Finite-element Modeling of SAW-filters Based on Thin Films of Barium Strontium Titanate
UDC
538.9, 534.16EDN
GJWERWDOI:
10.31429/vestnik-17-4-48-56Abstract
Finite element modeling in COMSOL Multiphysics™ is carried out and the properties of surface acoustic waves frequency filters based on thin films are studied. The substrate is magnesium oxide MgO. A thin film of barium strontium titanate BaxTi1-xO3 (BST) is applied to the substrate. Two aluminum interdigital transducers are placed on the film. The nonlinear properties of the film lead to a change in the material constants of the linear equations of the piezoelectric effect. Therefore, the behavior of the material constants of BST single crystal thin films, depending on the magnitude of the forced deformation, is described on the basis of the Landau potential of the phenomenological theory. In this manuscript, the numerical results in the room temperature for barium titanate films in $c$-, $r$-, and $aa$-phases and BST80 in $c$-, and $aa$-phases are presented. Dependence of the reflection and transmission coefficients of the scattering matrix on the misfit strain of the film are determined. The material constants of the film under the misfit strain have extreme values at the phase boundaries and within the $r$-phase some elastic and electroelastic constants reach a maximum. The abnormal effect of the film on the characteristics of SAW-filters is obtained in these regions.
Keywords:
sourface acoustic waves, filters, ferroelectrics, material constants, finite-element modelingFunding information
Работа выполнена при поддержке Российского фонда фундаментальных исследований (19-08-01051, 19-01-00719).
References
- Мухортов В.М., Юзюк Ю.И. Гетероструктуры на основе наноразмерных сегнетоэлектрических пленок. Ростов-на-Дону. Изд-во ЮНЦ РАН, 2008. 224 с. [Mukhortov V.M., Yuzyuk Yu.I. Geterostruktury na osnove nanorazmernyh segnetoelektricheskih plenok [Heterostructures based on nanoscale ferroelectric films]. Southern Scientific Centre of RAS, Rostov-on-Don, 2008. (In Russian)]
- Бирюков С.В., Мухортов В.М., Мухортов В.М. Новый датчик динамической деформации на основе тонких пьезоэлектрических пленок, полученных ионно-плазменным напылением // Мир измерений. 2007. № 7. С. 45–52. [Mukhortov Vl.M., Mukhortov Vas.M., Biryukov S.V. Novyj datchik dinamicheskoj deformacii na osnove tonkih p'ezoelektricheskih plenok, poluchennyh ionno-plazmennym napyleniem [New dynamic deformation sensor based on thin piezoelectric films obtained by ion-plasma sputtering]. Mir izmerenij [The world of measurements], 2007, no. 7, pp. 45–52. (In Russian)]
- Есипов Ю.В., Мухортов В.М., Калинчук В.В. Испытательная установка для анализа деформации моделей трехмерных конструкций // Измерительная техника. 2008. № 10. С. 39–42. 2008. № 10. С. 39–42. [Esipov Yu.V., Mukhortov V.M., Kalinchuk V.V., Andzhikovich I.E. O vozmozhnosti rannego diagnoza sostoyaniya sterzhnevyh konstrukcij s primeneniem segnetoelektricheskih datchikov dinamicheskoj deformacii [The possibility of early diagnosis of the state of rod structures by ferroelectric dynamic deformation sensors]. Ekologicheskij vestnik nauchnyh centrov Chernomorskogo ekonomicheskogo sotrudnichestva [Ecological Bulletin of Scientific Centers of the Black Sea Economic Cooperation], 2010, vol. 7, no. 4, pp. 29–35. (In Russian)]
- Метьюз Г. Фильтры на поверхностных акустических волнах. Расчет, технология, применение. М.: Радио и связь, 1981. 521 c. [Matthews H. Surface wave filters: design, construction, and use. John Wiley & Sons, New York, 1977. DOI: 10.1016/B978-0-12-372537-0.X5000-6]
- Khassaf H., Khakpash N., Sun F., Sbrockey N.M., Tompa G.S., Kalkur T.S., Alpay S.P. Strain engineered barium strontium titanate for tunable thin film resonators // Applied Physics Letters. 2014. Vol. 104. No. 20. P. 202902(5). DOI: 10.1063/1.4879281
- Мухортов Вл.М., Бирюков С.В., Головко Ю.И., Карапетьян Г.Я., Масычев С.И., Мухортов В.М. Поверхностные акустические волны в тонких пленках титаната бария-стронция на подложках из оксида магния // Письма в Журнал технической физики. 2011. Т. 37. № 5. С. 31–37. [Mukhortov V.M., Biryukov S.V., Golovko Yu.I., Karapetyan G.Y., Masychev S.I., Mukhortov Vas.M. Poverhnostnye akusticheskie volny v tonkih plenkah titanata bariya-stronciya na podlozhkah iz oksida magniya [Surface acoustic waves in thin films of barium-strontium titanate on magnesium oxide substrates]. Pis'ma v Zhurnal tekhnicheskoj fiziki [Letters to the journal of technical physics], 2011, vol. 37, no. 5, pp. 31–37. (In Russian)]
- Най Дж. Физические свойства кристаллов и их описание при помощи тензоров и матриц. М.: Мир, 1967. 386 с. [Nye J.F. Physical properties of crystals. Oxford: Clarendon Press, 1957.]
- Широков В.Б., Калинчук В.В., Шаховой Р.А., Юзюк Ю.И. К проблеме определения упругих констант // ДАН. 2015. Т. 463. № 6. С. 655–660. [Shirokov V.B., Kalinchuk V.V., Shakhovoy R.A., Yuzyuk Yu.I. The problem of determining elastic constants of thin ferroelectric films. Doklady Physics, 2015, vol. 60, no. 8, pp. 349–354. DOI: 10.1134/S1028335815080108]
- Shirokov V.B., Kalinchuk V.V., Shakhovoy R.A., Yuzyuk Yu.I. Anomalies of piezoelectric coefficients in barium titanate thin films // EPL (Europhysics Letters). 2014. Vol. 108. No. 4. P. 47008(4). DOI: 10.1209/0295-5075/108/47008
- Shirokov V.B., Kalinchuk V.V., Shakhovoy R.A., Yuzyuk Yu.I. Control of acoustic properties of a BaTiO3 thin film by a planar electric field // EPL (Europhysics Letters). 2015. Vol. 111. No. 1. P. 16002(4). DOI: 10.1209/0295-5075/111/16002
- Timoshenko P.E., Kalinchuk V.V., Shirokov V.B. Finite-element analysis of scattering parameters of surface acoustic wave bandpass filter formed on barium titanate thin film // International Journal of Smart and Nano Materials. 2018. Vol. 9. No. 2. P. 88–98. DOI: 10.1080/19475411.2018.1447045
- Широков В.Б., Калинчук В.В., Тимошенко П.Е. Свойства тонких пленок твердых растворов титаната бария стронция при вынужденном пьезоэффекте // ДАН. 2018. Т. 479. № 6. С. 620–625. [Shirokov V.B., Kalinchuk V.V., Timoshenko P.E. Properties of thin films of barium–strontium titanate solid solutions under a stimulated piezoelectric effect. Doklady Physics, 2018, vol. 63, no. 4, pp. 142–147. DOI: 10.1134/S1028335818040092]
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