Lamb-wave resonator and oscillator
A Lamb-wave resonator includes: a piezoelectric substrate; an IDT electrode disposed on one principal surface of the piezoelectric substrate, having bus bar electrodes each connecting one ends of a plurality of electrode finger elements, the other ends of the plurality of electrode finger elements being interdigitated with each other to form an apposition area; and a pair of reflectors disposed on the one principal surface of the piezoelectric substrate, and respectively arranged on both sides of the IDT electrode in a propagation direction of a Lamb wave, wherein denoting a thickness of the piezoelectric substrate in the apposition area of the electrode finger elements as ti, a thickness of the piezoelectric substrate in areas between respective ends of the apposition area in a direction perpendicular to the propagation direction of the Lamb wave and the bus bar electrodes as tg, and a wavelength of the Lamb wave as λ, the thickness ti exists in a range represented by 0<ti/λ≦3, and a relationship of tg<ti is satisfied.
1. A Lamb-wave resonator comprising:
a piezoelectric substrate;
an IDT electrode disposed on one principal surface of the piezoelectric substrate, having bus bar electrodes each connecting one ends of a plurality of electrode finger elements, the other ends of the plurality of electrode finger elements being interdigitated with each other to form an apposition area; and
a pair of reflectors disposed on the one principal surface of the piezoelectric substrate, and respectively arranged on both sides of the IDT electrode in a propagation direction of a Lamb wave,
wherein denoting a thickness of the piezoelectric substrate in the apposition area of the electrode finger elements as ti, a thickness of the piezoelectric substrate in areas between respective ends of the apposition area in a direction perpendicular to the propagation direction of the Lamb wave and the bus bar electrodes as tg, and a wavelength of the Lamb wave as λ, the thickness ti exists in a range represented by 0<ti/λ≦3, and a relationship of tg<ti is satisfied.
2. The Lamb-wave resonator according to claim 1 , wherein
the piezoelectric substrate is a quartz substrate having Euler angles (φ, θ, ψ) in ranges of −1°≦φ≦+1°, 35.0°≦θ≦47.2°, and −5°≦ψ≦+5°, and a relationship between the thickness tg and the wavelength λ of the Lamb wave satisfying 1.0λ≦tg<1.60λ.
3. The Lamb-wave resonator according to claim 1 , wherein
a width of the apposition area of the electrode finger elements is one of equal to and larger than 20λ.
4. An oscillator, comprising:
the Lamb-wave resonator according to claim 1 ; and
an oscillation circuit adapted to excite the Lamb-wave resonator.