A spatial correlation model for broadband surface noise

The spatial correlation function for broadband ocean surface noise is considered in horizontally stratified media. It is expressed as an integral over the correlation function of the sound field radiated by a single noise source in the waveguide, assuming spatially uncorrelated noise sources with the same intensity that are distributed on the sea surface uniformly. An equation for the spatial-temporal correlation coefficient of the surface noise in a certain frequency band can then be derived. Numerical simulations are carried out for band limited white noise and wind noise, which show that the fluctuation of the correlation coefficient decreases with increasing bandwidth.