Separation of obliquely incident and reflected irregular waves by the Morlet wavelet transform |
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| Authors: | Yuxiang Ma Guohai Dong Xiaozhou Ma |
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| Institution: | State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, 116023, PR China |
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| Abstract: | An existing 2D time-domain method for separating irregular incident and reflected waves by wavelet transform Ma et al., 2010. A new method for separation of 2D incident and reflected waves by the Morlet wavelet transform. Coastal Eng., 57(6):597–603] is extended to account for obliquely incident irregular waves propagating over sloping bottoms. The linear shoaling and refraction coefficients are adopted to determine the amplitude and phase changes of waves. The optimal central frequency of the Morlet wavelet is determined by the minimum Shannon wavelet entropy. Numerical tests show that the present method can accurately separate waves over horizontal depths. For waves at sloping bottoms, however, the separation errors increase as bottom slope increases and are significant for waves with incident angle larger than π/3. |
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| Keywords: | Irregular waves Obliquely incident Reflection Morlet wavelet transform |
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