Abstract
The propagation of a monochromatic wave in a medium containing random inhomogeneities is generally described in terms of amplitude and phase fluctuations. Is is shown in this paper that the method can be extended to broadband waves by considering the correlation of the fluctuations between elementary frequency bands. The relation between the correlation function of the fluctuations in the frequency domain and the waveform distortion of a broad-band signal is established. The method is applied to a medium where the fluctuations in refractive index are small and have a Gaussian correlation function in space. Waveform distortion of short pulses propagating in such a medium is studied.
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