On the relationship between velocity distribution and power spectrum of scattered radiation in Doppler ultrasound measurements on moving suspensions.

Under the assumptions of far-field detection of Doppler-shifted ultrasound, of random positions of the scattering particles and of the non-occurrence of multiple scattering, this theoretical study establishes the proportionality between the power spectrum of the ultrasound scattered by the particles in the moving fluid and the velocity distribution of the fluid. Possible applications to blood flow are considered and the limitations of the model are commented on.