Investigation of a Solid-State Tuning Behavior in Lithium Niobate.

Electric field-based frequency tuning of acoustic resonators at the material level may provide an enabling technology for building complex tunable filters. Tunable acoustic resonators were fabricated in thin plates (h/ λ  ∼  0.05 ) of X-cut lithium niobate (LiNbO) (90°, 90°, ψ = 170 ). LiNbO is known for its large electromechanical coupling ( K ) for the shear and symmetric Lamb modes (SH: K = 40 %, S: K = 30 %) in thin plates and, thus, applicability for low-insertion loss and wideband filter applications. We demonstrate the effect of a dc bias in X-cut LiNbO to shift the resonant frequency by ~0.4% through direct tuning of the resonator material. A nonlinear acoustic computation predicted 0.36% tuning, which was in excellent agreement with the tuning measurement. For X-cut, we predicted electrical tuning of the S mode up to 1.6% and for Y-cut the electrical tuning of the SH and S modes was up to 7.0% with K = 27.1 %. The mechanism is based on the nonlinearities that exist in the piezoelectric properties of LiNbO. The X-cut SH mode resonators were centered near 335 MHz and achieved a frequency tuning of 6 kHz/V through the application of a dc bias.