optical fiber piezoelectric transducer comprises a piezoelectric plate with electrodes located on first and second opposite surfaces of said plate, a first optical fiber part of said interferometer arm comprising said first transducer being mechanically connected to said first surface of said piezoelectric plate so that the optical length of said arm comprising said first transducer can be varied.