本論文研究液體負載下的平板波特性(亦稱洩漏板波)，包含理論分析與實驗量測。在理論方面，利用『Partial Wave Theory』(疊波理論)，重新分析洩漏板波問題，並配合二維平面搜尋的數值方法，編寫一套能同時計算洩漏板波波速以及振幅的衰減的電腦程式。利用此電腦程式，本論文分析了一些常見的洩漏板波實例，包括壓電平板受到介電及導電液體負載時，洩漏板波的特性變化。以及液體的黏滯度對洩漏板波在等向性平板上的波傳影響。接著，並利用鋰酸鈮晶片以及鈉玻璃片作為試件，分別計算出這些試件受到不同濃度的鹽水溶液以及甘油溶液負載時的洩漏板波特性，其中，波速變化和震幅衰減係數被詳細且定量的計算出來。
實驗方面，本論文開發一套新的量測系統。有別於其他的量測系統，此系統是利用差動量測的原理，專門量測平板在無負載以及受到液體負載下時，板波波傳的差異。藉由這種嶄新的量測概念，可以排除許多實驗上的誤差以及干擾，使得這套新開發的量測系統，能夠達到十分精確的量測精度。利用此量測系統，我們測量出洩漏板波在鋰酸鈮晶片受到不同濃度的鹽水溶液負載時的波速變化和振幅衰減量。此外，鈉玻璃片受到不同濃度的甘油溶液負載時，洩漏板波的變化情形也被成功的量測出來。藉由比對這些實驗與理論分析的結果，我們發現洩漏板波的實際變化趨勢，與理論的預測結果大致吻合。因此，可以證明『Partial Wave Theory』(疊波理論) 對於平板波於液體覆載下的波傳特性，有不錯的預測結果。這些結論，相信對於未來的板波研究以及微感測器開發，有相當的幫助。

This dissertation investigates the characteristics of the leaky Lamb wave propagation in a plate subjected to fluid loadings. Both the theoretical analysis and experimental results are presented. In theoretical investigates, the partial wave theory is applied to analyze the corresponding velocity shifting and attenuation of leaky Lamb waves induced by fluid loadings. With no incident wave involved in the theoretical model, both velocity change and wave attenuation are simultaneously derived. A computer program with the 2D plane search method is implemented for numerically solving the problem. Several cases of leaky Lamb waves are examined including both dielectric and conductive fluid loads on piezoelectric plates and viscous fluid loadings on isotropic plates. In these cases, both the wave velocity and attenuation of leaky Lamb waves are quantitatively determined and influences of each loading parameter are characterized systematically.
Experimentally, a novel experiment system is designed and developed for measuring small variations in wave velocity and attenuation of leaky Lamb waves. It is a differential type measuring system focusing on the difference between Lamb waves with and without fluid loadings. Therefore, the leaky Lamb wave velocity shifting and the wave attenuation can be experimentally determined with high sensitivity and accuracy. The uniqueness and strength of this differential measurement system for leaky Lamb waves have been successfully tested and verified through a series of experiments.
Finally, an XZ-LiNbO3 wafer and a soda lime glass plate are chosen as the sample plates for both theoretical and experimental investigations on fluid’s loading effects on leaky Lamb waves. The former is for electrical loading effects, which include both dielectric and conductive loadings, and the latter for mechanical loadings including mass and viscous loadings. Numerical calculations base on the partial wave theory and experimental measurements using the differential measurement system are carried out for a number of different fluids loaded on the sample plates. Experimentally measured results in general agree well with those predicted by theoretical analysis, which implies the validity of partial wave theory in dealing with leaky Lamb wave problems. These results are important in designing new type of acoustic wave sensors working in liquid phase.

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