Abstract

We describe how the T-matrix approach can be used to compute analytically the Stokes scattering matrix for randomly oriented bispheres with touching or separated components. Computations for randomly oriented bispheres with touching components are compared with those for volume-equivalent randomly oriented prolate spheroids with an aspect ratio of 2 and for a single volume-equivalent sphere. We show that cooperative (multiple-scattering) effects can make bispheres more efficient depolarizers than spheroids in the back-scattering direction.

© 1994 Optical Society of America

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References

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  1. P. C. Waterman, Phys. Rev. D 3, 825 (1971).
    [CrossRef]
  2. M. I. Mishchenko, J. Opt. Soc. Am. A 8, 871 (1991); Appl. Opt. 32, 4652 (1993).
    [CrossRef] [PubMed]
  3. J. W. Hovenier, C. V. M. van der Mee, Astron. Astrophys. 128, 1 (1983).
  4. D. W. Mackowski, Proc. R. Soc. London Ser. A 433, 599 (1991).
    [CrossRef]
  5. D. W. Mackowski, J. Opt. Soc. Am. A 11, 2851 (1994).
    [CrossRef]
  6. K. A. Fuller, Appl. Opt. 30, 4716 (1991).
    [CrossRef] [PubMed]
  7. J. E. Hansen, L. D. Travis, Space Sci. Rev. 16, 527 (1974).
    [CrossRef]
  8. M. I. Mishchenko, L. D. Travis, J. Quant. Spectrosc. Radiat. Transfer 51, 759 (1994).
    [CrossRef]
  9. K. A. Fuller, G. W. Kattawar, R. T. Wang, Appl. Opt. 25, 2521 (1986).
    [CrossRef] [PubMed]
  10. V. P. Tishkovets, Kinem. Fiz. Nebes. Tel. 10(2), 58 (1994).
  11. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  12. C.-R. Hu, G. W. Kattawar, M. E. Parkin, P. Herb, Appl. Opt. 26, 4159 (1987).
    [CrossRef] [PubMed]
  13. M. I. Mishchenko, L. D. Travis, Appl Opt. 33, 7206 (1994).
    [CrossRef] [PubMed]
  14. C. V. M. van der Mee, J. W. Hovenier, Astron. Astrophys. 228, 559 (1990).

1994 (4)

M. I. Mishchenko, L. D. Travis, J. Quant. Spectrosc. Radiat. Transfer 51, 759 (1994).
[CrossRef]

V. P. Tishkovets, Kinem. Fiz. Nebes. Tel. 10(2), 58 (1994).

M. I. Mishchenko, L. D. Travis, Appl Opt. 33, 7206 (1994).
[CrossRef] [PubMed]

D. W. Mackowski, J. Opt. Soc. Am. A 11, 2851 (1994).
[CrossRef]

1991 (3)

1990 (1)

C. V. M. van der Mee, J. W. Hovenier, Astron. Astrophys. 228, 559 (1990).

1987 (1)

1986 (1)

1983 (1)

J. W. Hovenier, C. V. M. van der Mee, Astron. Astrophys. 128, 1 (1983).

1974 (1)

J. E. Hansen, L. D. Travis, Space Sci. Rev. 16, 527 (1974).
[CrossRef]

1971 (1)

P. C. Waterman, Phys. Rev. D 3, 825 (1971).
[CrossRef]

Fuller, K. A.

Hansen, J. E.

J. E. Hansen, L. D. Travis, Space Sci. Rev. 16, 527 (1974).
[CrossRef]

Herb, P.

Hovenier, J. W.

C. V. M. van der Mee, J. W. Hovenier, Astron. Astrophys. 228, 559 (1990).

J. W. Hovenier, C. V. M. van der Mee, Astron. Astrophys. 128, 1 (1983).

Hu, C.-R.

Kattawar, G. W.

Mackowski, D. W.

D. W. Mackowski, J. Opt. Soc. Am. A 11, 2851 (1994).
[CrossRef]

D. W. Mackowski, Proc. R. Soc. London Ser. A 433, 599 (1991).
[CrossRef]

Mishchenko, M. I.

M. I. Mishchenko, L. D. Travis, J. Quant. Spectrosc. Radiat. Transfer 51, 759 (1994).
[CrossRef]

M. I. Mishchenko, L. D. Travis, Appl Opt. 33, 7206 (1994).
[CrossRef] [PubMed]

M. I. Mishchenko, J. Opt. Soc. Am. A 8, 871 (1991); Appl. Opt. 32, 4652 (1993).
[CrossRef] [PubMed]

Parkin, M. E.

Tishkovets, V. P.

V. P. Tishkovets, Kinem. Fiz. Nebes. Tel. 10(2), 58 (1994).

Travis, L. D.

M. I. Mishchenko, L. D. Travis, Appl Opt. 33, 7206 (1994).
[CrossRef] [PubMed]

M. I. Mishchenko, L. D. Travis, J. Quant. Spectrosc. Radiat. Transfer 51, 759 (1994).
[CrossRef]

J. E. Hansen, L. D. Travis, Space Sci. Rev. 16, 527 (1974).
[CrossRef]

van de Hulst, H. C.

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

van der Mee, C. V. M.

C. V. M. van der Mee, J. W. Hovenier, Astron. Astrophys. 228, 559 (1990).

J. W. Hovenier, C. V. M. van der Mee, Astron. Astrophys. 128, 1 (1983).

Wang, R. T.

Waterman, P. C.

P. C. Waterman, Phys. Rev. D 3, 825 (1971).
[CrossRef]

Appl Opt. (1)

M. I. Mishchenko, L. D. Travis, Appl Opt. 33, 7206 (1994).
[CrossRef] [PubMed]

Appl. Opt. (3)

Astron. Astrophys. (2)

C. V. M. van der Mee, J. W. Hovenier, Astron. Astrophys. 228, 559 (1990).

J. W. Hovenier, C. V. M. van der Mee, Astron. Astrophys. 128, 1 (1983).

J. Opt. Soc. Am. A (2)

J. Quant. Spectrosc. Radiat. Transfer (1)

M. I. Mishchenko, L. D. Travis, J. Quant. Spectrosc. Radiat. Transfer 51, 759 (1994).
[CrossRef]

Kinem. Fiz. Nebes. Tel. (1)

V. P. Tishkovets, Kinem. Fiz. Nebes. Tel. 10(2), 58 (1994).

Phys. Rev. D (1)

P. C. Waterman, Phys. Rev. D 3, 825 (1971).
[CrossRef]

Proc. R. Soc. London Ser. A (1)

D. W. Mackowski, Proc. R. Soc. London Ser. A 433, 599 (1991).
[CrossRef]

Space Sci. Rev. (1)

J. E. Hansen, L. D. Travis, Space Sci. Rev. 16, 527 (1974).
[CrossRef]

Other (1)

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

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Figures (1)

Fig. 1
Fig. 1

Elements of the Stokes scattering matrix for randomly oriented bispheres with touching components (thick solid curves), randomly oriented prolate spheroids with aspect ratio 2 (thin solid curves), and a single sphere (dotted curves).

Equations (8)

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E i ( r ) = n m [ a m n R g M m n ( k r ) + b m n R g N m n ( k r ) ] ,
E s ( r ) = n m [ p m n M m n ( k r ) + q m n N m n ( k r ) ] ,
p = Ta ,
E i j ( r j ) = n m [ a m n j R g M m n ( k r j ) + b m n j R g N m n ( k r j ) ] ,             j = 1 , 2 ,
E s j ( r j ) = n m [ p j M m n ( k r j ) + q m n j N m n ( k r j ) ] ,             j = 1 , 2 ,
p j + A j H j j p j = A j a j ,             j , j = 1 , 2 , j j .
p j = j = 1 2 T j j a j .
p = j = 1 2 J j p j = j = 1 2 j = 1 2 J j T j j a j = j = 1 2 j = 1 2 J j T j j J j a = Ta ,

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