Analytical model of cylindrical cross-section resonators in GaPO vibrating in torsional modes

International audienc

Temperature compensated cuts for length–extensional and flexural vibrating modes in GaPO4 beam resonators

International audienc

Analytical model of cylindrical cross-section resonators in GaPO4_{\bf 4} vibrating in torsional modes

A theoretical investigation of cylindrical cross-section GaPO$_{4}$ 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