A broadband opto-mechanical phase shifter for photonic integrated circuits isproposed and numerically investigated. The structure consists of amode-carrying waveguide and a deformable non-mode-carrying nanostring, whichare parallel with each other. Utilizing the optical gradient force betweenthem, the nanostring can be deflected. Thus the effective refractive indices ofthe waveguide is changed with the deformation, and further causes a phaseshift. The phase shift under different geometry sizes, launched powers andboundary conditions are calculated and the dynamical properties as well as thethermal noise's effect are also discussed. It is demonstrated that a $\pi$phase shift can be realized with only about 0.64 mW launched power and 50 $\mum$ long nanostring. The proposed phase shifter may find potential usage infuture investigation of photonic integrated circuits.
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