In shallow waters, the fluctuations of the water surface greatly affects the performances of underwater acoustic arrays. The goal of this thesis is to use tomography to detect, localise and estimate a travelling surface wave on the surface of an ultrasonic waveguide.The frame of this work is a small scale experiment. Two emitting and receiving arrays facing each other at each end of the waveguide create a acoustic pressure field of central frequency f=1 MHz which is projected on the basis of the eigenbeams using double beamforming performed simultaneously on the emission and on the reception. Each one of these eigenbeams is defined by four observables : the acoustic travel-time, the amplitude of the signal and the emitting and receiving ang...