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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 21, Iss. 5 — May. 1, 2004
  • pp: 797–803

Beam propagation in sharply peaked forward scattering media

Arnold D. Kim and Miguel Moscoso  »View Author Affiliations


JOSA A, Vol. 21, Issue 5, pp. 797-803 (2004)
http://dx.doi.org/10.1364/JOSAA.21.000797


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Abstract

We calculate the radiance of a light beam propagating in a uniformly scattering and absorbing slab and determine the point-spread function. We do this by solving numerically the governing radiative transport equation by use of plane-wave mode expansions. When scattering is sharply peaked in the forward direction and it becomes difficult to solve the radiative transport equation, we replace it with either the Fokker–Planck or the Leakeas–Larsen equation. We also solve these equations by using plane-wave mode expansions. Numerical results show that these two equations agree with the radiative transport equation for large anisotropy factors. The agreement improves as the optical thickness increases.

© 2004 Optical Society of America

OCIS Codes
(010.3310) Atmospheric and oceanic optics : Laser beam transmission
(030.5620) Coherence and statistical optics : Radiative transfer
(290.4210) Scattering : Multiple scattering

Citation
Arnold D. Kim and Miguel Moscoso, "Beam propagation in sharply peaked forward scattering media," J. Opt. Soc. Am. A 21, 797-803 (2004)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-5-797


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References

  1. S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).
  2. A. Ishimaru, Wave Propagation and Scattering in Random Media (Institute of Electrical and Electronics Engineers, New York, 1996).
  3. M. Moscoso, J. B. Keller, and G. Papanicolaou, “Depolarization and blurring of optical images by biological tissue,” J. Opt. Soc. Am. A 18, 948–960 (2001).
  4. A. D. Kim and M. Moscoso, “Radiative transfer computations for optical beams,” J. Comput. Phys. 185, 50–60 (2003).
  5. E. P. Zege, A. P. Ivanov, and I. L. Katsev, Image Transfer through a Scattering Medium (Springer-Verlag, Berlin, 1991).
  6. G. C. Pomraning, “The Fokker–Planck operator as an asymptotic limit,” Math. Models Meth. Appl. Sci. 2, 21–36 (1992).
  7. E. W. Larsen, “The linear Boltzmann equation in optically thick systems with forward-peaked scattering,” Prog. Nucl. Energy 34, 413–423 (1999).
  8. C. L. Leakeas and E. W. Larsen, “Generalized Fokker–Planck approximations of particle transport with highly forward-peaked scattering,” Nucl. Sci. Eng. 137, 236–250 (2001).
  9. A. D. Kim and J. B. Keller, “Light propagation in biological tissue,” J. Opt. Soc. Am. A 20, 92–98 (2003).
  10. A. D. Kim and M. Moscoso, “Chebyshev spectral methods for radiative transfer,” SIAM (Soc. Ind. Appl. Math.) J. Sci. Comput. (USA) 23, 2075–2095 (2002).
  11. A. Hamilton, “Uncorrelated modes of the nonlinear power spectrum,” Mon. Not. R. Astron. Soc. 312, 257–284 (2000), http://casa.colorado.edu/~ajsh/FFTLog/.
  12. A. E. Siegman, “Quasi-fast Hankel transform,” Opt. Lett. 1, 13–15 (1977).
  13. W.-F. Cheong, S. A. Prahl, and A. J. Welch, “A review of the optical properties of biological tissues,” IEEE J. Quantum Electron. 26, 2166–2185 (1990).
  14. J. E. Morel, “An improved Fokker–Planck angular differencing scheme,” Nucl. Sci. Eng. 89, 131–136 (1985).
  15. S. L. Jacques, C. A. Alter, and S. A. Prahl, “Angular dependence on HeNe laser light scattering by human dermis,” Lasers Life Sci. 1, 309–334 (1987).
  16. A. Dunn and R. Richards-Kortum, “Three-dimensional computation of light scattering from cells,” IEEE J. Sel. Top. Quantum Electron. 2, 898–905 (1996).
  17. J. R. Mourant, J. P. Freyer, A. H. Hielscher, A. A. Eick, D. Shen, and T. M. Johnson, “Mechanisms of light scattering from biological cells relevant to noninvasive optical–tissue diagnostics,” Appl. Opt. 37, 3586–3593 (1998).
  18. M. Hammer, D. Schweitzer, B. Michel, E. Thamm, and A. Kolb, “Single scattering by red blood cells,” Appl. Opt. 37, 7410–7418 (1998).

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