supported by the National Natural Science Foundation of China(12061131013,11972276,12172171 and 12102183);the State Key Laboratory of Mechanics and Control of Mechanical Structures at NUAA(No.MCMS-E-0520K02);the Fundamental Research Funds for the Central Universities(NE2020002 and NS2019007);National Natural Science Foundation of China for Creative Research Groups(No.51921003);the Start-up Fund supported by NUAA,National Natural Science Foundation of Jiangsu Province(BK20211176);Local Science and Technology Development Fund Projects Guided by the Central Government(2021Szvup061);Jiangsu High-Level Innovative and Entrepreneurial Talents Introduction Plan(Shuangchuang Doctor Program,JSSCBS20210166);a project funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions(PAPD).
Thin-film bulk acoustic resonators(FBARs)operating with essentially thickness-extensional mode have been widely used in communication fields.In this paper,we provide a convenient means for analyzing FBARs with sandwic...