Critical Nonlinear Dissipation for Phase Control of Parametric Resonators
June 18th, 2019 JAMES M. L. MILLER Stanford University

Parametric resonance is a common phenomenon in low dissipation vibrational systems, arising in optical, microwave, and mechanical modes. The phase state of a parametric resonator provides important information about the relative nonlinear damping and Duffing nonlinearity, and the ability to employ feedback to achieve self-sustained oscillations. We discuss the minimum nonlinear damping value required to enable phase control of Duffing parametric resonators, and confirm this using tunable nonlinear micromechanical devices with intrinsic nonlinear damping values below and above the critical value. For softening resonators with nonlinear damping values beyond the critical value, we demonstrate parametric phase control to experimentally operate on the unstable branches of a parametric resonator for the first time. Parametric phase control provides a sensitive technique for measuring the nonlinear parameters of a resonator, and paves the way for future measurements of the rich dynamics of driven single and coupled parametric resonators.

Seminar, June 18, 2019, 12:30. ICFO’s Seminar Room

Hosted by Prof. Adrian Bachtold