Abstract

The explanation for the meteorological glory provided by the complex angular momentum theory is revisited in response to comments that a simpler physical picture would be desirable. New results that confirm the tunneling origin of the glory and the roles of resonances and surface waves in this phenomenon are presented, and expressions for averaged angular distribution and polarization features are given.

© 2002 Optical Society of America

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References

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  1. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  2. H. M. Nussenzveig, Diffraction Effects in Semiclassical Scattering (Cambridge U. Press, Cambridge, 1992), and references therein.
    [CrossRef]
  3. V. Khare and H. M. Nussenzveig, Phys. Rev. Lett. 38, 1279 (1977).
    [CrossRef]
  4. J. R. Probert-Jones, J. Opt. Soc. Am. A 1, 822 (1984).
    [CrossRef]
  5. S. T. Shipley and J. A. Weinman, J. Opt. Soc. Am. 68, 130 (1978).
  6. L. G. Guimarães and H. M. Nussenzveig, J. Mod. Opt. 41, 625 (1994).
    [CrossRef]
  7. R. G. Pinnick, S. G. Jennings, P. Chylek, C. Ham, and W. T. Grandy, J. Geophys. Res. 88, 6787 (1983).
    [CrossRef]
  8. R. Greenler, Rainbows, Halos, and Glories (Cambridge U. Press, Cambridge, 1980), p. 146.
  9. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983), p. 389.
  10. D. K. Lynch and W. Livingston, Color and Light in Nature, 2nd ed. (Cambridge U. Press, Cambridge, 2001), p. 136.
  11. L. Collot, V. Lefèvre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. 23, 327 (1993).
    [CrossRef]
  12. R. A. Cheville, R. W. McGowan, and D. Grischkowsky, Phys. Rev. Lett. 80, 269 (1998).
    [CrossRef]
  13. A. Mekis, J. U. Nöckel, G. Shen, A. D. Stone, and R. K. Chang, Phys. Rev. Lett. 75, 2682 (1995).
    [CrossRef] [PubMed]
  14. J. P. Barton, J. Opt. Soc. Am. A 16, 1974 (1999). I thank an anonymous referee for drawing my attention to this reference.
    [CrossRef]

1999

1998

R. A. Cheville, R. W. McGowan, and D. Grischkowsky, Phys. Rev. Lett. 80, 269 (1998).
[CrossRef]

1995

A. Mekis, J. U. Nöckel, G. Shen, A. D. Stone, and R. K. Chang, Phys. Rev. Lett. 75, 2682 (1995).
[CrossRef] [PubMed]

1994

L. G. Guimarães and H. M. Nussenzveig, J. Mod. Opt. 41, 625 (1994).
[CrossRef]

1993

L. Collot, V. Lefèvre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. 23, 327 (1993).
[CrossRef]

1984

1983

R. G. Pinnick, S. G. Jennings, P. Chylek, C. Ham, and W. T. Grandy, J. Geophys. Res. 88, 6787 (1983).
[CrossRef]

1978

1977

V. Khare and H. M. Nussenzveig, Phys. Rev. Lett. 38, 1279 (1977).
[CrossRef]

Barton, J. P.

Bohren, C. F.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983), p. 389.

Brune, M.

L. Collot, V. Lefèvre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. 23, 327 (1993).
[CrossRef]

Chang, R. K.

A. Mekis, J. U. Nöckel, G. Shen, A. D. Stone, and R. K. Chang, Phys. Rev. Lett. 75, 2682 (1995).
[CrossRef] [PubMed]

Cheville, R. A.

R. A. Cheville, R. W. McGowan, and D. Grischkowsky, Phys. Rev. Lett. 80, 269 (1998).
[CrossRef]

Chylek, P.

R. G. Pinnick, S. G. Jennings, P. Chylek, C. Ham, and W. T. Grandy, J. Geophys. Res. 88, 6787 (1983).
[CrossRef]

Collot, L.

L. Collot, V. Lefèvre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. 23, 327 (1993).
[CrossRef]

Grandy, W. T.

R. G. Pinnick, S. G. Jennings, P. Chylek, C. Ham, and W. T. Grandy, J. Geophys. Res. 88, 6787 (1983).
[CrossRef]

Greenler, R.

R. Greenler, Rainbows, Halos, and Glories (Cambridge U. Press, Cambridge, 1980), p. 146.

Grischkowsky, D.

R. A. Cheville, R. W. McGowan, and D. Grischkowsky, Phys. Rev. Lett. 80, 269 (1998).
[CrossRef]

Guimarães, L. G.

L. G. Guimarães and H. M. Nussenzveig, J. Mod. Opt. 41, 625 (1994).
[CrossRef]

Ham, C.

R. G. Pinnick, S. G. Jennings, P. Chylek, C. Ham, and W. T. Grandy, J. Geophys. Res. 88, 6787 (1983).
[CrossRef]

Haroche, S.

L. Collot, V. Lefèvre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. 23, 327 (1993).
[CrossRef]

Huffman, D. R.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983), p. 389.

Jennings, S. G.

R. G. Pinnick, S. G. Jennings, P. Chylek, C. Ham, and W. T. Grandy, J. Geophys. Res. 88, 6787 (1983).
[CrossRef]

Khare, V.

V. Khare and H. M. Nussenzveig, Phys. Rev. Lett. 38, 1279 (1977).
[CrossRef]

Lefèvre-Seguin, V.

L. Collot, V. Lefèvre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. 23, 327 (1993).
[CrossRef]

Livingston, W.

D. K. Lynch and W. Livingston, Color and Light in Nature, 2nd ed. (Cambridge U. Press, Cambridge, 2001), p. 136.

Lynch, D. K.

D. K. Lynch and W. Livingston, Color and Light in Nature, 2nd ed. (Cambridge U. Press, Cambridge, 2001), p. 136.

McGowan, R. W.

R. A. Cheville, R. W. McGowan, and D. Grischkowsky, Phys. Rev. Lett. 80, 269 (1998).
[CrossRef]

Mekis, A.

A. Mekis, J. U. Nöckel, G. Shen, A. D. Stone, and R. K. Chang, Phys. Rev. Lett. 75, 2682 (1995).
[CrossRef] [PubMed]

Nöckel, J. U.

A. Mekis, J. U. Nöckel, G. Shen, A. D. Stone, and R. K. Chang, Phys. Rev. Lett. 75, 2682 (1995).
[CrossRef] [PubMed]

Nussenzveig, H. M.

L. G. Guimarães and H. M. Nussenzveig, J. Mod. Opt. 41, 625 (1994).
[CrossRef]

V. Khare and H. M. Nussenzveig, Phys. Rev. Lett. 38, 1279 (1977).
[CrossRef]

H. M. Nussenzveig, Diffraction Effects in Semiclassical Scattering (Cambridge U. Press, Cambridge, 1992), and references therein.
[CrossRef]

Pinnick, R. G.

R. G. Pinnick, S. G. Jennings, P. Chylek, C. Ham, and W. T. Grandy, J. Geophys. Res. 88, 6787 (1983).
[CrossRef]

Probert-Jones, J. R.

Raimond, J. M.

L. Collot, V. Lefèvre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. 23, 327 (1993).
[CrossRef]

Shen, G.

A. Mekis, J. U. Nöckel, G. Shen, A. D. Stone, and R. K. Chang, Phys. Rev. Lett. 75, 2682 (1995).
[CrossRef] [PubMed]

Shipley, S. T.

Stone, A. D.

A. Mekis, J. U. Nöckel, G. Shen, A. D. Stone, and R. K. Chang, Phys. Rev. Lett. 75, 2682 (1995).
[CrossRef] [PubMed]

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).

Weinman, J. A.

Europhys. Lett.

L. Collot, V. Lefèvre-Seguin, M. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. 23, 327 (1993).
[CrossRef]

J. Geophys. Res.

R. G. Pinnick, S. G. Jennings, P. Chylek, C. Ham, and W. T. Grandy, J. Geophys. Res. 88, 6787 (1983).
[CrossRef]

J. Mod. Opt.

L. G. Guimarães and H. M. Nussenzveig, J. Mod. Opt. 41, 625 (1994).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Phys. Rev. Lett.

V. Khare and H. M. Nussenzveig, Phys. Rev. Lett. 38, 1279 (1977).
[CrossRef]

R. A. Cheville, R. W. McGowan, and D. Grischkowsky, Phys. Rev. Lett. 80, 269 (1998).
[CrossRef]

A. Mekis, J. U. Nöckel, G. Shen, A. D. Stone, and R. K. Chang, Phys. Rev. Lett. 75, 2682 (1995).
[CrossRef] [PubMed]

Other

H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).

H. M. Nussenzveig, Diffraction Effects in Semiclassical Scattering (Cambridge U. Press, Cambridge, 1992), and references therein.
[CrossRef]

R. Greenler, Rainbows, Halos, and Glories (Cambridge U. Press, Cambridge, 1980), p. 146.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983), p. 389.

D. K. Lynch and W. Livingston, Color and Light in Nature, 2nd ed. (Cambridge U. Press, Cambridge, 2001), p. 136.

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Figures (4)

Fig. 1
Fig. 1

Comparison of Mie and CAM theories for the third Debye term.

Fig. 2
Fig. 2

Running average, over δx=0.82, of the backscattering gain. Black curve, Mie result; red curve, above edge; blue curve, below edge; green curve, geometrical optics; lavender curve, nonresonant CAM result.

Fig. 3
Fig. 3

Running average, over δx=0.82, of parameter cx.

Fig. 4
Fig. 4

Typical angular distribution and polarization in natural glories.

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

S1x,θ2SMxJ1u+2SExJ1u/u, uπ-θx1,
ix,θ/ix,π=J02u+cxJ22u,
Px,θ=2cxJ0uJ2u/J02u+cxJ22u,
cxSEx-SMx/SEx+SMx2.

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