Efficient parametric amplification in micro-resonators with integrated piezoelectric actuation and sensing capabilities

Olivier Thomas (1, 2) , Fabrice Mathieu (3) , William Mansfield (4) , C. Huang (4) , Susan Trolier-Mckinstry (4) , Liviu Nicu (2)

1 LMSSC - Laboratoire de Mécanique des Structures et des Systèmes Couplés
2 LSIS - Laboratoire des Sciences de l'Information et des Systèmes
3 LAAS-2I
4 Penn State - Pennsylvania State University

We report, in this work, on unprecedented levels of parametric amplification in microelectromechanical resonators, operated in air, with integrated piezoelectric actuation and sensing capabilities. The method relies on an analytical/numerical understanding of the influence of geometrical nonlinearities inherent to the bridge-like configuration of the resonators. We provide analytical formulae to predict the performances of the parametric amplifier below the nonlinearity threshold, in terms of gain and quality factor (Q) enhancement. The analysis explains how to overcome this nonlinearity threshold by controlling the drive signals. It predicts that in theory, any Q-factor enhancement can be achieved. Experimental validation demonstrates a Q-factor enhancement by up to a factor 14 in air.

Domaines: Mécanique [physics.med-ph]

Olivier Thomas, Fabrice Mathieu, William Mansfield, C. Huang, Susan Trolier-Mckinstry, et al.. Efficient parametric amplification in micro-resonators with integrated piezoelectric actuation and sensing capabilities. Applied Physics Letters, 2013, 102 (16), pp.163504. ⟨10.1063/1.4802786⟩. ⟨hal-03177497⟩