The present disclosure relates to micro-electrical-mechanical systems (MEMS) devices, and specifically to MEMS devices including functional layers.
Micro-electrical-mechanical systems (MEMS) devices come in a variety of different types and are utilized across a broad range of applications. One type of MEMS device that may be used in applications such as radio frequency (RF) circuitry is a MEMS vibrating device. A MEMS vibrating device generally includes a vibrating body supported by at least one anchor and including a piezoelectric thin-film layer in contact with one or more conductive layers. As an electrical signal is presented to one or more of the conductive layers, the piezoelectric properties of the thin-film layer cause the layer to mechanically deform. The mechanical deformation of the thin-film layer in turn causes changes in the electrical characteristics of the thin-film layer, which may be utilized by circuitry connected to the device to perform one or more functions.
In operation, the conventional MEMS vibrating device 10 can be operated as a piezoelectric transducer or a piezoelectric and electrostatic transducer. When the conventional MEMS vibrating device 10 is operated as a piezoelectric transducer, an alternating current (AC) voltage provided to the first conductive layer 24, the second conductive layer 26, or both, causes mechanical deformations in the piezoelectric thin-film layer 22, which present an electrical impedance that is dependent on the mechanical deformations in the piezoelectric transducer between the first conductive layer 24 and the second conductive layer 26. When the conventional MEMS vibrating device 10 is operated as a piezoelectric and electrostatic transducer, an AC voltage provided to the first conductive layer 24, the second conductive layer 26, or both, causes mechanical deformations in the piezoelectric thin-film layer 22, which present an electrical impedance that is dependent on the mechanical deformations in the piezoelectric transducer between the first conductive layer 24 and the second conductive layer 26 as discussed above. Further, a direct current (DC) voltage provided to the first conductive layer 24, the second conductive layer 26, or both, causes changes in the charge of the piezoelectric thin-film layer 22, which, along with the mechanical deformations caused by the AC voltage discussed above, vary a capacitance and acoustic length between the first conductive layer 24 and the second conductive layer 26. In some cases, the DC voltage may be varied to fine tune the response of the conventional MEMS vibrating device 10 to the AC voltage. That is, the electrostatic characteristics of the conventional MEMS vibrating device 10 may be utilized to adjust or tune the piezoelectric characteristics of the conventional MEMS vibrating device 10 in some circumstances. Further, the DC voltage may be modulated with a low frequency signal that is effectively mixed with the AC voltage.
As discussed in U.S. Pat. No. 8,035,280 issued to RF Micro Devices of Greensboro, N.C., the content of which is hereby incorporated by reference in its entirety, the piezoelectric thin-film layer 22 may be periodically poled. Accordingly,
Each domain 30 is defined by a width WD and a thickness TD. In general, the widths of the nominal domain 30 and the inverted domain 30′ do not have to be equal and may be denoted separately by WD and WD′. In a predominately lateral vibrational mode of the conventional MEMS vibrating device 10, the width WD (and/or length LD, which is shown below in
Due to the orientation of the domains 30 in the periodically poled piezoelectric thin-film layer 22, the periodically poled piezoelectric thin-film layer 22 will generally experience a greater amount of mechanical deformation in response to an electrical signal than conventional piezoelectric thin-film layers having a uniform dipole orientation throughout. Accordingly, using a periodically poled piezoelectric thin-film layer 22 in the conventional MEMS vibrating device 10 allows for the use of a flat or solid first conductive layer 24 and second conductive layer 26 since a desired amount of mechanical deformation of the piezoelectric thin-film layer 22 can be achieved without specialized conductive layer configurations such as inter-digitally transduced (IDT) conductive layers. Using flat or solid conductive layers increases the power handling capability of the conventional MEMS vibrating device 10. Further, using a periodically poled piezoelectric thin-film layer 22 in the conventional MEMS vibrating device 10 may increase the frequency of operation of the conventional MEMS vibrating device 10 two-fold when compared to MEMS devices utilizing piezoelectric thin-film layers having a uniform dipole orientation throughout.
While using periodically poled piezoelectric thin-film layers in MEMS devices may lead to performance enhancements thereof, the particular functionality of these MEMS devices is still rather limited. For example, the conventional MEMS vibrating device 10 discussed above has only limited functionality as a piezoelectric transducer and/or an electrostatic transducer. Accordingly, there is a need for MEMS devices that are adaptable to a wide variety of applications including electrical signal processing, mechanical signal processing, optical signal processing, electro-magnetic signal processing, wireless signal processing, and the like.
The present disclosure relates to micro-electrical-mechanical systems (MEMS) devices, and specifically to MEMS devices including functional layers. In one embodiment, a MEMS device includes a substrate, at least one anchor on a surface of the substrate, and a vibrating body suspended over the substrate by the at least one anchor. The vibrating body includes a periodically poled piezoelectric thin-film layer, a first conductive layer, a second conductive layer, and a functional layer. The first conductive layer is on a first surface of the vibrating body opposite the surface of the substrate. The second conductive layer is on a second surface of the vibrating body opposite the first surface. The functional layer is over the first conductive layer. By including the functional layer over the first conductive layer, functionality may be added to the MEMS device, thereby increasing the utility thereof.
In one embodiment, the functional layer is between about 0.001 times a width of a nominal domain plus a width of an inverted domain in the periodically poled piezoelectric thin-film layer and 10 times the width of the nominal domain plus the width of the inverted domain. Further, the functional layer may be one of a dielectric material, a semiconductor material, an optically transparent material, an optically active material, a ferroelectric material, a pyroelectric material, and a ferromagnetic material. Using a functional layer that is one of a dielectric material, a semiconductor material, an optically transparent material, an optically active material, a ferroelectric material, a pyroelectric material, a magnetostrictive material, and a ferromagnetic material allows functionality to be added to the MEMS device, thereby increasing the utility thereof.
In one embodiment, the functional layer comprises a piezoelectric material. Further, the MEMS device may include a third conductive layer over the functional layer, and in some embodiments an additional functional layer over the second conductive layer and a fourth conductive layer over the additional functional layer. In this embodiment, an electrical response between the first conductive layer and the second conductive layer may be tuned based upon a signal provided to the third conductive layer, the fourth conductive layer, or both, due to one or more mechanical changes in the vibrating body as a result thereof. By including the functional layer and the additional functional layer and operating them as described, one or more properties of the vibrating body may be adjusted or tuned, thereby increasing the utility of the MEMS device.
Those skilled in the art will appreciate the scope of the disclosure and realize additional aspects thereof after reading the following detailed description in association with the accompanying drawings.
The accompanying drawings incorporated in and forming a part of this specification illustrate several aspects of the disclosure, and together with the description serve to explain the principles of the disclosure.
The embodiments set forth below represent the necessary information to enable those skilled in the art to practice the disclosure and illustrate the best mode of practicing the disclosure. Upon reading the following description in light of the accompanying drawings, those skilled in the art will understand the concepts of the disclosure and will recognize applications of these concepts not particularly addressed herein. It should be understood that these concepts and applications fall within the scope of the disclosure and the accompanying claims.
It will be understood that, although the terms first, second, etc. may be used herein to describe various elements, these elements should not be limited by these terms. These terms are only used to distinguish one element from another. For example, a first element could be termed a second element, and, similarly, a second element could be termed a first element, without departing from the scope of the present disclosure. As used herein, the term “and/or” includes any and all combinations of one or more of the associated listed items.
Relative terms such as “below” or “above” or “upper” or “lower” or “horizontal” or “vertical” may be used herein to describe a relationship of one element, layer, or region to another element, layer, or region as illustrated in the Figures. It will be understood that these terms and those discussed above are intended to encompass different orientations of the device in addition to the orientation depicted in the Figures.
The terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the disclosure. As used herein, the singular forms “a,” “an,” and “the” are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will be further understood that the terms “comprises,” “comprising,” “includes,” and/or “including” when used herein specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof.
Unless otherwise defined, all terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this disclosure belongs. It will be further understood that terms used herein should be interpreted as having a meaning that is consistent with their meaning in the context of this specification and the relevant art and will not be interpreted in an idealized or overly formal sense unless expressly so defined herein.
In operation, the MEMS vibrating device 34 may operate as described above. Further, due to the functional layer 52, the MEMS vibrating device 34 may perform additional functions as discussed below. The substrate 36 may be a semiconductor such as silicon, a piezoelectric material such as lithium niobate or lithium tantalate, or a purely dielectric material such as glass or fused silica. The anchors may be an insulating material such as silicon oxide. The piezoelectric thin-film layer 46 may be lithium niobate, lithium tantalate, or any other suitable piezoelectric material. As discussed above, the piezoelectric thin-film layer 46 may be periodically poled, as shown in either
The functional layer 52 may be a piezoelectric material, a semiconductor material, an optically transparent material, an optically active material, a ferroelectric material, a pyroelectric material, a ferromagnetic material, or some combination thereof. In general, the functional layer 52 is a material with one or more desired functional properties that may be modulated via mechanical deformation of the material. Providing the functional layer 52 on the vibrating body 42 may allow the MEMS vibrating device 34 to simultaneously perform multiple functions, or may enhance the performance of the MEMS vibrating device 34. For example, providing a functional layer 52 of semiconductor or dielectric material over the first conductive layer 48 may improve the heat dissipation characteristics of the MEMS vibrating device 34, thereby improving the overall performance thereof. As an additional example, providing a functional layer 52 of optically transparent or active material may allow the MEMS vibrating device 34 to modulate an optical signal, such as an incident beam of light or a beam of light traveling through the functional layer 52. As yet another example, providing a functional layer 52 of ferromagnetic material may allow the MEMS vibrating device 34 to modulate a magnetic field surrounding the device or vice versa.
Providing the third conductive layer 58 allows an electrical signal to be provided to the functional layer 52, which may be used to implement additional functionality of the MEMS vibrating device 34. For example, the functional layer 52 may be a piezoelectric material, such that electrical signals delivered to the third conductive layer 58 result in mechanical deformation of the functional layer 52. Because mechanical deformation of the functional layer 52 will cause a similar mechanical deformation of the piezoelectric thin-film layer 46, which will in turn change the response of the piezoelectric thin-film layer 46 to signals provided to the first conductive layer 48, the second conductive layer 50, or both, signals provided to the third conductive layer 58 may thus be used to adjust or tune the MEMS vibrating device 34 in some embodiments. In other embodiments, signals provided to the third conductive layer 58 may be used to further modulate one or more other properties of the functional layer 52.
Providing the functional layer 52, the additional functional layer 60, the third conductive layer 58, and the fourth conductive layer 62 may provide additional functionality of the MEMS vibrating device 34. For example, in one embodiment wherein the functional layer 52 and the additional functional layer 60 are piezoelectric materials, the third conductive layer 58 and the fourth conductive layer 62 may be utilized to provide electrical signals thereto. As signals are delivered to the third conductive layer 58, the fourth conductive layer 62, or both, the functional layer 52, the additional functional layer 60, or both, will mechanically deform. This results in a similar mechanical deformation of the piezoelectric thin-film layer 46, which may change the response of the piezoelectric thin-film layer 46 to signals provided to the first conductive layer 48, the second conductive layer 50, or both. Accordingly, signals provided to the third conductive layer 58, the fourth conductive layer 62, or both, may be used to adjust or tune the behavior of the MEMS vibrating device 34 in some embodiments. In other embodiments, signals provided to the third conductive layer 58, the fourth conductive layer 62, or both, may be used to further modulate one or more properties of the functional layer 52, the additional functional layer 60, or both.
Those skilled in the art will recognize improvements and modifications to the embodiments of the present disclosure. All such improvements and modifications are considered within the scope of the concepts disclosed herein and the claims that follow.
This application claims the benefit of U.S. provisional patent application Ser. No. 61/975,331, filed Apr. 4, 2014, the disclosure of which is incorporated herein by reference in its entirety.
Number | Name | Date | Kind |
---|---|---|---|
4350916 | August et al. | Sep 1982 | A |
4798989 | Miyazaki et al. | Jan 1989 | A |
5504772 | Deacon | Apr 1996 | A |
5565725 | Nakahata et al. | Oct 1996 | A |
5739624 | Kleiman | Apr 1998 | A |
6249073 | Nguyen et al. | Jun 2001 | B1 |
6336366 | Thundat et al. | Jan 2002 | B1 |
6349454 | Manfra et al. | Feb 2002 | B1 |
6437486 | Burcsu et al. | Aug 2002 | B1 |
6767749 | Kub et al. | Jul 2004 | B2 |
6819812 | Kochergin | Nov 2004 | B2 |
6909221 | Ayazi et al. | Jun 2005 | B2 |
7250705 | Dewa et al. | Jul 2007 | B2 |
7315107 | Kando et al. | Jan 2008 | B2 |
7492241 | Piazza et al. | Feb 2009 | B2 |
7586239 | Li et al. | Sep 2009 | B1 |
7626846 | Rao et al. | Dec 2009 | B2 |
7639105 | Ayazi et al. | Dec 2009 | B2 |
7750759 | Lee et al. | Jul 2010 | B1 |
7791432 | Piazza | Sep 2010 | B2 |
7898158 | Li | Mar 2011 | B1 |
8035280 | Li et al. | Oct 2011 | B2 |
8330325 | Burak | Dec 2012 | B1 |
8421558 | Yamane | Apr 2013 | B2 |
8508108 | Anand et al. | Aug 2013 | B2 |
9117593 | Bhattacharjee | Aug 2015 | B2 |
9369105 | Li | Jun 2016 | B1 |
9651376 | Zolfagharkhani | May 2017 | B2 |
20030006676 | Smith et al. | Jan 2003 | A1 |
20030119220 | Mlcak et al. | Jun 2003 | A1 |
20040125472 | Belt | Jul 2004 | A1 |
20040192040 | Peng | Sep 2004 | A1 |
20040202399 | Kochergin | Oct 2004 | A1 |
20040213302 | Fermann | Oct 2004 | A1 |
20050035687 | Xu et al. | Feb 2005 | A1 |
20050184627 | Sano et al. | Aug 2005 | A1 |
20060082256 | Bibl et al. | Apr 2006 | A1 |
20060131997 | Kim et al. | Jun 2006 | A1 |
20070200458 | Yoshino et al. | Aug 2007 | A1 |
20070209176 | Kawakubo et al. | Sep 2007 | A1 |
20070228887 | Nishigaki et al. | Oct 2007 | A1 |
20070284971 | Sano et al. | Dec 2007 | A1 |
20090200894 | Kando et al. | Aug 2009 | A1 |
20100194499 | Wang et al. | Aug 2010 | A1 |
20100237709 | Hall et al. | Sep 2010 | A1 |
20110043895 | Hikmet | Feb 2011 | A1 |
20110181150 | Mahameed et al. | Jul 2011 | A1 |
20120200912 | Hodgson | Aug 2012 | A1 |
20120234093 | Black | Sep 2012 | A1 |
20130250383 | Mater | Sep 2013 | A1 |
20140125201 | Bhattacharjee | May 2014 | A1 |
20140183669 | Xu et al. | Jul 2014 | A1 |
20140210314 | Bhattacharjee et al. | Jul 2014 | A1 |
20140210315 | Bhattacharjee et al. | Jul 2014 | A1 |
20140292155 | Ballandras | Oct 2014 | A1 |
20160317228 | Fermann | Nov 2016 | A1 |
Number | Date | Country |
---|---|---|
105823904 | Aug 2016 | CN |
S5778206 | May 1982 | JP |
S5895690 | Jun 1983 | JP |
03042687 | May 2003 | WO |
Entry |
---|
Quayle Action for U.S. Appl. No. 14/071,025, dated Mar. 8, 2016, 6 pages. |
Notice of Allowance for U.S. Appl. No. 14/031,383, dated Mar. 14, 2016, 8 pages. |
Notice of Allowance for U.S. Appl. No. 14/031,454, dated Mar. 4, 2016, 8 pages. |
Aigner, R. et al., “Advancement of MEMS into RF-Filter Applications,” IEDM: International Electron Devices Meeting, Dec. 8-11, 2002, pp. 897-900, San Francisco CA. |
Aigner, Robert et al., “Bulk-Acoustic-Wave Filters: Performance Optimization and Volume Manufacturing,” IEEE MTT-S Digest, 2003, pp. 2001-2004. |
Author Unknown, “An American National Standard: IEEE Standard on Piezoelectricity,” ANSI/IEEE Std 176-1987, Copyright: 1988, 74 pages, The Institute of Electrical and Electronics Engineers, Inc., New York, NY. |
Author Unknown, “Soitec Innovative Process for Materials Treatments—Smart Cut(R),” Soitec, Retrieved: Apr. 20, 2010, 1 page, www.soitec.com. |
Author Unknown, “Standards on Piezoelectric Crystals, 1949,” Proceedings of the I.R.E., Dec. 1949, pp. 1378-1395. |
Bannon, III, Frank D. et al., “High-Q HF Microelectromechanical Filters,” IEEE Journal of Solid-State Circuits, vol. 35, No. 4, Apr. 2000, pp. 512-526. |
Bassignot, F. et al., “A new acoustic resonator concept based on acoustic waveguides using silicon/periodically poled transducer/silicon structures for RF applications,” 2011 Joint Conference of the IEEE International Frequency Control and the European Frequency and Time Forum (FCS), 6 pages. |
Zhu, Yong-Yuan et al., “Ultrasonic Excitation and Propagation in an Acoustic Superlattice,” Journal of Applied Physics, vol. 72, No. 3, Aug. 1, 1992, pp. 904-914. |
Batchko, Robert G. et al., “Backswitch Poling in Lithium Niobate for High-Fidelity Domain Patterning and Efficient Blue Light Generation,” Applied Physics Letters, vol. 75, No. 12, Sep. 20, 1999, pp. 1673-1675. |
Brown, Paul T. et al., “Control of Domain Structures in Lithium Tantalate Using Interferometric Optical Patterning,” Optics Communications, vol. 163, May 15, 1999, pp. 310-316. |
Chandrahalim, Hengky et al., “Channel-Select Micromechanical Filters Using High-K Dielectrically Transduced MEMS Resonators,” Proceedings of the 19th International IEEE Micro Electro Mechanical Systems Conference (MEMS 2006), Jan. 22-26, 2006, pp. 894-897, Istanbul, Turkey. |
Chen, Yan-Feng et al., “High-Frequency Resonance in Acoustic Superlattice of Periodically Poled LiTaO3,” Applied Physics Letters, vol. 70, No. 5, Feb. 3, 1997, pp. 592-594. |
Courjon, E. et al., “Periodically Poled Transducers Built on Single Crystal Lithium Niobate Layers Bonded onto Silicon,” IEEE Ultrasonics Symposium, 2007, pp. 268-271. |
Courjon, E. et al., “Pure Longitudinal Plate Mode Excited by Poled Domains Transducers on LiNbO3,” Proceedings, EFTF*IEEE-FCS'07, May 29-Jun. 1, 2007, pp. 1073-1076. |
Feld, David et al., “A High Performance 3.0 mm×3.0 mm×1.1 mm FBAR Full Band Tx Filter for U.S. PCS Handsets,” Proceedings of the 2002 IEEE Ultrasonics Symposium, pp. 913-918. |
Hannon, John J. et al.., “Lithium Tantalate and Lithium Niobate Piezoelectric Resonators in the Medium Frequency Range With Low Ratios of Capacitance and Low Temperature Coefficients of Frequency,” IEEE Transactions on Sonics and Ultrasonics, vol. SU-17, No. 4, Oct. 1970, pp. 239-246. |
Ho, Gavin K. et al., “High-Order Composite Bulk Acoustic Resonators,” Technical Digest, IEEE Int. Conf. on Micro Electra Mechanical Systems, Jan. 21-25, 2007, pp. 791-794. |
Hsu, Wan-Thai et al., “Stiffness-Compensated Temperature-Insensitive Micromechanical Resonators,” Technical Digest, IEEE International Conference on Micro Electro Mechanical Systems, 2002, pp. 731-734, Las Vegas, NV. |
Iula, Antonio et al.., “A Model for the Theoretical Characterization of Thin Piezoceramic Rings,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 43, No. 3, May 1996, pp. 370-375. |
Kadota, Michio et al., “High Frequency Lamb Wave Resonator using LiNbO3 Crystal Thin Plate and Application to Tunable Filter,” 2010 IEEE International Ultrasonics Symposium Proceedings, 2010, pp. 962-965. |
Kim, Bongsang et al., “Frequency Stability of Wafer-Scale Encapsulated MEMS Resonators,” Proceedings of the 13th International Conference on Solid-State Sensors, Actuators and Microsystems, Jun. 5-9, 2005, Seoul, Korea, pp. 1965-1968. |
Kondo, Jungo et al., “High-Speed and Low-Driving-Voltage Thin-Sheet X-Cut LiNbO3 Modulator with Laminated Low-Dielectric-Constant Adhesive,” IEEE Photonics Technology Letters, vol. 17, No. 10, Oct. 2005, pp. 2077-2079. |
Kovacs, G. et al., “Improved Material Constants for LiNbO3 and LiTaO3,” 1990 Ultrasonics Symposium, Copyright: 1990, pp. 435-438. |
Kumar, A. K. Sarin et al., “High-Frequency Surface Acoustic Wave Device Based on Thin-Film Piezoelectric Interdigital Transducers,” Applied Physics Letters, vol. 85, No. 10, Sep. 6, 2004, pp. 1757-1759. |
Li, Sheng-Shian et al., “Micromechanical ‘Hollow-Disk’ Ring Resonators,” Technical Digest, IEEE International Conference on Micro Electro Mechanical Systems, 2004, pp. 821-824, Maastricht, The Netherlands. |
Li, Sheng-Shian et al., “Self-Switching Vibrating Micromechanical Filter Bank,” Proceedings of the Joint IEEE Int. Frequency Control/Precision Time & Time Interval Symposium, Aug. 29-31, 2005, pp. 135-141, Vancouver, Canada. |
Liu, Xiaoyan et al., “Nanoscale Chemical Etching of Near-Stoichiometric Lithium Tantalate,” Journal of Applied Physics, vol. 97, 2005, pp. 064308-1 to 064308-4. |
Majjad, H. et al., “Low Temperature Bonding of Interface Acoustic Waves Resonators on Silicon Wafers,” Proceedings of the 2005 IEEE Ultrasonics Symposium, 2005, pp. 1307-1310. |
Myers, L. E. et al., “Quasi-Phase-Matched Optical Parametric Oscillators in Bulk Periodically Poled LiNbO3,” J. Opt. Soc. Am. B, vol. 12, No. 11, Nov. 1995, pp. 2102-2116. |
Nakamura, Kiyoshi et al., “Local Domain Inversion in Ferroelectric Crystals and Its Application to Piezoelectric Devices,” 1989 Ultrasonics Symposium, Copyright: 1989, pp. 309-318. |
Onoe, Morio et al., “Zero Temperature Coefficient of Resonant Frequency in an X-Cut Lithium Tantalate at Room Temperature,” Proceedings of the IEEE: Proceedings Letters, Aug. 1969, pp. 1446-1448. |
Ostrovskii, I. V. et al., “Free Vibration of Periodically Poled Ferroelectric Plate,” Journal of Applied Physics, vol. 99, No. 114106, 2006, pp. 114106-1 to 114106-6. |
Osugi, Yukihisa et al., “Single Crystal FBAR with LiNbO3 and LiTaO3 Piezoelectric Substance Layers,” Proceedings of the International Microwave Symposium Jun. 3-8, 2007, pp. 873-876, Honolulu, Hawaii. |
Pastureaud, Thomas et al., “High-Frequency Surface Acoustic Waves Excited on Thin-Oriented LiNbO3 Single-Crystal Layers Transferred Onto Silicon,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 54, No. 4, Apr. 2007, pp. 870-876. |
Piazza, G. et al., “Low Motional Resistance Ring-Shaped Contour-Mode Aluminum Nitride Piezoelectric Micromechanical Resonators for UHF Applications,” Proceedings of the 18th International IEEE Micro Electro Mechanical Systems Conference, Jan. 30-Feb. 3, 2005, pp. 20-23, Miami, Florida. |
Ruby, R. et al., “PCS 1900 MHz Duplexer Using Thin Film Bulk Acoustic Resonators (FBARs),” Electronics Letters, vol. 35, No. 10, May 13, 1999, pp. 794-795. |
Ruby, Richard C. et al., “Thin Film Bulk Wave Acoustic Resonators (FBAR) for Wireless Applications,” 2001 IEEE Ultrasonics Symposium, 2001, pp. 813-821. |
Ruby, Richard et al., “Ultra-Miniature High-Q Filters and Duplexers Using FBAR Technology,” 2001 IEEE International Solid-State Circuits Conference, Feb. 6, 2001, 3 pages. |
Sliker, T. R. et al., “Frequency-Temperature Behavior of X-Cut Lithium Tantalate Resonators,” Proceedings of the IEEE, Aug. 1968, p. 1402. |
Smith, R. T. et al., “Temperature Dependence of the Elastic, Piezoelectric, and Dielectric Constants of Lithium Tantalate and Lithium Niobate,” Journal of Applied Physics, vol. 42, No. 6, May 1971, pp. 2219-2230. |
Stephanou, P. J. et al., “GHz Contour Extensional Mode Aluminum Nitride MEMS Resonators,” Proceedings, IEEE Ultrasonics Symposium, Oct. 3-6, 2006, pp. 2401-2404. |
Stephanou, P.J. et al., “GHz Higher Order Contour Mode ALN Annular Resonators,” IEEE 20th International Conference on Micro Electro Mechanical Systems, Jan. 21-25, 2007, Kobe, Japan, pp. 787-790. |
Wang, Jing et al., “1.14-GHz Self-Aligned Vibrating Micromechanical Disk Resonator,” Technical Digest of the 2003 Radio Frequency Integrated Circuits Symposium, Jun. 8-10, 2003, pp. 335-338, Philadelphia, Pennsylvania. |
Wang, Jing et al., “1.156-GHz Self-Aligned Vibrating Micromechanical Disk Resonator,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 51, No. 12, Dec. 2004, pp. 1607-1628. |
Warner, A. W. et al., “Low Temperature Coefficient of Frequency in a Lithium Tantalate Resonator,” Proceedings of the IEEE, Mar. 1967, p. 450. |
Weisstein, Eric W., “Euler Angles,” MathWorld—A Wolfram Web Resource, Retrieved: Apr. 29, 2009, http://mathworld.wolfram.com/EulerAngles.html, 4 pages. |
Wong, Ark-Chew et al., “Micromechanical Mixer-Filters (‘Mixlers’),” Journal of Microelectromechanical Systems, vol. 13, No. 1, Feb. 2004, pp. 100-112. |
Yamada, M. et al., “First-Order Quasi-Phase Matched LiNbO3 Waveguide Periodically Poled by Applying an External Field for Efficient Blue Second-Harmonic Generation,” Applied Physics Letters, vol. 62, No. 5 Feb. 1, 1993, pp. 435-436. |
Zhu, Yong-Yuan et al., “Crossed Field Excitation of an Acoustic Superlattice,” Journal of Physics D: Applied Physics, vol. 29, 1996, pp. 185-187. |
Notice of Allowance for U.S. Appl. No. 12/134,483, dated Mar. 24, 2009, 6 pages. |
Notice of Allowance for U.S. Appl. No. 12/263,883, dated Oct. 28, 2010, 6 pages. |
Notice of Allowance for U.S. Appl. No. 13/037,584, dated Jun. 9, 2011, 7 pages. |
Notice of Allowance for U.S. Appl. No. 14/071,173, dated Apr. 21, 2015, 8 pages. |
Non-Final Office Action for U.S. Appl. No. 12/202,624, dated May 18, 2012, 8 pages. |
Final Office Action for U.S. Appl. No. 12/202,624, dated Jul. 27, 2012, 8 pages. |
Advisory Action for U.S. Appl. No. 12/202,624, dated Sep. 7, 2012, 3 pages. |
Non-Final Office Action for U.S. Appl. No. 12/202,624, dated Mar. 5, 2014, 8 pages. |
Non-Final Office Action for U.S. Appl. No. 12/202,624, dated Apr. 9, 2015, 7 pages. |
Non-Final Office Action for U.S. Appl. No. 14/703,060, dated Sep. 28, 2017, 8 pages. |
Number | Date | Country | |
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20150288345 A1 | Oct 2015 | US |
Number | Date | Country | |
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61975331 | Apr 2014 | US |