Speckle velocimetry of diffuse objects under illumination of a TEM10 laser beam

Marek Kowalczyk

doi:10.1117/12.233001

13 February 1996 Speckle velocimetry of diffuse objects under illumination of a TEM₁₀ laser beam

Marek Kowalczyk

Proceedings Volume 2729, Optical Velocimetry; (1996) https://doi.org/10.1117/12.233001
Event: Optical Velocimetry, 1995, Warsaw, Poland

Abstract

The space-time correlation functions of amplitude and intensity fluctuations are derived for a dynamic speckle generated by a flat diffuse object illuminated with a TEM₁₀ Hermite- Gaussian laser mode. The object is assumed to move in a plane with a constant velocity. The considerations are limited to the free propagation geometry. The speckle complex amplitude is assumed to obey circular Gaussian statistics. It is shown that intensity fluctuation is a space- time stationary process and its correlation function derived for both near and far diffraction fields depends on the angle which forms the vector of velocity and one of the axes of symmetry of the TEM₁₀ laser mode. This enables the simultaneous measurement of the direction and the magnitude of the object velocity. The velocimetry formulae are derived for a boiling far field speckle detected with a single point detector or with a circularly symmetric soft Gaussian aperture.

Citation Download Citation

Marek Kowalczyk "Speckle velocimetry of diffuse objects under illumination of a TEM₁₀ laser beam", Proc. SPIE 2729, Optical Velocimetry, (13 February 1996); https://doi.org/10.1117/12.233001

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