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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 73, Iss. 2 — Feb. 1, 1983
  • pp: 131–136

Scattering and diffusion of a beam wave in randomly distributed scatterers

Akira Ishimaru, Yasuo Kuga, Rudolf L.-T. Cheung, and Koichi Shimizu  »View Author Affiliations

JOSA, Vol. 73, Issue 2, pp. 131-136 (1983)

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Diffusion theory is applied to the transmission of an optical beam through randomly distributed particles, and the theoretical calculations are compared with experimental data for an optical beam at 0.6 µm propagating through latex scatterers of sizes 0.109 and 2.02 µm. It is shown that, for particles small compared with the wavelength, the diffusion theory gives good agreement with experimental data; whereas for particles large compared with the wavelength, the diffusion theory is applicable when the optical depth is greater than about 20. For shorter optical depth, experimental results are also compared with the first-order scattering theory.

© 1983 Optical Society of America

Akira Ishimaru, Yasuo Kuga, Rudolf L.-T. Cheung, and Koichi Shimizu, "Scattering and diffusion of a beam wave in randomly distributed scatterers," J. Opt. Soc. Am. 73, 131-136 (1983)

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  1. A. Ishimaru, "The beam wave case and remote sensing," in Laser Beam Propagation Through the Atmosphere, J. W. Strohbehn, ed. (Springer-Verlag, New York, 1978).
  2. A. Ishimaru, "Theory and application of wave propagation and scattering in random media," Proc. IEEE 65, 1030–1061 (1977).
  3. A. Ishimaru, Wave Propagation and Scattering in Random Media, Volume I: Single Scattering and Transport Theory; Volume I1: Multiple Scattering, Turbulence, Rough Surfaces and Remote Sensing (Academic, New York, 1978).
  4. S. T. Hong and A. Ishimaru, "Two-frequency mutual coherence function, coherence bandwidth and coherence time of millimeter and optical waves in rain, fog and turbulence," Radio Sci. 11, 551–559 (1976).
  5. C. Warde, "Atmospheric optical communication," Opt. Eng. 20, 62 (1981).
  6. A. Ishimaru, "Theory of optical propagation in the atmosphere," Opt. Eng. 20, 63–70 (1981).
  7. G. C. Mooradian, "Surface and subsurface optical communications in the marine environment," Opt. Eng. 20, 71–75 (1981).
  8. E. A. Bucher and R. M. Lerner, "Experiments on light pulse communication and propagation through atmospheric clouds," Appl. Opt. 12, 2401–2414 (1973).
  9. E. Collett, J. T. Foley, and E. Wolf, "On an investigation of Tatarskii into the relationship between coherence theory and the theory of radiative transfer," J. Opt. Soc. Am. 67, 465–467 (1977).
  10. H. C. van de Hulst, Multiple Light Scattering (Academic, New York, 1980), Vols. I and II.
  11. P. L. Chow, W. E. Kohler, and G. C. Papanicolaou, Multiple Scattering and Waves in Random Media (North-Holland, Amsterdam, 1981).
  12. S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).
  13. A. Ishimaru and R. L.-T. Cheung, "Multiple scattering effects on wave propagation due to rain," Ann. Telecommun. 35, 373–379 (1980).
  14. L. Reynolds, C. C. Johnson, and A. Ishimaru, "Diffuse reflectance from a finite blood medium," Appl. Opt. 15, 2059–2067 (1976).
  15. A. Ishimaru, "Diffusion of a pulse in densely distributed scatterers," J. Opt. Soc. Am. 68, 1045–1050 (1978).
  16. K. Furutsu, "Diffusion equation derived from space—time transport equation," J. Opt. Soc. Am. 70, 360–366 (1980).
  17. K. Shimizu, "Remote sensing of microparticles by laser scattering for medical applications," Ph.D. Thesis (University of Washington, Seattle, Wash., 1979).
  18. A. Ishimaru, "Theoretical and experimental study of transient phenomena in random media," in Multiple Scattering and Waves in Random Media (North-Holland, Amsterdam, 1981), pp. 155–163.
  19. A. Ishimaru and Y. Kuga, "Attenuation constant of coherent field in a dense distribution of particles," J. Opt. Soc. Am. 72, 1317–1320 (1982).
  20. Equation (7) can be expressed in other forms. For example, a reviewer noted that the surface integral can be converted into a volume integral.

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