The equations for performance evaluation of the laser time-of-flight velocimeter (LTV) for atmospheric wind-speed measurement with single-particle digital-correlation analysis have been derived theoretically. Using an inverse power law for aerosol-size distribution and a simple expression for backscatter-differential cross section, the minimum-detectable number of signal photon counts, the photon-count distribution of signal particles, and the scaling law for LTV measurement rate are expressed in terms of correlator settings and parameters of a Gaussian laser beam. It is shown, both theoretically and experimentally, that these equations can be used to evaluate the system performance and assess the potential usefulness of the single-particle LTV.
© 1982 Optical Society of America
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