Abstract
Abstract. As a unique type of driving force, the transverse optical gradient force has been extensively studiedand applied in the nanowaveguides resonator. Recently, it is demonstrated that the optical forces in slot wave-guides of hyperbolic metamaterials can be over two orders of magnitude stronger than that in conventionaldielectric slot waveguides. To investigate the nonlinear dynamic characteristic of hyperbolic waveguide reso-nator driven by optical gradient force, a continuum elastic model of the optoresonator is presented and analyti-cally solved using the methods of Rayleigh–Ritz and multiple scales. The results show that the optical force isstrengthened with the increase of the filling ratio of silver in the hyperbolic waveguide. The resonance frequencybecomes greater with the increase of the filling ratio of silver no matter what the geometric parameters andphysical property parameters are. However, the steady maximum vibration amplitude becomes smaller, andthe degree of system stiffness softening also reduces.
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