Abstract

Mie-scattering algorithms were used to compute scattered intensities and phase differences for air bubbles in water. Results are plotted as a function of the scattering angle ø in the general range of 30–90° for size parameters <i>ka</i> of 25, 100, 1,000, and 10,000 (corresponding to radii <i>a</i> ≃ 1.3 µm to 0.8 mm). As ø decreases below the critical scattering angle at 82.8°, the intensity increases and undergoes broadly spaced oscillations that are described by a physical-optics approximation developed by the authors in a separate publication. Mie scattering also exhibits finely spaced oscillations.

© 1981 Optical Society of America

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  1. P. L. Marston, "Critical angle scattering by a bubble: physical-optics approximation and observations," J. Opt. Soc. Am. 69, 1205–1211 (1979); 70, 353(E) (1980).
  2. P. L. Marston and D. L. Kingsbury, "Scattering by a bubble in water near the critical angle: interference effects," J. Opt. Soc. Am. 71, 192–196 (1981).
  3. G. Mie, "Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen," Ann. Phys. (Leipzig) 25, 377–445 (1908).
  4. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  5. W. J. Wiscombe, "Improved Mie scattering algorithms," Appl. Opt. 19, 1505–1509 (1980).
  6. R. H. Boll, R. O. Gumprecht, and C. M. Sliepcevich, "Theoretical light scattering coefficients for relative refractive indexes less than unity and for totally reflecting spheres," J. Opt. Soc. Am. 44, 18–21 (1954).
  7. R. H. Boll et al., Tables of Light-Scattering Functions (U. Michigan Press, Ann Arbor, Mich., 1958).
  8. I. L. Zelmanovich and K. S. Shifrin, Tables of Light Scattering. Part III: Coefficients of Extinction, Scattering, and Light Pressure (Hydrometeorological Publishing House, Leningrad, 1968).
  9. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic, New York, 1969).
  10. J. V. Dave, "Scattering of visible light by large water spheres," Appl. Opt. 8, 155–164 (1968).
  11. W. J. Wiscombe, "Mie Scattering Calculations: Advances in Technique and Fast, Vector-Speed Computer Codes," NCAR Technical Note NCAR/TN-140+STR (National Center for Atmospheric Research, Boulder, Colo., 1979).
  12. G. E. Davis, "Scattering of light by an air bubble in water," J. Opt. Soc. Am. 45, 572–581 (1955).
  13. B. D. Johnson and R. C. Cooke, "Bubble populations and spectra in coastal waters: a photographic approach," J. Geophys. Res. 84, 3761–3766 (1979).
  14. A. Keller, "Ein Streulicht-Zählverfahren, angewandt zur Bestimmung des Kavitationskeimspektrums," Optik 32, 165–176 (1970).
  15. A. Keller, "The influence of the cavitation nucleus spectrum on cavitation inception, investigated with a scattered-light counting method," J. Basic Eng. 94, 917–925 (1972).

1981 (1)

1980 (1)

1979 (2)

B. D. Johnson and R. C. Cooke, "Bubble populations and spectra in coastal waters: a photographic approach," J. Geophys. Res. 84, 3761–3766 (1979).

P. L. Marston, "Critical angle scattering by a bubble: physical-optics approximation and observations," J. Opt. Soc. Am. 69, 1205–1211 (1979); 70, 353(E) (1980).

1972 (1)

A. Keller, "The influence of the cavitation nucleus spectrum on cavitation inception, investigated with a scattered-light counting method," J. Basic Eng. 94, 917–925 (1972).

1970 (1)

A. Keller, "Ein Streulicht-Zählverfahren, angewandt zur Bestimmung des Kavitationskeimspektrums," Optik 32, 165–176 (1970).

1968 (1)

1955 (1)

1954 (1)

1908 (1)

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

Boll, R. H.

Cooke, R. C.

B. D. Johnson and R. C. Cooke, "Bubble populations and spectra in coastal waters: a photographic approach," J. Geophys. Res. 84, 3761–3766 (1979).

Dave, J. V.

Davis, G. E.

Gumprecht, R. O.

Johnson, B. D.

B. D. Johnson and R. C. Cooke, "Bubble populations and spectra in coastal waters: a photographic approach," J. Geophys. Res. 84, 3761–3766 (1979).

Keller, A.

A. Keller, "The influence of the cavitation nucleus spectrum on cavitation inception, investigated with a scattered-light counting method," J. Basic Eng. 94, 917–925 (1972).

A. Keller, "Ein Streulicht-Zählverfahren, angewandt zur Bestimmung des Kavitationskeimspektrums," Optik 32, 165–176 (1970).

Kerker, M.

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

Kingsbury, D. L.

Marston, P. L.

Mie, G.

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

Shifrin, K. S.

I. L. Zelmanovich and K. S. Shifrin, Tables of Light Scattering. Part III: Coefficients of Extinction, Scattering, and Light Pressure (Hydrometeorological Publishing House, Leningrad, 1968).

Sliepcevich, C. M.

van de Hulst, H. C.

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).

W. J. Wiscombe, "Mie Scattering Calculations: Advances in Technique and Fast, Vector-Speed Computer Codes," NCAR Technical Note NCAR/TN-140+STR (National Center for Atmospheric Research, Boulder, Colo., 1979).

Zelmanovich, I. L.

I. L. Zelmanovich and K. S. Shifrin, Tables of Light Scattering. Part III: Coefficients of Extinction, Scattering, and Light Pressure (Hydrometeorological Publishing House, Leningrad, 1968).

Ann. Phys. Leipzig (1)

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

Appl. Opt. (2)

J. Basic Eng. (1)

A. Keller, "The influence of the cavitation nucleus spectrum on cavitation inception, investigated with a scattered-light counting method," J. Basic Eng. 94, 917–925 (1972).

J. Geophys. Res. (1)

B. D. Johnson and R. C. Cooke, "Bubble populations and spectra in coastal waters: a photographic approach," J. Geophys. Res. 84, 3761–3766 (1979).

J. Opt. Soc. Am. (4)

Optik (1)

A. Keller, "Ein Streulicht-Zählverfahren, angewandt zur Bestimmung des Kavitationskeimspektrums," Optik 32, 165–176 (1970).

Other (5)

W. J. Wiscombe, "Mie Scattering Calculations: Advances in Technique and Fast, Vector-Speed Computer Codes," NCAR Technical Note NCAR/TN-140+STR (National Center for Atmospheric Research, Boulder, Colo., 1979).

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

R. H. Boll et al., Tables of Light-Scattering Functions (U. Michigan Press, Ann Arbor, Mich., 1958).

I. L. Zelmanovich and K. S. Shifrin, Tables of Light Scattering. Part III: Coefficients of Extinction, Scattering, and Light Pressure (Hydrometeorological Publishing House, Leningrad, 1968).

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

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