8 September 1998 Experimental measurement of tilt correlation with higher-order modes in the time domain for turbulence-induced phase aberrations: implications to airborne laser beam steering
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Abstract
Theoretical analysis of the temporal cross-correlation properties of turbulence-induced phase aberrations predict that while tilt is uncorrelated with most higher-order modes at zero time delay, the magnitude of the cross-correlation increases through some maximum value before going to zero at long time delays. To test this theoretical prediction, we employ laboratory measurements of phase induced on a laser beam propagating through a channeled flow of turbulent gas. From these measurements, the temporal cross-correlation of various aberration modes was estimated. Theoretical expressions were derived for these cross-correlations, and the results of these calculations agree well with experimental measurements. Both the experimental and the theoretical results demonstrate that the magnitude of cross- correlation between tilt and higher-order modes is non-zero over a range of temporal delay. Thus, higher-order model measurements may be incorporated into an optimal estimator for tilt, enhancing estimator performance.
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Matthew R. Whiteley, Matthew R. Whiteley, Patrick J. Gardner, Patrick J. Gardner, } "Experimental measurement of tilt correlation with higher-order modes in the time domain for turbulence-induced phase aberrations: implications to airborne laser beam steering", Proc. SPIE 3381, Airborne Laser Advanced Technology, (8 September 1998); doi: 10.1117/12.323930; https://doi.org/10.1117/12.323930
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