Abstract

It is shown that the phase fluctuations introduced into a light wave which has propagated through a slab of atmosphere may be determined by measuring the fluctuations in resistance of a wire stretched approximately along the optical path. This technique is applied to measure structure functions of the phase fluctuations across a wavefront by recording fluctuations in the difference between the resistances of two parallel wires.

© 1967 Optical Society of America

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References

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  1. V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill Book Co., Inc., New York, 1961).
  2. J. L. Lumley, H. A. Panofsky, The Structure of Atmospheric Turbulence (Wiley/Interscience, New York, 1964).
  3. C. E. Coulman, J. Opt. Soc. Am. 56, 1232 f (1966).
    [CrossRef]

1966 (1)

Coulman, C. E.

Lumley, J. L.

J. L. Lumley, H. A. Panofsky, The Structure of Atmospheric Turbulence (Wiley/Interscience, New York, 1964).

Panofsky, H. A.

J. L. Lumley, H. A. Panofsky, The Structure of Atmospheric Turbulence (Wiley/Interscience, New York, 1964).

Tatarski, V. I.

V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill Book Co., Inc., New York, 1961).

J. Opt. Soc. Am. (1)

Other (2)

V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill Book Co., Inc., New York, 1961).

J. L. Lumley, H. A. Panofsky, The Structure of Atmospheric Turbulence (Wiley/Interscience, New York, 1964).

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Figures (2)

Fig. 1
Fig. 1

Typical example of the fluctuations in the difference between resistances of parallel wires, 1 m in length, of various separations. The recording rate (horizontal axis) was 10 cm/sec, the wires being horizontal, across wind, and 4 m above the ground (open grassland). The vertical displacement is proportional to the fractional change in optical path length, ΔF/F. The change shown, ΔF = 5000 Å, corresponds to an image displacement of 1 see of arc for the pair of 10-cm separation.

Fig. 2
Fig. 2

Variation of the phase structure function DF(r) with wire separation r for sets of observations at heights of 2 m, 4 m, 8 m, and 14 m above open grassland (relative positions of the lines are of no significance because of differences in micrometeorological conditions on the different occasions). The wires, of 1-m length, have been oriented parallel to the ground and across wind. For each set of observations at a particular height there is drawn the best-fit line of theoretically predicted gradient 5/3.

Equations (3)

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Δ F / F = ( α / β ) ( Δ R / R ) ,
D F ( r ) = [ F ( ζ ) - F ( ζ + r ) ] 2 ,
D F ( r ) r 5 3 .

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