Aero-optical jitter estimation using higher-order wavefronts

Matthew R. Whiteley; David J. Goorskey; Richard Drye

doi:10.1117/1.OE.52.7.071411

25 February 2013 Aero-optical jitter estimation using higher-order wavefronts

Matthew R. Whiteley, David J. Goorskey, Richard Drye

Author Affiliations +

Optical Engineering, Vol. 52, Issue 7, 071411 (February 2013). https://doi.org/10.1117/1.OE.52.7.071411

Abstract

Wavefront measurements from wind tunnel or flight testing of an optical system are affected by jitter sources due to the measurement platform, system vibrations, or aero-mechanical buffeting. Depending on the nature of the testing, the wavefront jitter will be a composite of several effects, one of which is the aero-optical jitter; i.e., the wavefront tilt due to random air density fluctuations. To isolate the aero-optical jitter component from recent testing, we have developed an estimation technique that uses only higher-order wavefront measurements to determine the jitter. By analogy with work done previously with free-stream turbulence, we have developed a minimum mean-square error estimator using higher-order wavefront modes to compute the current-frame tilt components through a linear operation. The estimator is determined from computational fluid dynamics evaluation of aero-optical disturbances, but does not depend on the strength of such disturbances. Applying this technique to turret flight test data, we found aero-optical jitter to be 7.7±0.8 μrad and to scale with (ρ/ρ _SL )M² (∼1 μrad in the actual test cases examined). The half-power point of the aero-optical jitter variance was found to be ∼2u _∞ /D_t and to roll off in temporal frequency with a power law between f ^−11/3 and f ^−10/3 .

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Matthew R. Whiteley, David J. Goorskey, and Richard Drye "Aero-optical jitter estimation using higher-order wavefronts," Optical Engineering 52(7), 071411 (25 February 2013). https://doi.org/10.1117/1.OE.52.7.071411

Published: 25 February 2013

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