CORRELATION FUNCTION AND THE POWER SPECTRUM OF THE DOPPLER ULTRASOUND RESPONSE SIGNAL OF UNIFORMLY ACCELERATED SCATTERERS IN FLUID FLOW
AbstractWithin the continuum model of the ultrasound wave scattering from inhomogeneties in fluid flow, the analytical expression for the correlation function of mass density and compressibility fluctuations has been obtained in the present work.Using the Gaussian window function, the practically important approximated closed-form expression has been derived for the Fourier transform of the correlation function. The analysis of the latter allowed to come to some conclusions about the frequency response characteristics of Doppler response power spectra. It is shown that the spectrum width, unlike its mean frequency, depends on the duration of the data sample. The relationship has been found between the optimal duration of the measurement, the acceleration of scatterers in a flow and the wave vector of the probing ultrasound field.
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