Abstract

We have developed new a technique for measuring aero-optical aberrations in flowing turbulent fluids. The rms optical path difference power spectral density is obtained from angular beam-jitter measurements. We tested the technique in an airflow in which there was a temperature discontinuity at a turbulent interface. It was validated by comparison with the data from a pulsed interferometer.

© 1992 Optical Society of America

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References

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  1. A. Consortini, K. A. O’Donnell, “Determination of the inner scale of atmospheric turbulence through laser beam wandering,” in Optics and the Information Age (14th Congress of the International Commission for Optics), H. H. Arsenault, ed., Proc. Soc. Photo-Opt. Instrum. Eng.813, 117–120 (1987).
  2. D. C. Johnson, “Dual air curtain windows,” in Propagation of High Energy Laser Energy Laser Beams through the Earth’s Atmosphere, AIAA paper 91-0389 American Institute of Aeronautics and Astronautics, New York, 1991).
  3. L. Mertz, “Real time fringe pattern analysis,” Appl. Opt. 22, 1535–1539 (1983).
    [Crossref] [PubMed]

1983 (1)

Consortini, A.

A. Consortini, K. A. O’Donnell, “Determination of the inner scale of atmospheric turbulence through laser beam wandering,” in Optics and the Information Age (14th Congress of the International Commission for Optics), H. H. Arsenault, ed., Proc. Soc. Photo-Opt. Instrum. Eng.813, 117–120 (1987).

Johnson, D. C.

D. C. Johnson, “Dual air curtain windows,” in Propagation of High Energy Laser Energy Laser Beams through the Earth’s Atmosphere, AIAA paper 91-0389 American Institute of Aeronautics and Astronautics, New York, 1991).

Mertz, L.

O’Donnell, K. A.

A. Consortini, K. A. O’Donnell, “Determination of the inner scale of atmospheric turbulence through laser beam wandering,” in Optics and the Information Age (14th Congress of the International Commission for Optics), H. H. Arsenault, ed., Proc. Soc. Photo-Opt. Instrum. Eng.813, 117–120 (1987).

Appl. Opt. (1)

Other (2)

A. Consortini, K. A. O’Donnell, “Determination of the inner scale of atmospheric turbulence through laser beam wandering,” in Optics and the Information Age (14th Congress of the International Commission for Optics), H. H. Arsenault, ed., Proc. Soc. Photo-Opt. Instrum. Eng.813, 117–120 (1987).

D. C. Johnson, “Dual air curtain windows,” in Propagation of High Energy Laser Energy Laser Beams through the Earth’s Atmosphere, AIAA paper 91-0389 American Institute of Aeronautics and Astronautics, New York, 1991).

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Figures (5)

Fig. 1
Fig. 1

Schematic of the experiment. The flow speed of region 1 is 13.4 m/s out of the paper at room temperature. The flow speed in region 3 is 13.4 m/s out of the paper at room temperature plus 18°C. Turbulent fluctuations of the index of refraction caused by turbulent mixing of the two streams with two different temperatures are shown in region 2. E. C. is the electronic autocollimator.

Fig. 2
Fig. 2

Raw beam-jitter PSD.

Fig. 3
Fig. 3

Beam-jitter PSD caused by turbulent mixing at the hot–cold interface and the OPD PSD.

Fig. 4
Fig. 4

Rms OPD from the beam-jitter method compared with interferometer data.

Fig. 5
Fig. 5

Response of the quad cell to beam deflection.

Equations (12)

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OPD ( x , y , t ) = 0 L Δ n ( x , y , z , t ) d z ,
x = x OPD ( x , y , t ) = x 0 L Δ n ( x , y , z , t ) d z .
OPD ( x , y , t ) = - A ( k , x , y , t ) exp ( i k x ) d k ,
x OPD ( x , y , t ) = i - k A ( k , x , y ) exp ( i k x ) d k .
k 2 Φ OPD ( k , x , y ) = Φ x ( k , x , y ) ,
R ( ξ ) = 0 Φ OPD ( k ) cos ( k ξ ) d k .
R ( η ) = 1 T 0 T y ( 0 , t ) y ( η , t ) d t ,
Δ Y = ( I + II - III - IV ) / ( I + II + III + IV ) , Δ X = ( I + IV - I - III ) / ( I + II + III + IV ) ,
I = I 0 exp { [ ( x + Δ X ) 2 + ( y + Δ Y ) 2 ] / 2 σ 2 } ,
I = C - a 0 - a 0 I ( x , y ) d x ,
S x = erfc ( Δ ξ ) - erfc ( A + Δ ξ ) - erfc ( - Δ ξ ) + erfc ( A - Δ ξ ) erfc ( Δ ξ ) - erfc ( A + Δ ξ ) + erfc ( - Δ ξ ) - erfc ( A - Δ ξ ) ,
S x = A Δ ξ a Δ X 2 σ 2 .

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