The equations for performance evaluation of the laser time-of-flight velocimeter (LTV) for atmospheric windspeed 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
C. Y. She and R. F. Kelley, "Scaling law and photon-count distribution of a laser time-of-flight velocimeter," J. Opt. Soc. Am. 72, 365-371 (1982)