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Laser-time-of-flight velocimetry: analytical solution to the optical system based on ABCD matrices

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Abstract

Within the framework of complex ABCD matrix theory, an analytical expression for the time-lagged covariance of a classical time-of-flight laser velocimetry system is obtained as a function of the laser spot size, the limiting aperture, and the measurement-aperture radii. The decorrelation effects of wave-front tilt and velocity misalignment are derived and discussed. In addition, error estimates are presented that indicate how well one can determine the precise location of the peak of the cross-covariance function.

© 1993 Optical Society of America

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