The present invention relates to an acoustic wave device including a piezoelectric layer made of lithium niobate or lithium tantalate, and a filter device including the acoustic wave device.
In the related art, a known acoustic wave device uses plate waves propagating through a piezoelectric film formed of LiNbO3 or LiTaO3. For example, Japanese Unexamined Patent Application Publication No. 2012-257019 described below discloses an acoustic wave device using Lamb waves which are plate waves. In the acoustic wave device, an IDT electrode is disposed on the upper surface of a piezoelectric film formed of LiNbO3 or LiTaO3. A voltage is applied between multiple electrode fingers connected to a first potential of the IDT electrode and multiple electrode fingers connected to a second potential. This causes Lamb waves to be excited. Reflectors are disposed on both sides of the IDT electrode. Thus, the acoustic wave resonator using plate waves is formed.
In the acoustic wave device described in Japanese Unexamined Patent Application Publication No. 2012-257019, the number of electrode fingers may be reduced for a reduction in size. However, a reduction of the number of electrode fingers causes the Q value to decrease, and also causes difficulty in adjusting the frequency.
Preferred embodiments of the present invention provide acoustic wave devices and filter devices, each of which improve the Q value and easily adjust the frequency even when the size is reduced.
A first preferred embodiment of the present invention provides an acoustic wave device including a piezoelectric layer, a first electrode and a second electrode, and an additional film. The piezoelectric layer is made of lithium niobate or lithium tantalate. The first electrode and the second electrode face each other in the direction intersecting the thickness direction of the piezoelectric layer. The additional film is disposed on the piezoelectric layer or on at least one of the first electrode or the second electrode so as to overlap, in plan view, at least one of a first area or a second area. The first area includes areas in which the first electrode and the second electrode are located. The second area is an area between the first electrode and the second electrode. The acoustic wave device uses primary thickness-shear mode bulk waves.
A second preferred embodiment of the present invention provides an acoustic wave device including a piezoelectric layer, a first electrode and a second electrode, and an additional film. The piezoelectric layer is made of lithium niobate or lithium tantalate. The first electrode and the second electrode face each other in the direction intersecting the thickness direction of the piezoelectric layer. The additional film is located on the piezoelectric layer or on at least one of the first electrode or the second electrode so as to overlap, in plan view, at least one of a first area or a second area. The first area includes areas in which the first electrode and the second electrode are located. The second area is an area between the first electrode and the second electrode. The first electrode is adjacent to the second electrode, and d/p is equal to or less than about 0.5 where d represents a thickness of the piezoelectric layer, and p represents a center-to-center distance between the first electrode and the second electrode.
A third preferred embodiment of the present invention provides a filter device including at least one serial arm resonator and at least one parallel arm resonator. At least one of the at least one serial arm resonator is the acoustic wave device according to the first preferred embodiment of the present invention or the second preferred embodiment of the present invention of the present application, and at least one of the at least one parallel arm resonator is the acoustic wave device according to the first preferred embodiment of the present invention or the second preferred embodiment of the present invention of the present application. The thickness of the additional film of the at least one serial arm resonator is different from the thickness of the additional film of the at least one parallel arm resonator.
Acoustic wave devices and filter devices according to preferred embodiments of the present invention improve the Q value and adjust the frequency easily even when the size is reduced.
The above and other elements, features, steps, characteristics and advantages of the present invention will become more apparent from the following detailed description of the preferred embodiments with reference to the attached drawings.
Referring to the drawings, specific preferred embodiments of the present invention will be described below to clarify the present invention.
The preferred embodiments described in the specification are exemplary. It is to be noted that partial replacement or combination of configurations in different preferred embodiments may be made.
Each of first and second preferred embodiments of the present invention include a piezoelectric layer that is made of lithium niobate or lithium tantalate, a first electrode and a second electrode, and an additional film. The first electrode and the second electrode are disposed so as to face each other in the direction intersecting the thickness direction of the piezoelectric layer. The additional film is disposed on the piezoelectric layer or on at least one of the first electrode or the second electrode so as to overlap, in plan view, at least one of the following areas: areas in which the first electrode and the second electrode are located, and the area between the first electrode and the second electrode.
The first preferred embodiment of the present invention uses primary thickness-shear mode bulk waves. In the second preferred embodiment of the present invention, the first electrode is adjacent to the second electrode, and d/p is to be equal to or less than about 0.5 where d represents the thickness of the piezoelectric layer, and p represents the center-to-center distance between the first electrode and the second electrode. Thus, even when the size is reduced, the first and second preferred embodiments of the present invention enable the Q value to be improved. In addition, the frequency may be adjusted easily through the additional film which is disposed. Also in the filter device according to the third preferred embodiment of the present invention which includes the acoustic wave device according to the first and second preferred embodiments of the present invention, even when the size is reduced, the Q value may be improved, and the frequency may be adjusted easily.
An acoustic wave device 1 includes a piezoelectric layer 2 made of lithium niobate. In the present preferred embodiment, the piezoelectric layer 2 is made of LiNbO3. The piezoelectric layer 2 may be made of lithium tantalate (for example, LiTaO3). The piezoelectric layer 2 includes first and second principal surfaces 2a and 2b which face each other. The thickness of the piezoelectric layer 2 is preferably equal to or greater than about 40 nm and equal to or less than about 1000 nm.
At least a pair of an electrode 3 and an electrode 4 is disposed on the first principal surface 2a. The electrode 3 is an exemplary “first electrode”, and the electrode 4 is an exemplary “second electrode”. In
In the present preferred embodiment, the electrodes 3 and 4 are rectangular in plan view. In some cases, the electrodes and 4 are not rectangular. In this case, the lengthwise direction may be set to the direction along a long side of a circumscribed polygon around an electrode 3 or 4 in plan view of the electrodes 3 and 4. When the electrodes 3 and the electrodes 4 connect with the first busbar 5 and the second busbar 6, “a circumscribed polygon around an electrode 3 or 4” encompasses a polygon circumscribing, at least, points of the electrode 3 or the electrode 4, other than points where the electrodes 3 and the electrodes 4 connect with the first busbar 5 and the second busbar 6.
As illustrated in
The center-to-center distance between adjacent electrodes 3 and 4 is preferably equal to or greater than about 1 μm and equal to or less than about 10 μm. The width of each of the electrodes 3 and the electrodes 4 is preferably equal to or greater than about 50 nm and equal to or less than about 1000 nm. The center-to-center distance between an electrode 3 and an electrode 4 refers to the distance between the center of the dimension (width dimension) of the electrode 3 in the direction orthogonal to the lengthwise direction of the electrode 3, and the center of the dimension (width dimension) of the electrode 4 in the direction orthogonal to the lengthwise direction of the electrode 4. When the electrodes 3 and 4 are not rectangular, the center-to-center distance between an electrode 3 and an electrode 4 may refer to the distance between the center of a dimension of the circumscribed polygon around the electrode 3 in the direction orthogonal to the lengthwise direction of the circumscribed polygon, and the center of a dimension of the circumscribed polygon around the electrode 4 in the direction orthogonal to the lengthwise direction of the circumscribed polygon.
In the present preferred embodiment, an additional film is disposed on the first principal surface 2a of the piezoelectric layer 2 so as to cover the electrodes 3 and 4. Any structure may be used as long as the additional film 10 is disposed on either one or both of the electrodes 3 and the electrodes 4, or on the piezoelectric layer 2, so as to overlap, in plan view, at least one of the following areas: areas in which the electrodes 3 and 4 are located, and areas between the electrodes 3 and the electrodes 4. In the acoustic wave device 1, the additional film covers the entire first principal surface 2a of the piezoelectric layer 2. The additional film 10 is made of silicon oxide. This enables the absolute value of the temperature coefficient of frequency TCF to be made small, and enables the frequency temperature characteristics to be improved. The material of the additional film 10 is not limited to the material described above, and an appropriate insulating material, such as, for example, silicon nitride, silicon oxynitride, alumina, or tantalum oxide, may be used. More preferably, the additional film 10 is a dielectric film, of which the lateral acoustic impedance is equal to or more than about 8.7M Rayl, such as the dielectric films show below in the Table.
The additional film 10 includes a first surface 10a, a second surface 10b, and end surfaces 10c. The first surface 10a faces the second surface 10b in the thickness direction of the additional film 10. Among the first surface 10a and the second surface 10b, the second surface 10b is a surface positioned on the piezoelectric layer 2 side. The end surfaces 10c connect with the first surface 10a and the second surface 10b.
The electrodes 3 and the electrodes 4, which are disposed on the piezoelectric layer 2, define a recess-protrusion structure. Therefore, in the present preferred embodiment, the first surface 10a and the second surface 10b of the additional film 10 each include recesses and protrusions in accordance with the recess-protrusion structure. Alternatively, the first surface 10a or the second surface 10b does not necessarily include recesses and protrusions, and may be flat.
In the specification, it is assumed that the thickness of a portion, which is disposed directly on the piezoelectric layer 2, of the additional film 10 is the distance between the piezoelectric-layer-side surface, which is in contact with the piezoelectric layer 2, of the additional film 10 and the surface which faces the piezoelectric-layer-side surface; the thickness of a portion, which is disposed on the electrodes 3, of the additional film 10 is the distance between the electrode-3-side surface, which is in contact with the electrodes 3, of the additional film 10 and the surface which faces the electrode-3-side surface; the thickness of a portion, which is disposed on the electrodes 4, of the additional film 10 is the distance between the electrode-4-side surface, which is in contact with the electrodes 4, of the additional film 10 and the surface which faces the electrode-4-side surface. In the present preferred embodiment, the thickness of the additional film 10 is the same in any of the portions. Alternatively, the thicknesses in the portions of the additional film 10 may be different from each other.
A supporting member 8 is disposed on the second principal surface 2b side of the piezoelectric layer 2 with an insulating layer 7 interposed in between. The insulating layer 7 and the supporting member 8 are each shaped as a frame. As illustrated in
The insulating layer 7 is made of silicon oxide. Other than silicon oxide, an appropriate insulating material, such as silicon oxynitride or alumina, may be used. The supporting member 8 is made of Si. When the supporting member 8 is made of Si, the surface orientation of the surface on the piezoelectric layer 2 side is preferably (100), (110), or (111). The resistivity of the Si substrate is preferably equal to or greater than about 4 kΩ. The supporting member 8 may be made also of an appropriate insulating material or semiconductor material.
The multiple electrodes 3, the multiple electrodes 4, and the first and second busbars 5 and 6 are made of an appropriate metal or alloy, such as Al or AlCu alloy. Cu in AlCu alloy is preferably equal to or greater than about 1% by weight and equal to or less than about 20% by weight. The multiple electrodes 3, the multiple electrodes 4, and the first and second busbars 5 and 6 may be made of a laminated metal film obtained by laminating multiple metal layers. In this case, for example, a close-contact layer may be included. Examples of a close-contact layer include a Ti layer and a Cr layer.
In driving, an alternating voltage is applied between the electrodes 3 and the electrodes 4. More specifically, an alternating voltage is applied between the first busbar 5 and the second busbar 6. This enables acquisition of resonance characteristics obtained by using primary thickness-shear mode bulk waves excited in the piezoelectric layer 2. In the acoustic wave device 1, when d represents the thickness of the piezoelectric layer 2 and p represents the center-to-center distance between any adjacent electrodes 3 and 4 among multiple pairs of electrodes 3 and 4, d/p is to be equal to or less than about 0.5. Therefore, the primary thickness-shear mode bulk waves are excited effectively, and good resonance characteristics may be obtained. More preferably, d/p is preferably equal to or less than about 0.24. In this case, much better resonance characteristics may be obtained. As in the present preferred embodiment, when either one or both of the electrodes 3 and the electrodes 4 are more than one, that is, when the number of pairs of electrodes 3 and 4 is 1.5 or more where an electrode 3 and an electrode 4 are regarded as one pair of electrodes, the center-to-center distance p between adjacent electrodes 3 and 4 refers to the center-to-center distance of each pair of adjacent electrodes 3 and 4.
In the present preferred embodiment, since the piezoelectric layer 2 is made of a Z-cut piezoelectric material, the direction orthogonal to the lengthwise direction of the electrodes 3 and 4 is the direction orthogonal to the polarization direction of the piezoelectric layer 2. This does not apply to the case in which another cut-angle piezoelectric material is used for the piezoelectric layer 2. The term, “orthogonal”, is not limited only to the case of being strictly orthogonal, and may refer to the case of being substantially orthogonal (the case in which the angle of the lengthwise direction of the electrodes 3 and 4 with respect to the polarization direction of the piezoelectric layer 2 is, for example, an angle within a range of about 90°±10°).
Since the acoustic wave device 1 according to the present preferred embodiment has the configuration described above, a reduction of the Q value is difficult to occur even when the number of pairs of electrodes 3 and 4 is decreased for a reduction in size. In addition, the frequency may be adjusted easily. In the description below, the effect that a reduction of the Q value is difficult to occur will be described. Then, the effect of easy adjustment of the frequency will be described.
The size may be reduced, for example, by decreasing the number of electrode fingers in reflectors disposed on both sides of an area in which the electrodes 3 and 4 are disposed. According to the present preferred embodiment, even when the number of electrode fingers of the reflectors is decreased for a reduction in size, the energy is confined in and near the excitation region. Thus, a reduction in size leads to just a small amount of propagation loss, and a reduction of the Q value is difficult to occur. In addition, just a small amount of propagation loss, as described above, results from use of primary thickness-shear mode bulk waves. The difference between Lamb waves used by an acoustic wave device of the related art and the primary thickness-shear mode bulk waves will be described by referring to
In contrast, as illustrated in
As illustrated in
As described above, in the acoustic wave device 1, at least one pair of electrodes including an electrode 3 and an electrode 4 is disposed. Since waves do not propagate in X direction, the number of pairs of electrodes including an electrode 3 and an electrode 4 is not necessarily more than one. That is, any structure may be used as long as at least one pair of electrodes is disposed.
For example, the electrodes 3 are connected to the hot potential, and the electrodes 4 are connected to the ground potential. Alternatively, the electrodes 3 may be connected to the ground potential, and the electrodes 4 may be connected to the hot potential. In the present preferred embodiment, as described above, at least one pair of electrodes has an electrode connected to the hot potential and an electrode connected to the ground potential, and a floating electrode is not provided.
When d represents the thickness of the piezoelectric layer 2 and p represents the electrode center-to-center distance between an electrode 3 and an electrode 4, as described above, in the present preferred embodiment, d/p is equal to or less than about 0.5, and is more preferably equal to or less than about 0.24. This will be described by referring to
Multiple acoustic wave devices were obtained by changing d/p.
As is clear from
In addition, as is clear from
As described above, at least one pair of electrodes may be one pair, and p described above is set to the center-to-center distance between the adjacent electrodes 3 and 4 in the case of one pair of electrodes. In the case of 1.5 or more pairs of electrodes, p may be set to the center-to-center distance between adjacent electrodes 3 and 4.
As described above, in the present preferred embodiment, the additional film 10 is disposed on the first principal surface 2a of the piezoelectric layer 2 so as to cover the electrodes 3 and 4. This enables easy adjustment of the frequency. This will be described below.
Multiple acoustic wave devices, having the configuration according to the first preferred embodiment and having different thicknesses of the additional film 10 and different electrode center-to-center distances, were prepared. The thickness of the additional film 10 is represented by t, and the ratio of the thickness t with respect to the electrode center-to-center distance p is represented by t/p×100(%). The design parameters of the acoustic wave devices are as follows.
The piezoelectric layer 2: LiNbO3, a thickness of 400 nm
The number of pairs of electrodes including an electrode 3 and an electrode 4=50 pairs
The additional film 10: a silicon oxide film whose thickness is 10 nm or 20 nm
The insulating layer 7: a silicon oxide film whose thickness is 0.3 μm
The supporting member 8: Si
The length of the excitation region=20 μm
The electrode center-to-center distance: varied in a range from 2 μm to 20 μm
The width of each of the electrodes 3 and 4=0.5 μm
d/p: varied in a range from 0.05 to 0.5
t/p×100(%): varied in a range from 0.1% to 2%
In the multiple acoustic wave devices, the amount of change of the frequency, which is obtained when the thickness of the additional film 10 is varied by about 1 nm, was measured.
As is clear from
In contrast, in the case of having the configuration according to the present preferred embodiment and having the additional film 10 whose thickness t is 10 nm, when t/p×100(%) is about 0.31%, the minimum is obtained. In other words, when the thickness t of the additional film 10 is about 10 nm and the electrode center-to-center distance p is about 3 μm, the amount of change of the frequency per 1-nm change in the thickness of the additional film is minimum. More specifically, when t/p×100(%) is greater than about 0.31%, as t/p×100(%) is less, the amount of change of the frequency is smaller. In the case where the thickness t of the additional film 10 is about 20 nm, when t/p×100(%) is about 0.5%, the minimum is obtained. In other words, when the thickness t of the additional film 10 is about 20 nm and the electrode center-to-center distance p is about 4 μm, the amount of change of the frequency per 1-nm change in the thickness of the additional film is minimum. More specifically, when t/p×100(%) is equal to or less than about 0.5%, as t/p×100(%) is less, the amount of change of the frequency is larger. Thus, in the present preferred embodiment, even when t/p×100(%) is less, the amount of change of the frequency is sufficiently large. Therefore, adjustment of the thickness of the additional film 10 enables the frequency to be adjusted easily.
Also when the thickness t of the additional film 10 is neither about 10 nm nor about 20 nm, t/p×100(%), at which the amount of change of the frequency per 1-nm change in the thickness t of the additional film 10 is minimum, was determined. The thickness of the additional film was varied in a range of about 100 nm or less.
As is clear from
The thickness t of the additional film 10 is preferably equal to or less than the thickness of each of the electrodes 3 and the electrodes 4. If the additional film 10 is too thick, when the acoustic wave device 1 is used in a filter device such as a band pass filter, the insertion loss may degrade.
The thickness t of the additional film 10 is more preferably equal to or less than about 100 nm. This may reduce or prevent degradation of the insertion loss effectively when the acoustic wave device 1 according to the present preferred embodiment is used in a filter device such as a band pass filter.
As illustrated in
The lower limit of the thickness of the additional film 10 is not particularly limited, but, for example, is preferably about 1 nm. In this case, the additional film 10 may be formed easily.
The lower limit of t/p×100(%) is not particularly limited, but is preferably about 0.01(%).
The influence on the frequency, which is exerted by the additional film 10, is particularly large in a portion of the additional film 10, which is positioned in the areas between the electrodes 3 and the electrodes 4. In the present preferred embodiment, the additional film 10 is disposed on the electrodes 3 and the electrodes 4 and on the piezoelectric layer 2 so as to overlap, in plan view, the entirety of both the areas, in which the electrodes 3 and 4 are formed, and the areas between the electrodes 3 and the electrodes 4. Therefore, the frequency may be adjusted much more easily. In the present preferred embodiment, since the additional film 10 covers the electrodes 3 and the electrodes 4, the electrodes 3 and the electrodes 4 are difficult to damage.
In the acoustic wave device 1, the additional film 10 is also disposed in a peripheral area between the peripheral line of the first principal surface 2a of the piezoelectric layer 2 and the area in which the electrodes 3 and the electrodes 4 are formed. However, the additional film 10 is not necessarily provided in the peripheral area.
In the acoustic wave device 1, when viewed in the direction in which, among multiple pairs of an electrode 3 and an electrode 4, any adjacent electrodes 3 and 4 face each other, an excitation zone corresponds to an overlapping area in which the adjacent electrodes 3 and 4 overlap each other. A metallization ratio MR of the adjacent electrodes 3 and 4 with respect to the excitation zone preferably satisfies an expression, MR≤1.75(d/p)+0.075. In this case, spurious components may be reduced effectively. This will be described by referring to
The metallization ratio MR will be described by referring to
When multiple pairs of electrodes are disposed, MR may be a ratio of the metallization portion, which is included in all the excitation zones, with respect to the total area of the excitation zones.
In the area surrounded by ellipse J in
As described above, in the acoustic wave devices according to the first and second preferred embodiments of the present invention, even when the number of electrode fingers of the reflectors is reduced, good resonance characteristics may be obtained. Therefore, even when the size is reduced, a high Q value may be achieved. In addition, the frequency may be adjusted easily. Modified examples of the first preferred embodiment will be described below. The modified examples are different from the first preferred embodiment only in the portion in which the additional film 10 is disposed. The modified examples also may obtain an effect similar to that of the first preferred embodiment.
In a first modified example illustrated in
As described above, the influence on the frequency, which is caused by the additional film, is particularly large in the portion, which is positioned in the area between an electrode 3 and an electrode 4, of the additional film. In the present modified example, the additional films 10A are disposed in areas between the electrodes 3 and the electrodes 4. Therefore, the frequency may be adjusted much more easily.
In a second modified example illustrated in
The pattern shape of each additional film 10B in the present modified example is circular. This is not limited. For example, the pattern shape of each additional film 10B may be an ellipse or a rectangle. Alternatively, the pattern shape of each additional film 10B may be, for example, a shape, in which multiple circles overlap each other partially, or a shape, in which multiple rectangles overlap each other partially. The pattern of each additional films 10B may be a pattern in which the additional film 10B has at least one cavity, or a pattern, in which a portion of the additional film 10B is thin.
In a third modified example illustrated in
In a fourth modified example illustrated in
In the present modified example, the additional films 10D are disposed between the electrodes 3 and 4 and the piezoelectric layer 2. Thus, the metal layer, of which the electrodes 3 and the electrodes 4 are formed, does not form a triaxial orientation.
In a fifth modified example illustrated in
The case in which an additional film is disposed on an electrode 3 also encompasses the case in which, as in the present modified example, additional films 10E are provided only on the side surfaces 3c of the electrode 3. Similarly, the case in which an additional film is disposed on an electrode 4 also encompasses the case in which additional films 10E are provided only on the side surfaces 4c of the electrode 4.
In a sixth modified example illustrated in
In a seventh modified example illustrated in
Eighth to tenth modified examples, in which only the shape of the cross section of an additional film is different from that in the first preferred embodiment, will be described below. Also in the eighth to tenth modified examples, similarly to the first preferred embodiment, even when the size is reduced, the Q value may be improved, and the frequency may be adjusted easily.
In an eighth modified example illustrated in
In a ninth modified example illustrated in
In a tenth modified example illustrated in
Also in the second preferred embodiment, like the first preferred embodiment, even when the size is reduced, the Q value may be improved, and the frequency may be adjusted easily. Further, also in the modified examples of the second preferred embodiment which are described below, substantially the same effect may be obtained.
In a first modified example illustrated in
Also in a second modified example illustrated in
Also in a third modified example illustrated in
The low acoustic impedance layers 32a, 32c, and 32e and the high acoustic impedance layers 32b and 32d may be made of appropriate materials as long as the relationship of acoustic impedance described above is satisfied. For example, as a material of the low acoustic impedance layers 32a, 32c, and 32e, for example, silicon oxide or silicon oxynitride may be used. As a material of the high acoustic impedance layers 32b and 32d, for example, alumina, silicon nitride, or a metal may be used.
Thus, the cross section of at least one pair of an electrode 3 and an electrode 4 may have a shape different from a rectangular shape, that is, a variant shape. In addition, the electrodes 3 and 4 may have portions extending toward their paired electrodes 4 and 3, respectively.
The electrodes 3 and 4 may have a shape, for example, as illustrated in any of
The acoustic wave devices according to preferred embodiments of the present invention may be used in a filter device such as a band pass filter. This example will be described below.
The first signal end 52A is an antenna end connected to an antenna. The first signal end 52A and the second signal end 52B may be electrode pads, or may be wires.
A specific circuit configuration of the filter device 50 is as follows. A serial arm resonator S51, a serial arm resonator S52, a serial arm resonator S53, a serial arm resonator S54, and a serial arm resonator S55 are connected to each other in series between the first signal end 52A and the second signal end 52B.
A parallel arm resonator P51 is connected between a connection point between the serial arm resonator S51 and the serial arm resonator S52, and the ground potential. A parallel arm resonator P52 is connected between a connection point between the serial arm resonator S52 and the serial arm resonator S53, and the ground potential. A parallel arm resonator P53 is connected between a connection point between the serial arm resonator S53 and the serial arm resonator S54, and the ground potential. A parallel arm resonator P54 is connected between a connection point between the serial arm resonator S54 and the serial arm resonator S55, and the ground potential. The circuit configuration illustrated in
In the present preferred embodiment, the multiple serial arm resonators and the multiple parallel arm resonators are acoustic wave devices according to one of the various preferred embodiments of the present invention. Thus, even when the size is reduced, the Q value of each resonator may be improved. In addition, the frequency may be adjusted easily.
Each of the serial arm resonators and the parallel arm resonators includes an additional film according to a preferred embodiment of the present invention. The thickness of the additional films of the serial arm resonators is preferably different from the thickness of the additional films of the parallel arm resonators. This enables desired characteristics to be obtained easily through adjustment in each of the serial arm resonators and the parallel arm resonators. Thus, the filter characteristics may be adjusted suitably.
While preferred embodiments of the present invention have been described above, it is to be understood that variations and modifications will be apparent to those skilled in the art without departing from the scope and spirit of the present invention. The scope of the present invention, therefore, is to be determined solely by the following claims.
Number | Date | Country | Kind |
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2019-177326 | Sep 2019 | JP | national |
This application claims the benefit of priority to Japanese Patent Application No. 2019-177326 filed on Sep. 27, 2019 and is a Continuation Application of PCT Application No. PCT/JP2020/036416 filed on Sep. 25, 2020. The entire contents of each application are hereby incorporated herein by reference.
Number | Date | Country | |
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Parent | PCT/JP2020/036416 | Sep 2020 | US |
Child | 17704859 | US |