本研究為了於斜坡上能夠直接應用Goda兩點法，所以於斷面水槽中鋪設斜坡底床且架設一系列波高計，使用Goda兩點法在時序列上分離出入射波與反射波。
先由斜坡上兩支相距很近且水深差距不超過1cm之波高計使用兩點法求得入反射波高，可以得到與均勻水深段所拆解出之入反射波高相差無幾。在考慮淺化效應的同時，將兩點法應用在斜坡上其餘水深差距較大的任兩支波高計，可得一系列隨水深差距加大而計算出之反射率，也進而探討隨著兩支波高計相距水深加大而在反射率計算上開始出現的誤差，並且與前人在斜坡上以數值模型所計算出之反射率做比較。本試驗研究在半波長的位置所得到結果亦與Goda (1976)得到良好驗證。
同時，也在斜坡上探討頻率兩倍之二階諧和波，從實驗結果顯示二倍頻反射波振幅於空間上有重現現象，表示用兩點法可以求得因非線性效應所產生的高階諧和波。

In order to apply two-point method (Goda, 1976) on slope, the study in this thesis sets up 14 wave gages on sloping bathymetry in a wave flume, and further uses two-point method (Goda, 1976) to separate incident and reflected waves on time domain traveling on sloping bed.
First of all, the experiment applies two neighbor wave gages with depth difference less than 1 cm to separate the incident and reflected waves by the two-point method (Goda, 1976) to get the incident and reflected waves. The result is almost as the same as reflected wave of horizontal bottom. Furthermore, considering the linear wave shoaling theory, this research applies the method on other wave gages with larger depth difference to get series reflection coefficients. The experimental study on the spatial L/2 divergent position also gets a good verification. This experimental investigation not only can obtains the reflection coefficient on slope but also can discuss the error of reflectance calculation following with widening variance of depth between two wave gages, and moreover to compare with former reflection coefficient calculated by numerical model.
Besides, the study from discussing second harmonic waves on slope indicates that twice frequency of reflection has the phenomenon of recursion length in spatial; it shows that two-point method could account for high harmonic wave generated from non-linear phenomena.

論文審定書+i
謝誌+ii
摘要+iii
Abstract+iv
第一章 緒論+1
1-1前言+1
1-2文獻回顧+1
1-3研究目的與方法+2
1-4論文架構+3
第二章 實驗步驟及研究方法+4
2-1實驗設備+4
2-2試驗斜坡設計+5
2-3垂直擋板設計+6
2-4設計波浪條件+9
2-5實驗量測方法+10
2-6分析方法+11
2-7重複性實驗結果比較+15
第三章實驗結果與討論+17
3-1 Goda兩點法使用驗證+18
3-2水深變化對使用Goda兩點法之影響+25
3-3二倍頻討論+35
3-4與前人研究比較與討論+39
第四章結論與建議+41
4-1結論+41
4-2建議+42
參考文獻+43
附錄+44
附錄A：2-6-1 資料擷取+44
附錄B：2-7重複性實驗結果比較+48
附錄C：3-1-1 均勻水深段波高與斜坡段波高比較+51
附錄D：3-1-2波高計擺設間距驗證+54
附錄E：3-1-3坡度1/60斜坡架設直立壁之情況+59
附錄F：3-2水深變化對使用Goda兩點法之影響+62
附錄G：3-3二倍頻討論+72

1. Baldock, T.E. and Simminds, J.M. (1999). Separation of incident and reflected waves over sloping bathymetry. Coastal Engineering, Vol. 38, 167-176.
2. Edward B. Thornton, Ronald J. Calhoun. (1972). Spectral Resolution of Breakwater Reflected Waves. Journal of the Waterways, Harbors and Coastal Engineering Division, Vol. 98, No. 4, November 1972, pp. 443-460.
3. Frigaard, P., & Brorsen, M. (1995). A time-domain method for separating incident and reflected irregular waves. Coastal Engineering, 24, 205-215.
4. Goda, Y., Suzuki, Y. (1976). Estimation of incident and reflected waves in random waves. Proceedings of the fifteenth Conference on Coastal Engineering,ASCE, New York,828-865.
5. H.-K. Chang, T.-W. Hsu. (2003). A two-point method for estimating wave reflection over a sloping beach. Ocean Engineering, 30, 1833-1847.
6. Marden, D.B. (1976). Decomposition of Coexisting Random Wave Energy. Proceedings of the fifteenth Conference on Coastal Engineering, ASCE, New York.
7. Masard, E.P.D., Funke, E.R. (1980). The measurement of incident and reflected spectra using a least squares method. Proceedings of the seventeenth Conference on Coastal Engineering, ASCE, 154-172.
8. Massel, S.R. (1983). Harmonic generation by waves propagating over a submerged step. Coastal Engineering 7, 357-380.
9. Ma, Y.X., Dong, G.H., Ma, X.Z., Wang, G.(2010). A new method for separation of 2D incident and reflected waves by the Morlet wavelet transform. Coastal Engineering 57 (6), 597-603.
10. Wang, S.K., Hsu, T.W., Weng, W.K., Ou, S.H. ( 2008). A three-point method for estimating wave reflection of obliquely incident waves over a sloping bottom. Coastal Engineering 55 (2), 125-138.