| 研究生: |
林俊甫 Lin, Chun-Fu |
|---|---|
| 論文名稱: |
雙埠表面聲波濾波器的模擬與量測 Simulation and Measurement of Two-port Surface Acoustic Wave Filter |
| 指導教授: |
李永春
Lee, Yung-Chun |
| 學位類別: |
碩士 Master |
| 系所名稱: |
工學院 - 機械工程學系 Department of Mechanical Engineering |
| 論文出版年: | 2003 |
| 畢業學年度: | 91 |
| 語文別: | 中文 |
| 論文頁數: | 88 |
| 中文關鍵詞: | 交指叉電極 、表面聲波 、壓電材料 、表面聲波元件 、模態耦合理論 |
| 外文關鍵詞: | piezoelectric material, COM theory, surface acoustic wave, interdigital transducer, SAW devices |
| 相關次數: | 點閱:99 下載:6 |
| 分享至: |
| 查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報 |
本文研究的對象為交指叉電極週期24 μm ,金屬線寬6 μm且金屬比為0.5的交指叉電極與其構成的表面聲波元件,研究範圍包括理論模擬、製程實作、與實驗量測。
在理論方面採用B.P. Abbott所提出的模態耦合理論作為模擬分析表面聲波元件的依據,將表面聲波元件的結構以三埠矩陣形式表示,再透過矩陣串聯的方式求得完整表面聲波元件的頻率響應;並利用模擬分別探討各項設計參數對於表面聲波元件頻率響應的影響,求取最適合的設計參數。在實驗方面搭配微機電系統技術,以三種壓電材料基板(ST-cut Quartz, YZ-cut LiNbO3, 128。Y-cut LiNbO3)實地製作表面聲波元件,並以高頻探針與網路分析儀量取表面聲波元件的頻率響應。比較模擬與實驗的結果,可以發現模擬與實驗在ST-cut Quartz壓電基板上有相當程度的吻合,但是在高壓電性質的壓電基板上,如128。Y-cut LiNbO3誤差較大,在YZ-cut LiNbO3則無法淬取出實用的模擬參數。
本文藉由實驗量測與理論模擬的比較,可以說明模態耦合理論應用於表面聲波元件上的適用性,並且可以作為往後設計時的依據。
This thesis investigates several surface acoustic wave devices and their performance by means of theoretical simulation, fabrication, and experimental measurement. The devises all have interdigital transducer (IDT) with a period of 24 um and a metalization ratio of 0.5.
The simulation is based on coupling-of-modes theory presented by B.P. Abbott in 1989. In this theory, the uniform interdigital transducer is represented as a three-port matrix. The frequency response of SAW devices can be obtained by cascading these matrices. The design parameters of interdigital transducer which influence the frequency response can be analyzed. The SAW devices are fabricated on three kinds of piezoelectric material substrates by MEMS technology. Their frequency response is measured by microwave probe and network analyzer. Comparison between simulation and measurement indicates that both ST-cut quartz and 128˚Y-cut LiNbO3 are in good agreement. However, the simulation parameters of YZ-cut LiNbO3 cannot be accurately determined.
It is also demonstrated that the frequency response of non-uniform or apodized interdigital transducers can also be simulated by dividing them into several independent sections. Hence, the coupling-of-modes theory can be further applied to SAW devices such as two-port SAW filters in the future.
[1] L. Rayleigh, “On Waves Propagating along the Plane Surface of an Elastic Solid,” Pro. London Math. Soc., vol. 7, pp. 4-11, 1885.
[2] R.M. White and F.W. Voltmer, “Direct Piezoelectric Coupling to Surface Elastic Waves,” Appl. Phys. Lett., vol. 17, pp. 314-316, 1965.
[3] R.H. Tancrell and M.G. Holland, “Acoustic Surface Wave Filters,” Proc. IEEE, vol. 59, pp. 393-409, 1971.
[4] C.S. Hartmann, D.T. Bell, Jr. and R.C. Rosenfeld, “Impulse response model design of acoustic surface-wave filters,” IEEE Trans. on Microwave Theory and Techniques, vol. MTT-21, pp. 162-175, 1973.
[5] W.P. Mason, Electromechanical Transducers and Wave Filters, van Nostrand Company, 2nd Edition, 1948.
[6] W.P. Mason, Physical Acoustics, vol. 1A, Academic Press, 1964
[7] W.R. Smith, H.M. Gerard, J.H. Collins, T.M. Reeder and H.J. Show, “Analysis of Interdigital Surface Wave Transducers by Use of an Equivalent Circuit Model,” IEEE Trans. on Microwave Theory and Techniques, vol. MTT-17, pp. 856-864, 1969.
[8] W.R. Smith, “Experimental Distinction Between Crossed-Field and In-Line Three-Port Circuit Models for Interdigital Transducers,” IEEE Trans. on Microwave Theory and Techniques, pp.960-964, 1974.
[9] J.R. Pierce, “Coupling-of-modes of propagation,” J. Appl. Phys., vol. 25, pp. 179-183, 1954.
[10] P.S. Cross and R.V. Schmidt, “Coupled Surface-Acoustic-Wave Resonators,” Bell System Tech. Journal, vol. 56, pp. 1447-1482, 1977.
[11] H.A. Haus, “Modes in SAW grating resonators,” J. Appl. Phys., vol. 48, pp. 4955-4961, 1977.
[12] C.S. Hartmann, P.V. Wright, R.J. Kansy and E.M. Garber, “An analysis of SAW interdigital transducers with internal reflections and the application to the design of single-phase unidirectional transducers,” Proc. IEEE Ultrasonics Symp., pp. 29-34, 1982.
[13] D.P. Chen and H.A. Haus, “Analysis of Metal-Strip SAW Gratings and Transducers,” IEEE Trans. on Sonics and Ultrason., vol. SU-26, pp. 395-408, 1985.
[14] P.V. Wright, “A new generalized modeling of SAW transducers and gratings,” Pro. 43th Frequency Control Symp., pp.596-605, 1989.
[15] B.P. Abbott, C.S. Hartmann and D.C. Malocha, “A Coupling-of-Modes Analysis of Chirped Transducers Containing Reflective Electrode Geometries,” IEEE Ultrason. Symp., pp. 129-134, 1989.
[16] B.P. Abbott, A Coupling-of-Modes Model for SAW Transducers with Arbitrary Reflectivity Weighting, the Department of Electrical Engineering at the University of Central Florida Orlando, Florida, 1989.
[17] K.M. Lakin, “Electrode Resistance Effects in Interdigital Transducers,” IEEE Transactions on Microwave Theory and Techniques, vol. MTT-22, pp.418-424, 1974.
[18] IEEE Standard on Piezoelectricity (ANSI/IEEE Standard 176-1987), Standards Committee of the IEEE Ultrasonics, Ferroelectrics, and Frequency Control Society.
[19] D.P. Morgan, Surface-wave devices for signal processing, Elsevier, 1985.
[20] T. Thorvaldsson, “Analysis of The Natural Single Phase Unidirectional SAW Transducer,” IEEE Ultrason. Symp., pp. 91-96, 1989.
[21] T. Thorvaldsson and B.P. Abbott, “Low Loss SAW Filters Utilizing the Natural Single Phase Unidirectional Transducer (NSPUDT),” IEEE Ultrason. Symp., pp. 43-48, 1990.
[22] B.P. Abbott and D.C. Malocha, “Closed Form Solutions for Multistrip Coupler Operation Including the Effects of Electrode Resistivity,” IEEE Ultrason. Symp., pp. 25-30, 1990.
[23] B.P. Abbott, “A Derivation of The Coupling-of-Modes Parameters Based on The Scattering Analysis of SAW Transducers and Gratings,” IEEE Ultrason. Symp., pp. 5-10, 1991.
[24] B.P. Abbott, C.S. Hartmann and D.C. Malocha, “Transduction Magnitude and Phase for COM Modeling of SAW Devices,” IEEE Trans. Ultrason., Ferroelec., Freq. Contr., vol. 39, pp. 54-60, 1992.
[25] C.K. Campell, Surface Acoustic Wave Devices for Mobile and Wireless Communications, New York : Academic Press, 1998.
[26] 陳玉衡, 表面聲波元件之製成、量測與應用, 國立成功大學電機工程研究所碩士論文, 民國90年。
[27] J.A. Nelder and R.Mead, “A simplex method for function minimization,” The Comp. Jnl 7, pp. 308-313, 1965.
[28] J.C. Lagarias, J.A. Reeds, M.H. Wright, and P.E. Wright, "Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions," SIAM Journal of Optimization, vol. 9, No. 1, pp. 112-147, 1998.
[29] W.H. Press, B.P. Flannery, S.A. Teukolsky; and W.T. Vetterling, "Downhill Simplex Method in Multidimensions" and "Linear Programming and the Simplex Method." §10.4 and 10.8 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 402-406 and 423-436, 1992.
[30] 王聖銘, 中頻表面聲波濾波器之設計與量測, 國立台灣大學應用力學研究所碩士論文, 民國91年。
[31] Ken-ya Hashimoto, Surface Acoustic Wave Devices in Telecommunications: modeling and simulation, Springer, 2000.
[32] R.E. Collins, Foundations for Microwave Engineering, McGraw-Hill, 1992.
[33] M.P. David, Microwave Engineering, John Wiley & Sons, 1998.