Parametric Resonance of Optically Trapped Aerosols
R. Di Leonardo, G. Ruocco, J. Leach, M. J. Padgett, A. J. Wright, J., M. Girkin, D. R. Burnham, D. McGloin
TL;DR
This paper investigates the transition from over- to under-damped oscillations in optically trapped aerosols, demonstrating parametric resonance through periodic modulation and validating results with analytical models.
Contribution
It introduces a detailed analysis of Brownian dynamics in optically trapped aerosols and demonstrates parametric resonance using a modulated Langevin equation approach.
Findings
Spectrum shifts from Lorentzian to resonance peak
Parametric resonance observed at twice the natural frequency
Analytical solutions match experimental spectra
Abstract
The Brownian dynamics of an optically trapped water droplet are investigated across the transition from over to under-damped oscillations. The spectrum of position fluctuations evolves from a Lorentzian shape typical of over-damped systems (beads in liquid solvents), to a damped harmonic oscillator spectrum showing a resonance peak. In this later under-damped regime, we excite parametric resonance by periodically modulating the trapping power at twice the resonant frequency. The power spectra of position fluctuations are in excellent agreement with the obtained analytical solutions of a parametrically modulated Langevin equation.
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