Spectral narrowing of parametrically pumped thermomechanical noise
James M. L. Miller, Dongsuk D. Shin, Hyun-Keun Kwon, Steven W. Shaw, Thomas W. Kenny
Abstract
We derive the displacement noise spectrum of a parametrically pumped resonator below the onset for self-excited oscillations. We extend the fluctuation-dissipation response of a thermomechanical-noise-driven resonator to the case of degenerate parametric pumping as a function of pump magnitude and frequency while properly accounting for the quadrature-dependence of the parametric thermal noise squeezing. We use measurements with a microelectromechanical cantilever to corroborate our model.
Topics & Concepts
ResonatorParametric statisticsDegenerate energy levelsNoise (video)DissipationPhysicsDisplacement (psychology)CantileverAcousticsOptical parametric oscillatorQuadrature (astronomy)Materials scienceMechanicsOpticsThermodynamicsQuantum mechanicsWavelengthMathematicsComputer scienceArtificial intelligenceStatisticsImage (mathematics)PsychotherapistPsychologyComposite materialMechanical and Optical ResonatorsAdvanced MEMS and NEMS TechnologiesForce Microscopy Techniques and Applications