There is described an optical phase modulator generally having a substrate; a waveguide mounted to the substrate and extending along a path of the substrate, the waveguide having a first series of phase shift units distributed along the waveguide, each phase shift unit having two Bragg gratings being spaced apart from one another along the path and a cavity between the two spaced-apart Bragg gratings; and a modulation circuit configured for driving a length of the series of phase shift units of the waveguide in accordance with a modulation signal thereby modulating a refractive index of the waveguide to induce a phase shift to an optical signal propagating along the waveguide.