Pj. Gardner et al., COMPARISON OF MEASURED AND COMPUTED STREHL RATIOS FOR LIGHT PROPAGATED THROUGH A CHANNEL FLOW OF A HE-N-2 MIXING LAYER AT HIGH REYNOLDS-NUMBERS, Applied optics, 36(12), 1997, pp. 2559-2567
A lateral shearing interferometer was used to measure the slope of per
turbed wave fronts after they propagated through a He-N-2 mixing layer
in a rectangular channel. Slope measurements were used to reconstruct
the phase of the turbulence-corrupted wave front. The random phase fl
uctuations induced by the mixing layer were captured in a large ensemb
le of wave-front measurements. Phase structure functions, computed fro
m the reconstructed phase surfaces, were stationary in first increment
s. A five-thirds power law is shown to fit streamwise and cross-stream
slices of the structure function, analogous to the Kolmogorov model f
or isotropic turbulence, which describes the structure function with a
single parameter. Strehl ratios were computed from the phase structur
e functions and compared with a measured experiment obtained from simu
ltaneous point-spread function measurements. Two additional Strehl rat
ios were calculated by using classical estimates that assume statistic
al isotropy throughout the flow. The isotropic models are a reasonable
estimate of the optical degradation only within a few centimeters of
the initial mixing, where the Reynolds number is low. At higher Reynol
ds numbers, Strehl ratios calculated from the structure functions matc
h the experiment much better than Strehl ratio calculations that assum
e isotropic flow.