Title :
Second-order frequency shifts in crystal resonators under relatively large biasing fields
Author :
Kosinski, J.A. ; Pastore, R.A., Jr. ; Yang, J.S. ; Yang, X.M. ; Turne, J.A.
Author_Institution :
US Army CECOM, Fort Monmouth, NJ, USA
Abstract :
Frequency shifts in crystal resonators under relatively large biasing fields are studied from a perturbation procedure based on the equations for small fields superposed on finite biasing fields in an anisotropic elastic body. A general expression for second-order frequency shifts is obtained. Estimates are made on the order of magnitude of second-order frequency shifts in a quartz resonator due to relatively large normal acceleration.
Keywords :
acceleration; anisotropic media; crystal resonators; elastic constants; frequency response; perturbation techniques; anisotropic elastic bodies; crystal resonator 2nd-order frequency shifts; elastic constants; finite biasing fields; large biasing fields; normal acceleration; perturbation procedure; quartz resonators; superposed small field equations; Acceleration; Anisotropic magnetoresistance; Eigenvalues and eigenfunctions; Frequency estimation; Genetic expression; Integral equations; Performance analysis; Resonant frequency; Surface acoustic waves; Tensile stress;
Conference_Titel :
Frequency Control Symposium and PDA Exhibition, 2002. IEEE International
Print_ISBN :
0-7803-7082-1
DOI :
10.1109/FREQ.2002.1075865
