Abstract

The scattering cross sections of optically dense polystyrene-latex suspensions are determined as a function of wavelength, particle size, and particle concentration by using the anisotropic diffusion approximation to the radiative transport equation (or photon diffusion model) in conjunction with reflectance measurements from a thin, parallel-sided suspension cell. Corrections for internal and external surface reflection effects are made. Corresponding calculations are also made of the scattering cross sections based on published values of the Mie-scattering coefficient and phase function for single-particle scattering by making allowance for the fact that the effective refractive index of the medium surrounding a particle varies linearly with the volume concentration of surrounding scatterers. General agreement is found between the experimental and calculated values of the scattering cross sections. In particular a quantitative explanation is obtained for the decrease of scattering efficiency with volume concentration of scatterers.

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  1. F. B. Stieg, Official Dig. Fed. Paint Varnish 31 (1), 52 (1959).
  2. F. R. Marchetti, and W. R. Willets, J. Tech. Assoc. Pulp Paper Ind. 43, 273 (1960).
  3. H. G. Völz, Ber. Bunsenges. 71, 326, (1967).
  4. W. D. Ross, J. Paint Tech. 43, 50 (1971).
  5. R. H. Harding, B. Golding, and R. A. Morgen, J. Opt. Soc. Am. 50, 446 (1960).
  6. W. R. Blevin and W. J. Brown, J. Opt. Soc. Am. 51, 12 (1961).
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  14. L. F. Gate, J. Phys. D 5, 837 (1972).
  15. B. J. Brinkworth, J. Phys. D 4, 1105 (1971).
  16. B. J. Brinkworth, Appl. Opt. 11, 1434 (1972).
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  18. P. Anne Hiltner and Irwin M. Krieger, J. Phys. Chem. 73, 2386 (1969).
  19. W. Heller, Phys. Rev. 68, 5 (1945).
  20. W. M. Irvine, Bull. Astron. Insts. Netherlands 17, 176 (1963).
  21. C. M. Chu, G. C. Clark, and S. W. Churchill, Tables o Angular Distribution Coefficients for Light Scattering by Sphere (Engineering Research Institute, University of Michigan 1957).
  22. E. J. Moss, Ph.D. thesis, University of Bristol (1970).

Blevin, W. R.

W. R. Blevin and W. J. Brown, J. Opt. Soc. Am. 51, 12 (1961).

Brinkworth, B. J.

B. J. Brinkworth, J. Phys. D 4, 1105 (1971).

B. J. Brinkworth, Appl. Opt. 11, 1434 (1972).

Brown, W. J.

W. R. Blevin and W. J. Brown, J. Opt. Soc. Am. 51, 12 (1961).

Chu, C. M.

C. M. Chu, G. C. Clark, and S. W. Churchill, Tables o Angular Distribution Coefficients for Light Scattering by Sphere (Engineering Research Institute, University of Michigan 1957).

Churchill, S. W.

C. M. Chu, G. C. Clark, and S. W. Churchill, Tables o Angular Distribution Coefficients for Light Scattering by Sphere (Engineering Research Institute, University of Michigan 1957).

S. W. Churchill, G. C. Clark, and C. M. Sliepcevich, Discuss. Faraday Soc. 30, 192 (1960).

Clark, G. C.

S. W. Churchill, G. C. Clark, and C. M. Sliepcevich, Discuss. Faraday Soc. 30, 192 (1960).

C. M. Chu, G. C. Clark, and S. W. Churchill, Tables o Angular Distribution Coefficients for Light Scattering by Sphere (Engineering Research Institute, University of Michigan 1957).

Gate, L. F.

L. F. Gate, J. Phys. D 5, 837 (1972).

L. F. Gate, J. Phys. D 4, 1049 (1971).

Golding, B.

R. H. Harding, B. Golding, and R. A. Morgen, J. Opt. Soc. Am. 50, 446 (1960).

Harding, R. H.

R. H. Harding, B. Golding, and R. A. Morgen, J. Opt. Soc. Am. 50, 446 (1960).

Heller, W.

W. Heller, Phys. Rev. 68, 5 (1945).

Hiltner, P. Anne

P. Anne Hiltner and Irwin M. Krieger, J. Phys. Chem. 73, 2386 (1969).

Irvine, W. M.

W. M. Irvine, Bull. Astron. Insts. Netherlands 17, 176 (1963).

Jacobsen, R.

C. Smart, R. Jacobsen, M. Kerker, J. P. Kratohvil, and E. Matijević, J. Opt. Soc. Am. 55, 947 (1965).

Judd, D. B.

D. B. Judd, J. Res. Nat. Bur. Stand. (U. S.) 29, 329 (1942).

Kerker, M.

C. Smart, R. Jacobsen, M. Kerker, J. P. Kratohvil, and E. Matijević, J. Opt. Soc. Am. 55, 947 (1965).

Kratohvil, J. P.

C. Smart, R. Jacobsen, M. Kerker, J. P. Kratohvil, and E. Matijević, J. Opt. Soc. Am. 55, 947 (1965).

Krieger, Irwin M.

P. Anne Hiltner and Irwin M. Krieger, J. Phys. Chem. 73, 2386 (1969).

Kubelka, P.

P. Kubelka, J. Opt. Soc. Am. 38, 448 (1948).

Marchetti, F. R.

F. R. Marchetti, and W. R. Willets, J. Tech. Assoc. Pulp Paper Ind. 43, 273 (1960).

Matijevic, E.

C. Smart, R. Jacobsen, M. Kerker, J. P. Kratohvil, and E. Matijević, J. Opt. Soc. Am. 55, 947 (1965).

Morgen, R. A.

R. H. Harding, B. Golding, and R. A. Morgen, J. Opt. Soc. Am. 50, 446 (1960).

Moss, E. J.

E. J. Moss, Ph.D. thesis, University of Bristol (1970).

Mudgett, p. S.

p. S. Mudgett and L. W. Richards, Appl. Opt. 10, 1485 (1971).

Orchard, S. E.

S. E. Orchard, J. Opt. Soc. Am. 59, 1584 (1969).

Richards, L. W.

p. S. Mudgett and L. W. Richards, Appl. Opt. 10, 1485 (1971).

Ross, W. D.

W. D. Ross, J. Paint Tech. 43, 50 (1971).

Sliepcevich, C. M.

S. W. Churchill, G. C. Clark, and C. M. Sliepcevich, Discuss. Faraday Soc. 30, 192 (1960).

Smart, C.

C. Smart, R. Jacobsen, M. Kerker, J. P. Kratohvil, and E. Matijević, J. Opt. Soc. Am. 55, 947 (1965).

Stieg, F. B.

F. B. Stieg, Official Dig. Fed. Paint Varnish 31 (1), 52 (1959).

Vasalos, I. A.

I. A. Vasalos, Ph.D. thesis, MIT (1969).

Völz, H. G.

H. G. Völz, Ber. Bunsenges. 71, 326, (1967).

Willets, W. R.

F. R. Marchetti, and W. R. Willets, J. Tech. Assoc. Pulp Paper Ind. 43, 273 (1960).

Other (22)

F. B. Stieg, Official Dig. Fed. Paint Varnish 31 (1), 52 (1959).

F. R. Marchetti, and W. R. Willets, J. Tech. Assoc. Pulp Paper Ind. 43, 273 (1960).

H. G. Völz, Ber. Bunsenges. 71, 326, (1967).

W. D. Ross, J. Paint Tech. 43, 50 (1971).

R. H. Harding, B. Golding, and R. A. Morgen, J. Opt. Soc. Am. 50, 446 (1960).

W. R. Blevin and W. J. Brown, J. Opt. Soc. Am. 51, 12 (1961).

S. W. Churchill, G. C. Clark, and C. M. Sliepcevich, Discuss. Faraday Soc. 30, 192 (1960).

I. A. Vasalos, Ph.D. thesis, MIT (1969).

C. Smart, R. Jacobsen, M. Kerker, J. P. Kratohvil, and E. Matijević, J. Opt. Soc. Am. 55, 947 (1965).

S. E. Orchard, J. Opt. Soc. Am. 59, 1584 (1969).

p. S. Mudgett and L. W. Richards, Appl. Opt. 10, 1485 (1971).

L. F. Gate, J. Phys. D 4, 1049 (1971).

P. Kubelka, J. Opt. Soc. Am. 38, 448 (1948).

L. F. Gate, J. Phys. D 5, 837 (1972).

B. J. Brinkworth, J. Phys. D 4, 1105 (1971).

B. J. Brinkworth, Appl. Opt. 11, 1434 (1972).

D. B. Judd, J. Res. Nat. Bur. Stand. (U. S.) 29, 329 (1942).

P. Anne Hiltner and Irwin M. Krieger, J. Phys. Chem. 73, 2386 (1969).

W. Heller, Phys. Rev. 68, 5 (1945).

W. M. Irvine, Bull. Astron. Insts. Netherlands 17, 176 (1963).

C. M. Chu, G. C. Clark, and S. W. Churchill, Tables o Angular Distribution Coefficients for Light Scattering by Sphere (Engineering Research Institute, University of Michigan 1957).

E. J. Moss, Ph.D. thesis, University of Bristol (1970).

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