Abstract

The anti-coronae, or luminous rings around the anti-solar point, are explained as a peculiar diffraction phenomenon in small water drops. The optical and the electromagnetic theories give results in agreement with each other and with the observations. The most important features are those which relate to the polarization.

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  1. The frequent use of the common term "glory" (cf. Webster) was considered unsuitable in an article of this kind.
  2. H. C. van de Hulst, "Optics of spherical particles," Thesis Utrecht, 1946; also published in Rech. Astr. de l'Observatoire d'Utrecht, 11, Part I. Formulae from this work will be quoted as (T. 5, 14) etc.
  3. Airy's theory. See any textbook on meteorological optics.
  4. By comparing this asymptotic behavior of (8) with Eq. (1) the relative coefficients may be expressed in absolute units.
  5. G. Mie, Ann. d. Physik 25, 377 (1908).
  6. Balth. van der Pol and H. Bremmer, Phil. ag. 24, 141 and 825 (1937). Further articles on an analogous problem, ibid. 25, 817 and 27, 261.
  7. The outline given here follows the treatment by H. C. van de Hulst, reference 2, Chapter V.
  8. The explanation by B. Ray, Proc. Ind. Ass. for the Cultivation of Science 8 (1923), is not correct, for this reason.
  9. See Jahnke-Emde, Tables of Functions (B. G. Teubner, Leipzig, 1933 edition), especially Fig. 105.
  10. Pernter-Exner, Meteorologische Optik (W. Braumüller, Wien, 1910), p. 413 ff.
  11. F. Mierdel, Beiträge z. Physik d. freien Atmosphäre 8, 95 (1919).
  12. Dr. O. Struve has related to me that he observed an anti-corona through a nicol prism on a transatlantic flight, Sept. 15, 1946. It was strongly polarized and the dark and bright features rotated when the nicol was rotated. No radii or intensities were however estimated.
  13. Early experiments by Fraunhofer indicated that this rule was correct for the first three rings of common coronae. The "wave-length of white light" is 0.57 µ. See Pernter-Exner, p. 460.

1946

H. C. van de Hulst, "Optics of spherical particles," Thesis Utrecht, 1946; also published in Rech. Astr. de l'Observatoire d'Utrecht, 11, Part I. Formulae from this work will be quoted as (T. 5, 14) etc.

1937

Balth. van der Pol and H. Bremmer, Phil. ag. 24, 141 and 825 (1937). Further articles on an analogous problem, ibid. 25, 817 and 27, 261.

1923

The explanation by B. Ray, Proc. Ind. Ass. for the Cultivation of Science 8 (1923), is not correct, for this reason.

1919

F. Mierdel, Beiträge z. Physik d. freien Atmosphäre 8, 95 (1919).

1908

G. Mie, Ann. d. Physik 25, 377 (1908).

Bremmer, H.

Balth. van der Pol and H. Bremmer, Phil. ag. 24, 141 and 825 (1937). Further articles on an analogous problem, ibid. 25, 817 and 27, 261.

Mie, G.

G. Mie, Ann. d. Physik 25, 377 (1908).

Mierdel, F.

F. Mierdel, Beiträge z. Physik d. freien Atmosphäre 8, 95 (1919).

Ray, B.

The explanation by B. Ray, Proc. Ind. Ass. for the Cultivation of Science 8 (1923), is not correct, for this reason.

van de Hulst, H. C.

H. C. van de Hulst, "Optics of spherical particles," Thesis Utrecht, 1946; also published in Rech. Astr. de l'Observatoire d'Utrecht, 11, Part I. Formulae from this work will be quoted as (T. 5, 14) etc.

van der Pol, Balth.

Balth. van der Pol and H. Bremmer, Phil. ag. 24, 141 and 825 (1937). Further articles on an analogous problem, ibid. 25, 817 and 27, 261.

Other

The frequent use of the common term "glory" (cf. Webster) was considered unsuitable in an article of this kind.

H. C. van de Hulst, "Optics of spherical particles," Thesis Utrecht, 1946; also published in Rech. Astr. de l'Observatoire d'Utrecht, 11, Part I. Formulae from this work will be quoted as (T. 5, 14) etc.

Airy's theory. See any textbook on meteorological optics.

By comparing this asymptotic behavior of (8) with Eq. (1) the relative coefficients may be expressed in absolute units.

G. Mie, Ann. d. Physik 25, 377 (1908).

Balth. van der Pol and H. Bremmer, Phil. ag. 24, 141 and 825 (1937). Further articles on an analogous problem, ibid. 25, 817 and 27, 261.

The outline given here follows the treatment by H. C. van de Hulst, reference 2, Chapter V.

The explanation by B. Ray, Proc. Ind. Ass. for the Cultivation of Science 8 (1923), is not correct, for this reason.

See Jahnke-Emde, Tables of Functions (B. G. Teubner, Leipzig, 1933 edition), especially Fig. 105.

Pernter-Exner, Meteorologische Optik (W. Braumüller, Wien, 1910), p. 413 ff.

F. Mierdel, Beiträge z. Physik d. freien Atmosphäre 8, 95 (1919).

Dr. O. Struve has related to me that he observed an anti-corona through a nicol prism on a transatlantic flight, Sept. 15, 1946. It was strongly polarized and the dark and bright features rotated when the nicol was rotated. No radii or intensities were however estimated.

Early experiments by Fraunhofer indicated that this rule was correct for the first three rings of common coronae. The "wave-length of white light" is 0.57 µ. See Pernter-Exner, p. 460.

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