Abstract

Mie calculations illustrate the dependences of scattered intensity on polarization, angle, and size for bubbles with radii ≃0.3 mm in a siloxane liquid. Computations give evidence of the axial focusing observed in recent experiments and predicted by a model. Conditions for glory rays in drops and bubbles are derived, and errors in the literature are noted.

© 1982 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. H. C. van de Hulst, "A theory of the anti-coronae," J. Opt. Soc. Am. 37, 16–22 (1947).
  2. H. M. Nussenzveig, "Complex angular momentum theory of the rainbow and the glory," J. Opt. Soc. Am. 69, 1068–1079 (1979); V. Khare and H. M. Nussenzveig, "The theory of the glory," in Statistical Mechanics and Statistical Methods in Theory and Application, U. Landman, ed. (Plenum, New York, 1977), pp. 723–764.
  3. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  4. H. M. Nussenzveig and W. J. Wiscombe, "Forward optical glory," Opt. Lett. 5, 1279–1282 (1980).
  5. P. L. Marston and D. S. Langley, "Glory and depolarization in backscattering from air bubbles," J. Opt. Soc. Am. 70, 1607 (1980).
  6. D. S. Langley and P. L. Marston, "Glory in optical backscattering from air bubbles," Phys. Rev. Lett. 47, 913–916 (1981).
  7. G. Mie, "Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen," Ann. Phys. (Leipzig) 25, 377–445 (1908).
  8. P. L. Marston, D. S. Langley, and D. L. Kingsbury, "Light scattering by bubbles in liquids: Mie theory, physical-optics approximations, and experiments," in Proceedings of the 1981 IUTAM Symposium on the Mechanics and Physics of Bubbles in Fluids, L. van Wijngaarden, ed., Appl. Sci. Res. 38, 373–383 (1982).
  9. G. E. Davis, "Scattering of light by an air bubble in water," J. Opt. Soc. Am. 45, 572–581 (1955).
  10. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969), p. 145.
  11. G. P. Können and J. H. deBoer, "Polarized rainbow," Appl. Opt. 18, 1961–1965 (1979).
  12. D. L. Kingsbury and P. L. Marston, "Mie scattering near the critical angle of bubbles in water," J. Opt. Soc. Am. 71, 358–361 (1981).
  13. D. E. Barrick, "Spheres," in Radar Cross Section Handbook, G. T. Ruck, ed. (Plenum, New York, 1970), Vol. 1, Chap. 3.
  14. W. J. Wiscombe, "Improved Mie scattering algorithms," Appl. Opt. 19, 1505–1509 (1980).
  15. J. J. Stephens, P. S. Ray, and T. W. Kitterman, "Far-field impulse response verification of selected high-frequency optics backscattering analogs," Appl. Opt. 14, 2169–2176 (1975).
  16. H. C. Bryant and A. J. Cox, "Mie theory and the glory," J. Opt. Soc. Am. 56, 1529–1532 (1966).
  17. R. G. Kouyoumjian, L. Peters, Jr., and D. T. Thomas, "A modified geometrical optics method for scattering by dielectric bodies," IEEE Trans. Antennas Propag. AP-11, 690–703 (1963).
  18. S. M. Chernov, K. K. Zhilik, A. N. Lukomskii, and P. P. Lamekin, "Determination of the refractive index of homogeneous cylindrical fibers," Opt. Spectrosc. (USSR) 48, 541–543 (1980).
  19. Numerical and algebraic tests indicate that Barrick's footnote (p.168 of Ref. 13) is incorrect. It states that there are two values of θ˜ for p = 3 when ⅔ < m < 2¼.

1981

D. S. Langley and P. L. Marston, "Glory in optical backscattering from air bubbles," Phys. Rev. Lett. 47, 913–916 (1981).

D. L. Kingsbury and P. L. Marston, "Mie scattering near the critical angle of bubbles in water," J. Opt. Soc. Am. 71, 358–361 (1981).

1980

W. J. Wiscombe, "Improved Mie scattering algorithms," Appl. Opt. 19, 1505–1509 (1980).

H. M. Nussenzveig and W. J. Wiscombe, "Forward optical glory," Opt. Lett. 5, 1279–1282 (1980).

P. L. Marston and D. S. Langley, "Glory and depolarization in backscattering from air bubbles," J. Opt. Soc. Am. 70, 1607 (1980).

S. M. Chernov, K. K. Zhilik, A. N. Lukomskii, and P. P. Lamekin, "Determination of the refractive index of homogeneous cylindrical fibers," Opt. Spectrosc. (USSR) 48, 541–543 (1980).

1979

1975

1966

1963

R. G. Kouyoumjian, L. Peters, Jr., and D. T. Thomas, "A modified geometrical optics method for scattering by dielectric bodies," IEEE Trans. Antennas Propag. AP-11, 690–703 (1963).

1955

1947

1908

G. Mie, "Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen," Ann. Phys. (Leipzig) 25, 377–445 (1908).

Barrick, D. E.

D. E. Barrick, "Spheres," in Radar Cross Section Handbook, G. T. Ruck, ed. (Plenum, New York, 1970), Vol. 1, Chap. 3.

Bryant, H. C.

Chernov, S. M.

S. M. Chernov, K. K. Zhilik, A. N. Lukomskii, and P. P. Lamekin, "Determination of the refractive index of homogeneous cylindrical fibers," Opt. Spectrosc. (USSR) 48, 541–543 (1980).

Cox, A. J.

Davis, G. E.

deBoer, J. H.

Kerker, M.

M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969), p. 145.

Kingsbury, D. L.

D. L. Kingsbury and P. L. Marston, "Mie scattering near the critical angle of bubbles in water," J. Opt. Soc. Am. 71, 358–361 (1981).

P. L. Marston, D. S. Langley, and D. L. Kingsbury, "Light scattering by bubbles in liquids: Mie theory, physical-optics approximations, and experiments," in Proceedings of the 1981 IUTAM Symposium on the Mechanics and Physics of Bubbles in Fluids, L. van Wijngaarden, ed., Appl. Sci. Res. 38, 373–383 (1982).

Kitterman, T. W.

Können, G. P.

Kouyoumjian, R. G.

R. G. Kouyoumjian, L. Peters, Jr., and D. T. Thomas, "A modified geometrical optics method for scattering by dielectric bodies," IEEE Trans. Antennas Propag. AP-11, 690–703 (1963).

Lamekin, P. P.

S. M. Chernov, K. K. Zhilik, A. N. Lukomskii, and P. P. Lamekin, "Determination of the refractive index of homogeneous cylindrical fibers," Opt. Spectrosc. (USSR) 48, 541–543 (1980).

Langley, D. S.

D. S. Langley and P. L. Marston, "Glory in optical backscattering from air bubbles," Phys. Rev. Lett. 47, 913–916 (1981).

P. L. Marston and D. S. Langley, "Glory and depolarization in backscattering from air bubbles," J. Opt. Soc. Am. 70, 1607 (1980).

P. L. Marston, D. S. Langley, and D. L. Kingsbury, "Light scattering by bubbles in liquids: Mie theory, physical-optics approximations, and experiments," in Proceedings of the 1981 IUTAM Symposium on the Mechanics and Physics of Bubbles in Fluids, L. van Wijngaarden, ed., Appl. Sci. Res. 38, 373–383 (1982).

Lukomskii, A. N.

S. M. Chernov, K. K. Zhilik, A. N. Lukomskii, and P. P. Lamekin, "Determination of the refractive index of homogeneous cylindrical fibers," Opt. Spectrosc. (USSR) 48, 541–543 (1980).

Marston, P. L.

D. S. Langley and P. L. Marston, "Glory in optical backscattering from air bubbles," Phys. Rev. Lett. 47, 913–916 (1981).

D. L. Kingsbury and P. L. Marston, "Mie scattering near the critical angle of bubbles in water," J. Opt. Soc. Am. 71, 358–361 (1981).

P. L. Marston and D. S. Langley, "Glory and depolarization in backscattering from air bubbles," J. Opt. Soc. Am. 70, 1607 (1980).

P. L. Marston, D. S. Langley, and D. L. Kingsbury, "Light scattering by bubbles in liquids: Mie theory, physical-optics approximations, and experiments," in Proceedings of the 1981 IUTAM Symposium on the Mechanics and Physics of Bubbles in Fluids, L. van Wijngaarden, ed., Appl. Sci. Res. 38, 373–383 (1982).

Mie, G.

G. Mie, "Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen," Ann. Phys. (Leipzig) 25, 377–445 (1908).

Nussenzveig, H. M.

H. M. Nussenzveig and W. J. Wiscombe, "Forward optical glory," Opt. Lett. 5, 1279–1282 (1980).

H. M. Nussenzveig, "Complex angular momentum theory of the rainbow and the glory," J. Opt. Soc. Am. 69, 1068–1079 (1979); V. Khare and H. M. Nussenzveig, "The theory of the glory," in Statistical Mechanics and Statistical Methods in Theory and Application, U. Landman, ed. (Plenum, New York, 1977), pp. 723–764.

Peters, Jr., L.

R. G. Kouyoumjian, L. Peters, Jr., and D. T. Thomas, "A modified geometrical optics method for scattering by dielectric bodies," IEEE Trans. Antennas Propag. AP-11, 690–703 (1963).

Ray, P. S.

Stephens, J. J.

Thomas, D. T.

R. G. Kouyoumjian, L. Peters, Jr., and D. T. Thomas, "A modified geometrical optics method for scattering by dielectric bodies," IEEE Trans. Antennas Propag. AP-11, 690–703 (1963).

van de Hulst, H. C.

H. C. van de Hulst, "A theory of the anti-coronae," J. Opt. Soc. Am. 37, 16–22 (1947).

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

Wiscombe, W. J.

W. J. Wiscombe, "Improved Mie scattering algorithms," Appl. Opt. 19, 1505–1509 (1980).

H. M. Nussenzveig and W. J. Wiscombe, "Forward optical glory," Opt. Lett. 5, 1279–1282 (1980).

Zhilik, K. K.

S. M. Chernov, K. K. Zhilik, A. N. Lukomskii, and P. P. Lamekin, "Determination of the refractive index of homogeneous cylindrical fibers," Opt. Spectrosc. (USSR) 48, 541–543 (1980).

Ann. Phys. (Leipzig)

G. Mie, "Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen," Ann. Phys. (Leipzig) 25, 377–445 (1908).

Appl. Opt.

IEEE Trans. Antennas Propag.

R. G. Kouyoumjian, L. Peters, Jr., and D. T. Thomas, "A modified geometrical optics method for scattering by dielectric bodies," IEEE Trans. Antennas Propag. AP-11, 690–703 (1963).

J. Opt. Soc. Am.

Opt. Lett.

H. M. Nussenzveig and W. J. Wiscombe, "Forward optical glory," Opt. Lett. 5, 1279–1282 (1980).

Opt. Spectrosc.

S. M. Chernov, K. K. Zhilik, A. N. Lukomskii, and P. P. Lamekin, "Determination of the refractive index of homogeneous cylindrical fibers," Opt. Spectrosc. (USSR) 48, 541–543 (1980).

Phys. Rev. Lett.

D. S. Langley and P. L. Marston, "Glory in optical backscattering from air bubbles," Phys. Rev. Lett. 47, 913–916 (1981).

Other

H. M. Nussenzveig, "Complex angular momentum theory of the rainbow and the glory," J. Opt. Soc. Am. 69, 1068–1079 (1979); V. Khare and H. M. Nussenzveig, "The theory of the glory," in Statistical Mechanics and Statistical Methods in Theory and Application, U. Landman, ed. (Plenum, New York, 1977), pp. 723–764.

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

P. L. Marston, D. S. Langley, and D. L. Kingsbury, "Light scattering by bubbles in liquids: Mie theory, physical-optics approximations, and experiments," in Proceedings of the 1981 IUTAM Symposium on the Mechanics and Physics of Bubbles in Fluids, L. van Wijngaarden, ed., Appl. Sci. Res. 38, 373–383 (1982).

M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969), p. 145.

D. E. Barrick, "Spheres," in Radar Cross Section Handbook, G. T. Ruck, ed. (Plenum, New York, 1970), Vol. 1, Chap. 3.

Numerical and algebraic tests indicate that Barrick's footnote (p.168 of Ref. 13) is incorrect. It states that there are two values of θ˜ for p = 3 when ⅔ < m < 2¼.

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.