Abstract

The positions of the neutral points of the skylight are computed for the model of a Rayleigh atmosphere and a smooth water surface that reflects light specularly according to the Fresnel law. The Babinet and Brewster points disappear from the principal plane. They appear within a few degrees below the almucantar near the direction of the sun. The Arago point does not disappear from the principal plane but is shifted closer to the horizon.

© 1968 Optical Society of America

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References

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  1. M. A. Cornu, Compt. Rend. 99, 488 (1884).
  2. C. Jensen, in Handbuch der Geophysik 8 (Gebrüder Bornträger, Berlin, 1942), pp. 527–560.
  3. H. H. Neuberger, Bull. Am. Meteorol. Soc. 22, 348 (1941).
  4. H. H. Neuberger, Bull. Am. Meteorol. Soc. 31, 119 (1950).
  5. Z. Sekera, in Advances in Geophysics 3 (Academic Press Inc., New York, 1956), pp. 43–104.
    [Crossref]
  6. Z. Sekera, in Union Géodésique et Géophysique Internationale, Monograph 10, N. G. Jerlov, Ed. (l’Institut Géographique National, Paris, 1961), pp. 66–72.
  7. J. L. Soret, Compt. Rend. 107, 867 (1888).
  8. E. O. Hulburt, J. Opt. Soc. Am. 24, 35 (1934).
    [Crossref]
  9. R. S. Fraser and W. H. Walker, J. Opt. Soc. Am. 58, 636 (1968).
    [Crossref]
  10. Yu.-A. R. Mullamaa, Atlas of the Optical Characteristics of the Disturbed Sea Surface (Akademiya Nauk Estonskoi SSR, Institut Fiziki i Astronomii, Tartu, Russia, 1964) (in Russian).

1968 (1)

1950 (1)

H. H. Neuberger, Bull. Am. Meteorol. Soc. 31, 119 (1950).

1941 (1)

H. H. Neuberger, Bull. Am. Meteorol. Soc. 22, 348 (1941).

1934 (1)

1888 (1)

J. L. Soret, Compt. Rend. 107, 867 (1888).

1884 (1)

M. A. Cornu, Compt. Rend. 99, 488 (1884).

Cornu, M. A.

M. A. Cornu, Compt. Rend. 99, 488 (1884).

Fraser, R. S.

Hulburt, E. O.

Jensen, C.

C. Jensen, in Handbuch der Geophysik 8 (Gebrüder Bornträger, Berlin, 1942), pp. 527–560.

Mullamaa, Yu.-A. R.

Yu.-A. R. Mullamaa, Atlas of the Optical Characteristics of the Disturbed Sea Surface (Akademiya Nauk Estonskoi SSR, Institut Fiziki i Astronomii, Tartu, Russia, 1964) (in Russian).

Neuberger, H. H.

H. H. Neuberger, Bull. Am. Meteorol. Soc. 31, 119 (1950).

H. H. Neuberger, Bull. Am. Meteorol. Soc. 22, 348 (1941).

Sekera, Z.

Z. Sekera, in Advances in Geophysics 3 (Academic Press Inc., New York, 1956), pp. 43–104.
[Crossref]

Z. Sekera, in Union Géodésique et Géophysique Internationale, Monograph 10, N. G. Jerlov, Ed. (l’Institut Géographique National, Paris, 1961), pp. 66–72.

Soret, J. L.

J. L. Soret, Compt. Rend. 107, 867 (1888).

Walker, W. H.

Bull. Am. Meteorol. Soc. (2)

H. H. Neuberger, Bull. Am. Meteorol. Soc. 22, 348 (1941).

H. H. Neuberger, Bull. Am. Meteorol. Soc. 31, 119 (1950).

Compt. Rend. (2)

J. L. Soret, Compt. Rend. 107, 867 (1888).

M. A. Cornu, Compt. Rend. 99, 488 (1884).

J. Opt. Soc. Am. (2)

Other (4)

Yu.-A. R. Mullamaa, Atlas of the Optical Characteristics of the Disturbed Sea Surface (Akademiya Nauk Estonskoi SSR, Institut Fiziki i Astronomii, Tartu, Russia, 1964) (in Russian).

Z. Sekera, in Advances in Geophysics 3 (Academic Press Inc., New York, 1956), pp. 43–104.
[Crossref]

Z. Sekera, in Union Géodésique et Géophysique Internationale, Monograph 10, N. G. Jerlov, Ed. (l’Institut Géographique National, Paris, 1961), pp. 66–72.

C. Jensen, in Handbuch der Geophysik 8 (Gebrüder Bornträger, Berlin, 1942), pp. 527–560.

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Figures (4)

Fig. 1
Fig. 1

The zenith angles of the Babinet and Brewster points in the principal plane at the base of the atmosphere of the Fresnel model. The dashed Brewster and Babinet curves are interpolated.

Fig. 2
Fig. 2

The azimuthal angle of the neutral point from the principal plane at the base of the atmosphere. The dashed curves are interpolated.

Fig. 3
Fig. 3

The computed course of the neutral points when they leave the vertical plane of the Fresnel model. The ordinate in degrees on the right is accurate for θ0 = 70° but slightly in error for the other θ0 of this figure; τ1 = 0.15.

Fig. 4
Fig. 4

The Arago-point distance over large bodies of water. The computed curves are for the Fresnel (continuous lines) and the Lambert (dashed line) models. The measured positions were made by Jensen2 (○—○ and □—□ for seas and △—△ for a lake) and by Neuberger4 (♢– –♢, sea).