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A vinylidene fluoride‐tetrafluoroethylene copolymer jacket, 120 μm thick, was melt extruded on single‐mode optical fibers, 80 μm diam. The jacket was made piezoactive by poling radially. The performance of the fiber as an optical phase modulator was demonstrated over a wide frequency range, from 300 Hz to 2.5 MHz. A phase shift of 0.03 rad per volt per meter of fiber was measured in the low frequency (axially unconstrained) region, and 0.01 rad/V/m in the high frequency (axially constrained) region. A theoretical model was developed, relating the phase shift in the fiber to the elastic and piezoelectric porperties of the jacket material.