Abstract

A complex function F( t) containing the water surface levels in a fixed point in the real part and a function obtained from the slope of this surface in the imaginary part, is used to study the reflection wave in a flume. This complex function analysis by the discrete Fourier transform allows to separate the incident and the reflected wave amplitudes, which are respectively given by the amplitudes of the Fourier-series coefficients of positive and negative frequencies. Errors linked to the evaluation of the reflection coefficient by the measurement of the water surface level in three nearby points are numerically studied.

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