SURFACE ACOUSTIC WAVE SENSOR DEVICE FORMED ON A QUARTZ SUBSTRATE

Abstract

An acoustic wave sensor device comprises a quartz material layer comprising a planar surface, a first interdigitated transducer formed over the planar surface of the quartz material layer, a first reflection structure formed over the planar surface of the quartz material layer, a second reflection structure formed over the planar surface of the quartz material layer, a first resonance cavity formed between the first interdigitated transducer and the first reflection structure and a second resonance cavity formed between the first interdigitated transducer and the second reflection structure. The planar surface of the quartz material layer is defined by a crystal cut of a quartz material of the quartz material layer with angles φ in the range of −14° to −24°, θ in the range of −25° to −45° and ψ in the range of +8° to +28°.

Claims

1. Acoustic wave sensor device, comprising: a quartz material layer comprising a planar surface; a first interdigitated transducer formed over the planar surface of the quartz material layer; a first reflection structure formed over the planar surface of the quartz material layer; a second reflection structure formed over the planar surface of the quartz material layer; a first resonance cavity formed between the first interdigitated transducer and the first reflection structure; and a second resonance cavity formed between the first interdigitated transducer and the second reflection structure; and wherein the planar surface of the quartz material layer is defined by a crystal cut of a quartz material of the quartz material layer with angle φ in a range of −14° to −24°, angle θ in a range of −25° to −45° and angle ψ in a range of +8° to +28°.

2. The acoustic wave sensor device of claim 1, wherein the quartz material layer is a quartz bulk quartz substrate.

3. The acoustic wave sensor device of claim 1, further comprising a bulk substrate, and wherein the quartz material layer is formed over the bulk substrate.

4. The acoustic wave sensor device of claim 1, wherein at least one of the first and second reflection structures comprises or consists of a Bragg mirror.

5. The acoustic wave sensor device of claim 1, wherein at least one of the first and second reflection structures comprises a groove or an edge reflection structure or a short reflector comprising not more than three electrodes.

6. The acoustic wave sensor device of claim 1, wherein an upper surface of the second resonance cavity comprises a physical and/or chemical modification as compared to an upper surface of the first resonance cavity.

7. The acoustic wave sensor device of claim 6, wherein the physical and/or chemical modification comprises a metallization layer or passivation layer formed on the upper surface of the second resonance cavity.

8. The acoustic wave sensor device of claim 1, wherein extensions lengths of the first resonance cavity and the second resonance cavity differ from each other.

9. The acoustic wave sensor device of claim 1, wherein the first interdigitated transducer is split into two parts, the device further comprising a third reflection structure positioned between the two parts of the first interdigitated transducer.

10. The acoustic wave sensor device of claim 9, wherein the third reflection structure is a Bragg mirror.

11. The acoustic wave sensor device of claim 9, wherein a length of one of the two parts of the first interdigitated transducer differs from a length of the other one of the two parts and/or an aperture of one of the two parts of the first interdigitated transducer differs from an aperture of the other one of the two parts of the first interdigitated transducer.

12. The acoustic wave sensor device of claim 1, wherein the first resonance cavity comprises first resonance sub-cavities separated from each other by first reflection sub-structures of the first reflection structure and the second resonance cavity comprises second resonance sub-cavities separated from each other by second reflection sub-structures of the second reflection structure.

13. The acoustic wave sensor device of claim 1, wherein the acoustic wave sensor device is a passive surface acoustic wave sensor device configured for sensing an ambient parameter selected from one of a temperature, chemical species, strain, pressure or torque of a rotating axis.

14. The acoustic wave sensor device of claim 3, wherein the bulk substrate comprises a Si bulk substrate or a sapphire bulk substrate.

15. The acoustic wave sensor device of claim 4, wherein at least one of the first and second reflection structures comprises a groove or an edge reflection structure or a short reflector comprising not more than three electrodes.

16. The acoustic wave sensor device of claim 15, wherein an upper surface of the second resonance cavity comprises a physical and/or chemical modification as compared to an upper surface of the first resonance cavity.

17. The acoustic wave sensor device of claim 16, wherein the physical and/or chemical modification comprises a metallization layer or passivation layer formed on the upper surface of the second resonance cavity.

18. The acoustic wave sensor device of claim 17, wherein extensions lengths of the first resonance cavity and the second resonance cavity differ from each other.

19. The acoustic wave sensor device of claim 18, wherein the first interdigitated transducer is split into two parts, the device further comprising a third reflection structure positioned between the two parts of the first interdigitated transducer.

20. The acoustic wave sensor device of claim 18, wherein the first resonance cavity comprises first resonance sub-cavities separated from each other by first reflection sub-structures of the first reflection structure and the second resonance cavity comprises second resonance sub-cavities separated from each other by second reflection sub-structures of the second reflection structure.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0040] Additional features and advantages of the present disclosure will be described with reference to the drawings. In the description, reference is made to the accompanying figures that are meant to illustrate preferred embodiments of the disclosure. It is understood that such embodiments do not represent the full scope of the disclosure.

[0041] FIG. 1 represents an example of a surface acoustic wave sensor device according to the art.

[0042] FIG. 2 is a schematic illustration of a surface acoustic wave sensor device comprising a transducer split into two parts and a central mirror located between the two parts of the transducer according to an embodiment of the present disclosure.

[0043] FIG. 3 is a schematic illustration of a surface acoustic wave sensor device according to the present disclosure.

[0044] FIG. 4 is a schematic illustration of an embodiment of a surface acoustic wave sensor device comprising cascaded resonance cavities.

[0045] FIG. 5 is a schematic illustration of a cascaded resonance cavity configuration of an acoustic wave sensor device wherein the transducer does not operate at the Bragg condition.

[0046] FIG. 6 is a schematic illustration of another cascaded resonance cavity configuration of an acoustic wave sensor device wherein the transducer does not operate at the Bragg condition.

[0047] FIG. 7 is a schematic illustration of a combined acoustic wave pressure and temperature sensor device according to an embodiment of the present disclosure.

[0048] FIG. 8 is a schematic illustration of a combined acoustic wave pressure and temperature sensor device according to another embodiment of the present disclosure.

[0049] FIG. 9 illustrates coordinates and angles of a piezoelectric plate.

[0050] FIG. 10 illustrates coordinates and angles of a triple-rotated crystal cut.

DETAILED DESCRIPTION

[0051] The present disclosure provides acoustic wave sensors, in particular, passive SAW sensors, that are characterized by a high signal-to-noise ratio, sensitivity and reliability, in particular, robustness against environmental influences and residual stresses not resulting from variations of the measurand, and high accuracy of differential measurements. These advantages are, particularly, achieved by using a piezoelectric quartz material layer providing resonance cavities that is characterized by a plane surface resulting from a crystal cut defined at angles φ in the range of −14° to −24°, θ in the range of −25° to −45° and ψ in the range of +8° to +28° according to the IEEE 176 1949 Standards on Piezoelectric Crystals, 1949 from 12-12-1949.

[0052] With respect to temperature measurements, for example, the obtainable resonance frequency sensitivity allows for a differential measurement sensitivity of more than 1 ppm per Kelvin. The acoustic wave sensors can be interrogated by any interrogators that are configured to determine a response spectrum from an interrogated acoustic wave sensor. The interrogated acoustic wave sensor can, for example, be a resonator device, for example, a differential SAW sensor. It goes without saying that embodiments of the disclosure can be implemented in any devices employing acoustic wave sensors or dielectric resonators, RLC circuits, etc.

[0053] The interrogation device (also called unit) interrogating one of the inventive acoustic wave sensor devices may comprise a transmission antenna for transmitting an RF interrogation signal to the sensor device and a reception antenna for receiving a radiofrequency response signal from the sensor device. The radiofrequency interrogation signal transmitted by the transmission antenna may be generated by a signal generator that may comprise a radiofrequency synthesizer or controlled oscillator as well as optionally some signal shaping module providing a suitable frequency transposition and/or amplification of the signal to be transmitted by the transmission antenna. The radiofrequency interrogation signal generated by the signal generator may be a pulsed or burst signal with a frequency selected according to the resonance frequency of the acoustic wave sensor device. It is noted that the emission antenna and the reception antenna may be the same antenna. In this case, the emission and reception processes should be synchronized with each other, for example, by means of a suitably controlled switch.

[0054] Furthermore, the interrogation device may comprise a processing means connected to the reception antenna. The processing means may comprise filtering and/or amplification means and be configured for analyzing the RF response signal received by the reception antenna. For example, the sensor device operates at a resonance frequency of 434 MHz or 866 MHz or 915 MHz or 2.45 GHz (the ISM bands).

[0055] The interrogation device may transmit a long RF pulse and after the transmission has been stopped, the resonance cavities of the sensor device discharge at their resonant eigen-frequencies with time constants τ equal to Qf/πF wherein F is the central frequency and Qf is the quality factor of the resonance, Qf corresponding to the ratio between the resonance central frequency and the width at half maximum of the band pass used in the interrogation process. For instance, Qf corresponds to the resonance quality factor estimated on the real part of the resonator admittance (the conductance) when the latter is designed to operate at the resonance. Spectral analysis performed by the processing means of the interrogation device allows for calculating the resonator frequency/frequencies and, thereby, the sensing of an ambient parameter. The received RF response signal may be mixed by the processing means with RF interrogation signal according to the so-called I-Q protocol as known in the art to extract the real and imaginary parts (in-phase components I=Y cos φ and quadrature components Q=Y sin φ with the signal amplitude Y and the signal phase φ) from which the modulus and phase can then be derived.

[0056] FIG. 2 illustrates an exemplary embodiment of an inventive surface acoustic wave (SAW) sensor device 20. The sensor device 20 shown in FIG. 2, as well as the sensor devices described below, are formed using a quartz material layer Q as a piezoelectric layer. The quartz material layer Q may be a quartz bulk substrate. Alternatively, the quartz layer Q may be formed over some non-piezoelectric bulk substrate, for example, a Si substrate, i.e., the quartz material layer Q may be part of a piezo-electric-on-insulator (POI) substrate. The quartz layer may be bonded to the non-piezoelectric bulk substrate by way of a (dielectric) bonding layer as, for instance, a silicon oxide layer. A so-called trap-rich layer (e.g., polycrystalline silicon) can be present at the interface with the non-piezoelectric bulk substrate.

[0057] In the embodiment shown in FIG. 2, as well as the other embodiments described below, the quartz material layer Q comprises an upper operating planar surface and the planar surface of the quartz material layer Q is defined by a crystal cut of a quartz material of the quartz material layer with angles φ in the range of −14° to −24°, θ in the range of −25° to −45° and ψ in the range of +8° to +28°, the angles being defined in accordance with the IEEE 176 1949 Standards on Piezoelectric Crystals, 1949 from 12-12-1949. It is this particular cut family that provides the advantages mentioned and described above.

[0058] A SAW sensor device according to an embodiment of the present disclosure, for example, the SAW sensor device 20 shown in FIG. 2, comprises a transducer. In the embodiment shown in FIG. 2 the transducer is split into a first part T1 and a second part T2 (or a first transducer T1 and a second transducer T2). The transducers T1 and T2 may be interdigitated (comb) transducers connected to an antenna (not shown in FIG. 2) for receiving an electromagnetic wave and converting the electromagnetic wave into a surface acoustic wave. In fact, the first and second parts of the transducer T1 and T2 operate in parallel (thereby functioning as one single transducer) and receive an electromagnetic wave E1 and convert the received electromagnetic wave E1 into a surface acoustic wave that after reflection by the mirrors is sensed again by the two parts of the transducer T1 and T2 and converted back into an RF signal S1. The back-converted acoustic wave is in course transmitted by the antenna (or another antenna) as an RF response signal.

[0059] In the shown example, the first part of the transducer T1 and the second part of the transducer T2 share one Bragg mirror structure M1 that is positioned between them. The surface acoustic wave sensor device 20 comprises a second Bragg mirror structure M2 that is separated from the first part of the transducer T1 by a resonance cavity of the length g1. Further, the surface acoustic wave sensor device 20 comprises a third Bragg mirror structure M3 that is separated from the second part of the transducer T2 by a resonance cavity of the length g2>g1. It should be noted that, in principle, the two resonance cavities may have the same lengths or g1<g2 may hold. Changing the length of one of the resonance cavities translates to locally modifying the wave propagation conditions of the generated surface acoustic waves.

[0060] The surface acoustic wave sensor device 20 (as well as the devices described below with reference to other ones of the figures) may operate at Bragg conditions with wavelengths of the excited surface acoustic waves of some multiples of the pitches of the comb electrodes of the comb transducer. When operation is performed at Bragg conditions the comb transducer itself substantially functions as a mirror. However, in operation situations in that the reflection coefficient of the transducer is not strong enough to allow for a clear enough separation between the individual resonance cavities it is advantageous to split the transducer into the two parts T1 and T2 and arrange a mirror M1 between them as shown in FIG. 2. Improving the cavity resonance separation by way of the split transducer and the additional mirror is particularly useful for operating with Rayleigh or more generally elliptically polarized waves.

[0061] It is noted that the electrodes of the first and second parts T1 and T2 of the transducer may be made of or comprise Al or AlCu. The use of materials with relatively high atomic numbers like, for instance, molybdenum or gold or platinum or tantalum or tungsten may allow for larger reflection coefficients. In that case, there may be no need for an additive mirror in between the gap of the split transducer, and the transducer split itself may not be required.

[0062] For the sake of electrical response optimization, the first and second parts T1 and T2 of the transducer may exhibit different lengths (perpendicular to the traveling direction of the surface waves) and/or apertures as the two resonance cavities with different surface conditions exhibit different physical properties, which may yield to unbalanced contributions of the corresponding modes to the sensor electrical responses. For example, a metalized resonance cavity may exhibit more losses (due to the metal properties itself or the degradation of surface roughness, for instance) than a resonance cavity with a free surface. Therefore, it may be useful to increase the length of one of the two parts of the transducers to compensate for enhanced losses in the corresponding cavity and therefore provide balanced contributions of the resonance modes. However, this approach may also substantially modify the overall electrical response of the sensor, actually loading the transducer, which does not suffer from the additional leakage caused by the physical and/or chemical modification, with some static capacitance of the modified transducer. In this context, one might reduce the aperture of the modified transducer to benefit from the extended length yielding an enhanced signal strength and narrower transducer bandwidth and control its static capacitance to preserve the electrical sensor response. In that situation, the central mirror may actually exhibit the acoustic aperture of the largest of the two transducers to guarantee an optimal acoustic operation on both sides of the sensor device 20.

[0063] The mirror gratings of the second Bragg mirror structure M2 and of the third Bragg mirror structure M3 may differ from each other and may be suitably adapted to result in optimum resonance conditions.

[0064] According to the embodiment illustrated in FIG. 2, the upper surface of the resonance cavity with length g1 comprises a physical and/or chemical modification as compared to the upper surface of the resonance cavity with length g2. Alternatively, the upper surface of the resonance cavity with length g2 could comprise a physical and/or chemical modification as compared to the upper surface of the resonance cavity with length g1. However, no surface modification may be present in other alternative embodiments.

[0065] There is a variety of means for providing the physical and/or chemical modifications in order to achieve propagating wave modes that exhibit differential parametric sensitivities. These means, for example, include realization of the physical and/or chemical modifications by the formation of a metallization layer and/or passivation layer. A metallization layer of some 100 nm thickness may be formed on the region of the resonance cavity of length g1, for example; no metallization layer may be formed on the resonance cavity of length g2. The metallization layer may be formed of the same material as the electrodes of the transducer T and/or the Bragg mirror structure M1 and/or the Bragg mirror structure M2.

[0066] When the same material is used for the metallization and the formation of the comb transducer T and electrodes of the Bragg mirror structures M1 and M2, all of these elements can be deposited in the same deposition process. In other embodiments a different material is used for the metallization. For example, one metallization layer or passivation layer of one material is formed on the first resonance cavity of length g1 and another metallization layer or passivation layer of another material is formed on the second resonance cavity of length g2. According to another example, a positive-temperature shifting material, for example, SiO.sub.2 or Ta.sub.2O.sub.5, is formed on one of the resonance cavities and a negative-temperature shifting material, for example, Si.sub.3N.sub.4 or AlN, or no additional material is formed on the other one of the resonance cavities.

[0067] Passivation may be realized by forming a passivation layer made of or comprising Si.sub.3N.sub.4, Al.sub.2O.sub.3 or AlN. According to other embodiments, material layers can be formed on both resonance cavities. Moreover, material layers formed on one or more of the resonance cavities may have inhomogeneous thicknesses along the direction of propagation of the acoustic waves. Further, multi-layers may be formed on one or more of the resonance cavities. In this context, it should be noted that, in general, provision of a material layer on a resonance cavity may result in a reduction of the phase velocity of acoustic waves due to mass loading effects, particularly, if layers of a material of a high atomic number, as Pt, Au or W, are used. This effect can be compensated by adding a layer exhibiting a relatively high acoustic velocity, for example, AlN, Si.sub.3N.sub.4, Al.sub.2O.sub.3, adjacent to the quartz material layer. The resonance cavities exhibit different sensitivities to measurands due to the provided different resonance characteristics caused by different treatments of the surfaces and, thus, allow for differential measurements.

[0068] Alternatively or additionally, the physical and/or chemical modification may comprise a recess of the surface of the resonance cavity with length g1 with respect to the surface of the resonance cavity with length g2. Such kind of modification may be particularly advantageous for a POI substrate with a piezoelectric layer of a thickness that is less than one wavelength of the generated acoustic wave. According to further embodiments the resonance cavity with length g1 comprises another physical and/or chemical modification that is different from the one of the resonance cavity with length g2. All combinations of the named modifications are envisaged as long as the modifications of the surfaces of the cavities differ from each other in order to guarantee different resonance characteristics of the resonance cavities. It has to be understood that the thus described surface modification of a resonance cavity can be provided for any of the embodiments disclosed herein.

[0069] It is, furthermore, noted that the configuration of the sensor device 20 shown in FIG. 2 may comprise tapered transducers with lateral extensions of the electrodes (perpendicular to the direction of propagation of the generated acoustic waves) varying along the lengths of the transducers in order to suppress transverse modes of the acoustic waves. For the same purpose, some mass loads may be provided at the edges of the electrodes.

[0070] In the above-described embodiment, Bragg mirrors are provided in order to form the resonance cavities. However, according to alternative embodiments one or more of the Bragg mirrors may be replaced by side/edge reflection structures for pure shear mode guidance both in the configuration shown in FIG. 2 and the embodiments described below. Thereby, very compact configurations can be achieved in that the Bragg reflection is replaced by a flat surface reflection without any energy loss or mode conversion. Configurations with side/edge reflection structures for pure shear mode guidance are particularly useful for sensing ambient parameters in liquids. Shear waves are very suitable for in-liquid probing. Particularly, highly coupled modes (>5%) together with high-k materials (with a dielectric constant k larger than 30, for example) are attractive for in-liquid applications. According to other embodiments, one or more reflection structures are realized in the form of short reflectors comprising not more than three electrodes.

[0071] FIG. 3 shows another embodiment of a SAW sensor device 30. The SAW sensor device 30 comprises an interdigitated transducer T connected to an antenna (not shown in FIG. 3) for receiving an electromagnetic wave E1 and converting the electromagnetic wave E1 into a surface acoustic wave. The comb transducer T comprises interdigitated electrodes. Two SAW resonance cavities R1 and R2 with extensions (gaps) g1 and g2, respectively, are provided between the comb transducer T and Bragg mirrors M1 and M2, respectively. Thus, different from the embodiment shown in FIG. 2, the transducer T is not split into two parts (parts T1 and T2 shown in FIG. 2). The transducer may show a 40λ acoustic aperture. The description of all other features made with reference to the configuration shown in FIG. 2 also holds for the configuration shown in FIG. 3.

[0072] In the above-described embodiments that comprise Bragg mirrors, simple resonance cavities are employed. However, these embodiments may, alternatively, employ cascaded resonance cavities comprising multiple mirror electrode structures. The spectral distance between the two resonances as well as the coupling coefficient of the resonances can be controlled by the number of the mirror electrode structures and resonance sub-cavities.

[0073] An exemplary embodiment of an acoustic wave sensor 40 comprising cascaded resonance cavities is shown in FIG. 4. In this embodiment three-mirror electrode structures separated by gaps g1 and g2 resulting in resonance sub-cavities are provided on each side of the IDT. Different widths of the cavities g1 and g2 may result in a limitation of the number of 50Ω matched resonances to only two, which is different to more than two resonances that arise in the previously described embodiments. The distance between the two resonances as well as the coupling coefficient of the resonances can be controlled by the number of the mirror electrode structures and resonance sub-cavities.

[0074] In the case of using cascaded resonator cavities, it is possible to use a transducer that does not operate at the Bragg condition. For instance, the transducer may exhibit three or four fingers per wavelength or even five fingers per two wavelengths and in general all suitable structures that allow exciting waves at a given synchronism without wave reflection on the IDT electrodes.

[0075] Two examples for possible configurations in this respect are shown in FIGS. 5 and 6. According to one configuration (see FIG. 5) an acoustic wave sensor 50 comprises smaller mirrors that are arranged close to the transducer and larger mirrors separated by distances g1 and g2, respectively, from the smaller mirrors are additionally provided to guarantee resonances in the resonance cavities. FIG. 6 illustrates a configuration of an acoustic wave sensor 60 for which, on the-left-hand side, no Bragg condition is fulfilled for the operation of the transducer. One or more of the resonance cavities may be physically and/or chemically modified as it is described above. It is worth noting that in the examples shown in FIGS. 5 and 6, some supplementary resonances are established in the IDT region itself, i.e., the IDT operates as a supplementary cavity, which could potentially be used to complete the measurements.

[0076] In general, the acoustic wave sensor device according to each of the above-described examples may be a passive surface acoustic wave sensor device configured for sensing an ambient parameter, for example, one of a temperature, chemical species, strain, pressure or torque of a rotating axis.

[0077] A single acoustic wave sensor device according to the above-described embodiments may be supplemented by one or more additional acoustic wave sensor devices. For example, thereby combined acoustic wave pressure and temperature sensor devices can be realized as it is exemplarily illustrated in FIGS. 7 and 8. The combined acoustic wave pressure and temperature sensor device 100 shown in FIG. 7 comprises a first transducer T101 of a first sensor device and a second transducer T102 of a second sensor device. In principle, the second transducer T102 may be part of both the first and the second sensor device. The transducers T101 and T102 may be interdigitated (comb) transducers connected to an antenna for receiving an electromagnetic wave and converting the electromagnetic wave into a surface acoustic wave.

[0078] The second sensor device comprising the second transducer T102 is configured for sensing an ambient temperature. The first sensor device comprising the first transducer T101 is configured for sensing a pressure in accordance with the above-described embodiments. Additionally, the first sensor device may be also configured for sensing the ambient temperature. In this case, with respect to the sensing of the ambient temperature the first and second sensor devices constitute a differential acoustic wave temperature sensor device.

[0079] The first sensor device comprises a first Bragg mirror structure M101 that is separated from the first transducer T101 by a first resonance cavity of the length g1. Furthermore, the first sensor device comprises a second Bragg mirror structure M102 that is separated from the first transducer T101 by a second resonance cavity of the length g2. The first sensor device may comprise a single transducer. Alternatively, it may comprise the configuration with two transducers and a central additional Bragg mirror located between the two transducers as described with reference to FIG. 2. The second sensor device comprises a third Bragg mirror structure M103 that is separated from the second transducer T102 by a third resonance cavity of the length g3 that may or may not differ from the lengths g1 and/or g2 of the first and second cavities, respectively. All these structures may be formed on/over a quartz material substrate 111 resulting from the above-described crystal cut.

[0080] Another cavity with a length g4 is formed between the second Bragg mirror structure M102 and the second transducer T102. The cavity with the length g4 as well as the third Bragg mirror structure M103 of the second sensor device are not formed on the above-described quartz material layer or quartz material substrate 111 that is subject to the above-described bending when some external pressure is applied.

[0081] In particular, the upper surface of the first resonance cavity with length g1 and/or the upper surface of the resonance cavity with length g2 may or may not comprise some surface modification as it was described above.

[0082] Without modification the first and second upper surfaces are free (exposed) surfaces, particularly, free surfaces of a piezoelectric layer of the combined acoustic wave pressure and temperature sensor device.

[0083] FIG. 8 shows an alternative configuration to the one illustrated in FIG. 7. As compared to the configuration illustrated in FIG. 7 according to the embodiment shown in FIG. 8 the combined acoustic wave pressure and temperature sensor device 200 comprises only three rather than four cavities.

[0084] The combined sensor device 200 shown in FIG. 8 comprises a first transducer T201 of a first sensor device and a second transducer T202 of a second sensor device. The second sensor device comprising the second transducer T202 is configured for sensing an ambient temperature. The transducers T201 and T202 may be interdigitated (comb) transducers connected to an antenna for receiving an electromagnetic wave and converting the electromagnetic wave into a surface acoustic wave. The first sensor device comprising the first transducer T201 is configured for sensing a pressure in accordance with the above-described embodiments. Additionally, the first sensor device may be also configured for sensing the ambient temperature. In this case, with respect to the sensing of the ambient temperature the first and second sensor devices constitute a differential acoustic wave temperature sensor device.

[0085] The first sensor device comprises a first Bragg mirror structure M201 that is separated from the first transducer T201 by a first resonance cavity of the length g1. Furthermore, the first sensor device comprises a second Bragg mirror structure M202 that is separated from the first transducer T201 by a second resonance cavity of the length g2. The first sensor device of the combined acoustic wave pressure and temperature sensor device 200 may comprise a single transducer. Alternatively, it may comprise the configuration with two transducers and a central additional Bragg mirror located between the two transducers as described with reference to FIG. 2. The second sensor device comprises a third Bragg mirror structure M203 that is separated from the second transducer T202 by a third resonance cavity of the length g3 that may or may not differ from the lengths g1 and/or g2 of the first and second cavities, respectively. According to the embodiment shown in FIG. 8, the combined sensor device 200 comprises no resonance cavity between the second Bragg mirror structure M202 and the second transducer T202.

[0086] The cavity with the length g3 as well as the third Bragg mirror structure M203 of the second sensor device are not formed on the above-described quartz material layer that is subject to the above-described bending. The combined sensor device 200 shown in FIG. 8 may, furthermore, comprise a supporting substrate, lid and/or seals as known in the art.

[0087] Again, the upper surface of the first resonance cavity with length g1 and/or the upper surface of the resonance cavity with length g2 may or may not comprise some surface modification as it was described above.

[0088] All previously discussed embodiments are not intended as limitations but serve as examples illustrating features and advantages of the disclosure. It is to be understood that some or all of the above described features can also be combined in different ways.

[0089] In the present disclosure, crystal cuts are defined in accordance with the IEEE 176 1949 Standards on Piezoelectric Crystals, 1949 from 12-12-1949. In that standard, a crystal cut for SAW applications is uniquely defined by three angles, namely φ and θ defining the rotation of the crystal according a reference configuration of the crystal and ψ a propagation direction defined in the plane (φ, θ) that indicates the direction toward which the waves are propagating and hence the position of the transducer capable to launch the waves. Y and X denote crystalline axes considered as references for the definition of the initial state of the crystal plate. The first one is the axis normal to the plate, whereas the second axis lies along the length of the plate. The plate is assumed to be rectangular, characterized by its length l, its width ψ and its thickness t (see FIG. 9). The length l is lying along the crystalline axis X, the width ψ is along the Z axis and the thickness t along the Y axis considering the given (YX) axis system. Note that the case of (YXwlt)/0°/0°/0° actually coincides to the configuration shown in FIG. 9.

[0090] Assuming now that none of the angles is zero, we consider the general case of a triple-rotation or triply-rotated cut. In that situation, the quartz crystal has a cutting plane (X″, Z″) defined with respect to the cutting plane (X, Z) and in a reference system (X″, Y″, Z″), where X, Y, Z are crystallographic axes of quartz, a direction of propagation of the waves being defined along an axis X′″, a first cutting plane (X′, Z′) being defined by rotation by an angle φ about the axis Z of the plane (X, Z) so as to define a first reference system (X′, Y′, Z′) with an axis Z′ that is the same as the axis Z, a second cutting plane (X″, Z″) being defined by rotation by an angle θ about the axis X′ of the plane (X′, Z′) so as to define a second reference system (X″, Y″, Z″) with the axis X″ being the same as the axis X′, the direction of propagation along the axis X′″ being defined by rotation by an angle ψ of the axis X″, in the plane (X″, Z″) about the axis Y″, as shown in FIG. 10.

[0091] Some symmetry rules are recalled hereafter for quartz. Quartz is a trigonal crystal of class 32. Therefore, it is characterized by a ternary axis, i.e., the Z axis around which one can establish the relation:

(YXw)/φ=(YXw)/φ+120°

[0092] The two other axes are binary and, therefore, the following symmetry relations hold:

(YXl)/θ=(YXl)/θ+180°,(YXt)/ψ=(YXt)/ψ+180°

[0093] For simple geometrical reasons, it is easy to demonstrate that the following set of axes are equivalent:

(YXwlt)/+φ/+θ/+ψ=(YXwlt)/−φ/+θ/−ψ

[0094] Actually, assuming that the upper face is identified by the plus sign for φ (the face where the surface wave is assumed to propagate), the bottom face of the plate is obtained by changing the sign to minus. Considering that the symmetry operation does not change the sign of ψ one would assume that the direction of Z′″ on the bottom side is unchanged but actually it is rotated by 180°. Therefore, to recover the top surface situation, it is mandatory to apply a 180° rotation on ψ, which actually is equivalent to a sign change. Note that for crystal cuts without rotation around Z (φ=0°, the following symmetry is effective: (YXlt/+θ/+ψ=(YXlt/+θ/−ψ.