We consider the problem of localizing one or more sources in a two-dimensional waveguide with horizontal flat boundaries and random sound speed fluctuations. Our data are the acoustic pressure field, measured on a vertical array of hydrophones that may span the entire depth of the waveguide or a part of it. We use randomness to model the effect of internal waves on the sound channel. Although the strength of the fluctuations is small, the transmitted signal is significantly affected from the multiple scattering of the waves with the random inhomogeneities, especially since we consider large propagation distances between the sources and the receiver array. Source localization is performed following an incoherent approach relying on a transport system of equations that describes wave propagation in random waveguides and that takes into account modal dispersion and energy transfer between modes.

我们考虑在具有水平平坦边界和随机声速波动的二维波导中定位一个或多个源的问题。我们的数据是声压场，是在水听器的垂直阵列上测得的，该声压场可能跨越波导的整个深度或一部分深度。我们使用随机性来建模内部波对声通道的影响。尽管波动的强度很小，但是由于随机不均匀性引起的波的多次散射，发射信号受到显着影响，特别是因为我们考虑了源与接收器阵列之间的较大传播距离。