Spectral narrowing of parametrically pumped thermomechanical noise

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.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 20, 2020
Source ID
10.1063/5.0009848

Entities

People

  • Dongsuk D. Shin
  • Hyun-Keun Kwon
  • James M. L. Miller
  • Steven W. Shaw
  • Thomas W. Kenny

Organizations

  • Defense Advanced Research Projects Agency
  • Florida Institute of Technology
  • Michigan State University
  • National Science Foundation
  • Stanford University

Tags

Fields of Study

  • Engineering
  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Optical Physics and Photonics.

Technology Areas

  • Microelectronics
  • Microelectronics - Microelectromechanical Systems