Journal
IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL
Volume 63, Issue 5, Pages 757-763Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TUFFC.2016.2531079
Keywords
Piezoelectric phononic crystals (PnCs); P-matrix; surface acoustic wave (SAW); three-dimensional (3-D) finite-element method (FEM)
Categories
Funding
- National Natural Science Foundation of China [11174318, 11304346]
- National High Technology Research and Development Program (863 Program) [SS2013AA041103]
- Beijing Municipal Science and Technology Commission [Z141100003814016]
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Large time/memory costs have constituted a significant obstacle for accurately analyzing surface acoustic waves (SAWs) in large-sized two-dimensional (2-D) piezoelectric phononic crystals (PnCs). To overcome this obstacle, this study introduces the unit P-matrix and its associated cascading. To obtain an accurate unit P-matrix, the Y parameters of the SAW delay lines were derived using a three-dimensional (3-D) finite-element model (FEM) with and without 2-D piezoelectric PnCs, respectively, on the transmitting path. A time window function was adopted to extract the desired signals from the P-matrix analysis. Then, unit P-matrix cascading was used to obtain SAW propagation parameters for the large-sized piezoelectric PnCs. Using this method, the SAWin aluminum (Al) / 128 degrees -YXLiNbO3 PnCs was analyzed over 150 periods. Experiments were also conducted. To choose the appropriate size of the unit P-matrix, the variance between experimental results and theoretical results, and time/memory cost were compared for different periods. The results indicate that cascading by unit P-matrix of 25 PnCs periods can be appropriately adopted to accurately derive the SAW propagation parameters over 150 periods. This indicates the accuracy of the unit P-matrix derived by 3-D FEM and the effectiveness of P-matrix analysis.
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