J. Phys. IV France
Volume 126, June 2005
Page(s) 119 - 122

J. Phys. IV France 126 (2005) 119-122

DOI: 10.1051/jp4:2005126024

Analytical model of cylindrical cross-section resonators in GaPO$_{\bf 4}$ vibrating in torsional modes

L. Delmas, F. Sthal, E. Bigler, B. Dulmet and R. Bourquin

FEMTO-ST, UMR CNRS 6174, Dept. LCEP, École Nationale Supérieure de Mécanique et des Microtechniques, 26 chemin de l'Épitaphe, 25000 Besançon, France

A theoretical investigation of cylindrical cross-section GaPO4 vibrating beam resonators in torsional modes is given. Temperature effects are introduced by the approximate but classical method of varying effective material constants, beam dimensions and crystal mass density versus temperature. Temperature compensated cuts are presented. An equivalent circuit model and analysis of coupling factor versus crystal orientation are also reported.

© EDP Sciences 2005