Piezoelectric resonator structures and electrical filters
View Patent ↗Film bulk acoustic resonators (FBARs) stacked FBARs (SBARS) including at least two curved edges are disclosed.
1. An electrical resonator, comprising:
a first electrode having at least two curved edges and at least one substantially linear edge, wherein the edges comprise a perimeter of the first electrode and none of the curved edges are concave;
a second electrode having at least two curved edges and at least one substantially linear edge, wherein the edges comprise a perimeter of the second electrode and none of the curved edges are concave; and
a layer of piezoelectric material disposed between the first and second electrodes, wherein thickness-extensional (TE) modes propagate along a thickness of the layer.
2. An electrical resonator as claimed in claim 1 , wherein the first and second electrodes each further comprise at least one other substantially linear edge.
3. An electrical resonator as claimed in claim 2 , wherein none of the linear edges of the first electrode are parallel to each other, and/or none of the linear edges of the second electrode are parallel to each other.
4. An electrical resonator as claimed in claim 2 , wherein no two linear edges of the first electrode form an angle pπ/q, where p and q are integers, and/or no two linear edges of the second electrode the second electrode form an angle of mod pπ/q.
5. An electrical resonator as claimed in claim 1 , further comprising:
a third electrode having at least two curved edges and at least one substantially linear edge; and
another layer of piezoelectric material disposed between the second and third electrodes, wherein TE modes propagate along a thickness of the other layer of piezoelectric material.
6. An electrical resonator as claimed in claim 5 , wherein none of the curved edges are concave.
7. An electrical resonator as claimed in claim 5 , wherein the third electrode further comprises at least one other substantially linear edge.
8. An electrical resonator as claimed in claim 7 , wherein none of the linear edges of the third electrode are parallel.
9. An electrical resonator as claimed in claim 7 , wherein no two linear edges of the third electrode form an angle of mod (pπq), where p and q are integers.
10. An electrical resonator structure, comprising:
a plurality of electrical resonators, wherein each of the electrical resonators comprises:
a first electrode having at least two curved edges and at least one substantially linear edge, wherein the edges comprise a perimeter of the first electrode and none of the curved edges are concave;
a second electrode having at least two curved edges and at least one substantially linear edge, wherein the edges comprise a perimeter of the second electrode and none of the curved edges are concave; and
a layer of piezoelectric material disposed between the first and second electrodes, wherein thickness-extensional (TE) modes wherein thickness-extensional (TE) modes propagate along a thickness of the layer.
11. An electrical resonator structure as claimed in claim 10 , wherein each of the electrodes further comprises at least one other substantially linear edge.
12. An electrical resonator structure as claimed in claim 11 , wherein none of the linear edges of the first electrode are parallel, and none of the linear edges of the second electrode are parallel.
13. An electrical resonator structure as claimed in claim 11 , wherein no two linear edges of the first electrode form an angle of mod (pπq), where p and q are integers, and/or no two linear edges of the second electrode form an angle of mod (pπq).
14. An electrical resonator structure as claimed in claim 10 , wherein the linear edge of the first electrode is adjacent to the linear edge of the second electrode.
15. An electrical resonator structure as claimed in claim 10 , wherein each of the plurality of electrical resonators further comprises:
a third electrode having at least two curved edges and at least one substantially linear edge; and
another layer of piezoelectric material disposed between the second and third electrodes, wherein TE modes propagate along a thickness of the other layer of piezoelectric material.
16. An electrical resonator structure as claimed in claim 15 , wherein none of the curved edges are concave.
17. An electrical resonator structure as claimed in claim 15 , wherein the third electrode further comprises at least one other substantially linear edge.
18. An electrical resonator structure as claimed in claim 17 , wherein none of the linear edges of the third electrode are parallel.
19. An electrical resonator structure as claimed in claim 17 , wherein one of the linear edges of the third electrode is adjacent to the linear edge of the first electrode, or is adjacent to the linear edge of the second electrode.
20. An electrical resonator structure as claimed in claim 17 , wherein no two linear edges of the third electrode form an angle of mod (pπ/q), where p and q are integers.
21. An electrical filter, comprising:
one or more resonators, each of which includes:
a first electrode having at least two curved edges and at least one substantially linear edge, wherein the edges comprise a perimeter of the first electrode and none of the curved edges are concave;
a second electrode having at least two curved edges and at least one substantially linear edge, wherein the edges comprise a perimeter of the second electrode and none of the curved edges are concave; and
a layer of piezoelectric material disposed between the first and second electrodes, wherein thickness-extensional (TE) modes propagate along a thickness of the layer.
22. An electrical filter as claimed in claim 21 , wherein each electrode further comprises at least one other substantially linear edge.
23. An electrical filter as claimed in claim 22 , wherein none of the linear edges of either of the first electrode are parallel, and/or none of the linear edges of the second electrode are parallel.
24. An electrical filter as claimed in claim 22 , wherein no two linear edges of either of the first electrode or the second electrode form an angle of 90°.