Resonator and resonance device
A resonator is provided that includes a vibration part, a frame, and a support arm. The vibration part includes an Si substrate that has a principal surface with a width W in an X-axis direction and a length L in a Y-axis direction. The vibration part is configured to vibrate mainly in a contour vibration mode. The support arm extends in the Y-axis direction and connects the frame to one of two ends in the Y-axis direction of the vibration part. When the principal surface of the Si substrate is viewed in a plan view, the width W is at its maximum Wmax at a point in the Y-axis direction and decreases with increasing proximity to the one of the two end portions in the Y-axis direction of the vibration part and with increasing proximity to the other end portion in the Y-axis direction of the vibration part.
1. A resonator, comprising:
a vibration part including a substrate having a first principal surface with a width in a first direction and a length in a second direction, with the vibration part being constructed to vibrate in a contour vibration mode;
a frame that at least partially surrounds the vibration part; and
a single connection arm that extends in the second direction and that directly connects the frame to only a first end of two ends of the vibration part in the second direction, such that a second end of the two ends of the vibration part is not directly attached to the frame,
wherein, when the first principal surface of the substrate is viewed in a plan view thereof, the width in the first direction has a maximum value at a point in the second direction and decreases with increasing proximity and continuously to each of the first end and the second end of the two ends in the second direction of the vibration part, and
wherein the point is off a center line in the second direction of the vibration part.
2. The resonator according to claim 1 , wherein the point is closer than the center line in the second direction of the vibration part to the first end of the two ends of the vibration part.
3. The resonator according to claim 1 , wherein the length in the second direction is greater than the width in the first direction.
4. The resonator according to claim 1 , wherein the connection arm is connected to a midsection in the first direction of the first end of the two ends.
5. The resonator according to claim 1 , wherein the vibration part includes a first electrode and a piezoelectric layer disposed between the substrate and the first electrode.
6. The resonator according to claim 5 , wherein the vibration part further includes a second electrode disposed between the substrate and the piezoelectric layer.
7. The resonator according to claim 5 , wherein the vibration part further includes a protective film that overlays the first electrode.
8. The resonator according to claim 1 , wherein the substrate comprises one of silicon and degenerate silicon.
9. The resonator according to claim 1 , wherein the vibration part further include a correction layer disposed on a second principal surface of the substrate that opposes the first principal surface of the substrate.
10. The resonator according to claim 1 , further comprising a node generation part coupled between the connection arm and the frame and having a width in the first direction that decreases as a distance increases from the connection arm towards the frame.
11. The resonator according to claim 1 , wherein, when viewed in the plan view, the vibration part has a shape comprising two triangles with a base of a first triangle of the triangles coinciding with a base of second triangle of the triangles.
12. A resonance device, comprising:
the resonator according to claim 1 ; and
a cover disposed thereon.
13. A resonator comprising:
a vibration part including a substrate having a first principal surface with a width in a first direction and a length in a second direction, with the vibration part being constructed to vibrate in a contour vibration mode;
a frame that at least partially surrounds the vibration part; and
a connection arm that extends in the second direction and that connects the frame to one end of two ends of the vibration art in the second direction,
wherein, when the first principal surface of the substrate is viewed in a plan view thereof, the width in the first direction has a maximum value at a point in the second direction and decreases with increasing proximity to the one end of the two ends in the second direction of the vibration part and with increasing proximity to a second end of the two ends in the second direction, and
wherein, when viewed in the plan view, the vibration part has a shape comprising two semi-ellipses, with a shorter diameter of a first semi-ellipse coinciding with a longer diameter of a second semi-ellipse.
14. The resonator according to claim 13 , wherein the first semi-ellipse has a maximum length at a point through which a major axis of the first semi-ellipse passes, and the second semi-ellipse has a maximum length at a point through which a minor axis of the second semi-ellipse passes.
15. The resonator according to claim 14 , wherein the maximum length of the first semi-ellipse extends in the second direction and is 0.9 times the maximum value of the width in the first direction.
16. The resonator according to claim 15 , wherein the maximum length of the second semi-ellipse extends in the second direction and is 0.25 times the maximum value of the width in the first direction.
17. A resonator, comprising:
a vibration member including a substrate having a principal surface with a width in a first direction and a length in a second direction;
a frame that at least partially surrounds the vibration member; and
a single connection arm that extends in the second direction and that directly connects the frame to only a first end of the vibration member, such that a second end of the vibration member is not directly attached to the frame,
wherein, when the principal surface of the substrate is viewed in a plan view thereof, the width in the first direction is longest at a point in the second direction and continuously decreases in width as the vibration member extends away from the point in the second direction towards each of the first and second ends of the vibration member, and
wherein the point is off a center line in the second direction of the vibration member and is closer than the center line in the second direction to the first end of the vibration member.
18. The resonator according to claim 17 , wherein the vibration member is constructed to vibrate in a contour vibration mode.