Abstract

In the small-angle approximation, the exact solution of an equation of radiative transfer is cast in a series form suitable for numerical computation. This is used to calculate the radiance produced by a cw laser beam. For the medium with Gaussian phase function, a convergent numerical procedure is described. Explicit results for the scattered radiance, obtained for a wide range of parameters, display the existence of three well-defined regions on the plots of radiance versus transverse distance. A comparison of the exact theory with two approximate approaches is carried out.

© 1979 Optical Society of America

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References

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  1. R. P. Hemenger, J. Opt. Soc. Am. 64, 503 (1974).
  2. D. Arnush, J. Opt. Soc. Am. 62, 9 (1972).
  3. J. A. Weinman, J. Atmos. Sci. 33,1763 (1976).
  4. L. B. Stotts, J. Opt. Soc. Am. 67, 815 (1977).
  5. R. L. Fante, J. Opt. Soc. Am. 64, 592 (1974).
  6. R. L. Fante, Proc. IEEE, 62, 1400 (1974).
  7. S. K. Friedlander, Smoke, Dust and Haze. Fundamentals of Aerosol Behavior (Wiley, New York, 1977) Ch. 5.
  8. E. A. Bucher, Appl. Opt. 12, 2391 (1972).
  9. R. L. Fante, IEEE AP. 21, 750 (1973).
  10. H. S. Snyder and W. T. Scott, Phys. Rev. 76, 220 (1949).
  11. W. S. Scott, Rev. Mod. Phys. 35, 231 (1963).
  12. P. J. Davis and P. Rabinovitch, Numerical Integration (Blaisdel, Toronto, 1967), p. 141.

Arnush, D.

D. Arnush, J. Opt. Soc. Am. 62, 9 (1972).

Bucher, E. A.

E. A. Bucher, Appl. Opt. 12, 2391 (1972).

Davis, P. J.

P. J. Davis and P. Rabinovitch, Numerical Integration (Blaisdel, Toronto, 1967), p. 141.

Fante, R. L.

R. L. Fante, IEEE AP. 21, 750 (1973).

R. L. Fante, J. Opt. Soc. Am. 64, 592 (1974).

R. L. Fante, Proc. IEEE, 62, 1400 (1974).

Friedlander, S. K.

S. K. Friedlander, Smoke, Dust and Haze. Fundamentals of Aerosol Behavior (Wiley, New York, 1977) Ch. 5.

Hemenger, R. P.

R. P. Hemenger, J. Opt. Soc. Am. 64, 503 (1974).

Rabinovitch, P.

P. J. Davis and P. Rabinovitch, Numerical Integration (Blaisdel, Toronto, 1967), p. 141.

Scott, W. S.

W. S. Scott, Rev. Mod. Phys. 35, 231 (1963).

Scott, W. T.

H. S. Snyder and W. T. Scott, Phys. Rev. 76, 220 (1949).

Snyder, H. S.

H. S. Snyder and W. T. Scott, Phys. Rev. 76, 220 (1949).

Stotts, L. B.

L. B. Stotts, J. Opt. Soc. Am. 67, 815 (1977).

Weinman, J. A.

J. A. Weinman, J. Atmos. Sci. 33,1763 (1976).

Other (12)

R. P. Hemenger, J. Opt. Soc. Am. 64, 503 (1974).

D. Arnush, J. Opt. Soc. Am. 62, 9 (1972).

J. A. Weinman, J. Atmos. Sci. 33,1763 (1976).

L. B. Stotts, J. Opt. Soc. Am. 67, 815 (1977).

R. L. Fante, J. Opt. Soc. Am. 64, 592 (1974).

R. L. Fante, Proc. IEEE, 62, 1400 (1974).

S. K. Friedlander, Smoke, Dust and Haze. Fundamentals of Aerosol Behavior (Wiley, New York, 1977) Ch. 5.

E. A. Bucher, Appl. Opt. 12, 2391 (1972).

R. L. Fante, IEEE AP. 21, 750 (1973).

H. S. Snyder and W. T. Scott, Phys. Rev. 76, 220 (1949).

W. S. Scott, Rev. Mod. Phys. 35, 231 (1963).

P. J. Davis and P. Rabinovitch, Numerical Integration (Blaisdel, Toronto, 1967), p. 141.

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