Abstract

A compensated imaging system that corrects optical path length distortions due to atmospheric turbulence by means of an achromatic corrector will have residual errors caused by the dispersion of the atmosphere. These errors become significant for astronomical objects at large zenith angles, but they may be minimized by special dispersion correctors.

© 1977 Optical Society of America

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References

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  1. M. Born and E. Wolf, Principles of Optics, 3rd ed. (McGraw-Hill, New York, 1972).
  2. E. Wallner, “The Effects of Atmospheric Dispersion on Compensated Imaging,” Proceedings of the SPIE/SPSE Technical Symposium East, Vol.  75, No. 19, 1976.

1976 (1)

E. Wallner, “The Effects of Atmospheric Dispersion on Compensated Imaging,” Proceedings of the SPIE/SPSE Technical Symposium East, Vol.  75, No. 19, 1976.

Born, M.

M. Born and E. Wolf, Principles of Optics, 3rd ed. (McGraw-Hill, New York, 1972).

Wallner, E.

E. Wallner, “The Effects of Atmospheric Dispersion on Compensated Imaging,” Proceedings of the SPIE/SPSE Technical Symposium East, Vol.  75, No. 19, 1976.

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 3rd ed. (McGraw-Hill, New York, 1972).

Proceedings of the SPIE/SPSE Technical Symposium East (1)

E. Wallner, “The Effects of Atmospheric Dispersion on Compensated Imaging,” Proceedings of the SPIE/SPSE Technical Symposium East, Vol.  75, No. 19, 1976.

Other (1)

M. Born and E. Wolf, Principles of Optics, 3rd ed. (McGraw-Hill, New York, 1972).

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Figures (2)

FIG. 1
FIG. 1

Ray paths through atmosphere and image compensation system.

FIG. 2
FIG. 2

Turbulence factor in dispersion error.

Equations (6)

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N ( λ ) = n ( λ ) - 1 = N s ( λ ) ρ / ρ s ,
N ( λ 0 ) = 0 d λ I ( λ ) N ( λ ) ,
σ ch 2 = σ u 2 ( N - 2 ( λ 0 ) 0 d λ I ( λ ) N 2 ( λ ) - 1 ) ,
σ u = 0.162 ( D / r 0 ) 5 / 6 ( waves ) ,
Δ b 0 = [ N s ( λ ) - N s ( λ ) ] sec ζ tan ζ ( P 0 / g ρ s ) ,
ϕ 2 = 1 2 sec 8 / 3 ζ tan 5 / 3 ζ ( P 0 / g ρ s ) 5 / 3 × 0 d λ d λ I ( λ ) I ( λ ) N ( λ ) - N ( λ ) × 0 d h 2.91 λ 0 2 C n 2 ( h ) 1 - P ( h ) / P 0 5 / 3 ,