Abstract

Scattering by randomly shaped particles is investigated for a better understanding of the optical properties of biological tissue and cell suspensions. After proposing the generation functions for the randomly shaped particles, the T-matrix method and appropriate effective size distribution are applied. The derived phase functions show good agreement with the experimental results. Implications for microscopic tissue diagnosis are discussed.

© 2008 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. K. Wang, J. Mod. Opt. 47, 103 (2000).
  2. M. I. Moscoso, J. B. Keller, and G. Papanicolaou, J. Opt. Soc. Am. A 18, 948 (2001).
    [CrossRef]
  3. M. Xu and R. R. Alfano, Opt. Lett. 22, 3051 (2005).
    [CrossRef]
  4. M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption and Emission of Light by Small Particles (Cambridge U. Press, 2002).
  5. M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and Th. Wriedt, J. Quant. Spectrosc. Radiat. Transf. 88, 357 (2004).
  6. M. I. Mishchenko, Rev. Geophys. 46, RG2003 (2008).
    [CrossRef]
  7. H. C. Van de Hulst, Multiple Light Scattering (Academic, 1980), p. 739.
  8. M. I. Mishchenko, L. D. Travis, R. A. Kahn, and R. A. West, J. Geophys. Res. 102, 16831 (1997).
    [CrossRef]
  9. L. Tsang, J. A. Kong, and R. T. Shin, Theory of Microwave Remote Sensing (Wiley, 1985).
  10. J. M. Schmitt and G. Kumar, Appl. Opt. 37, 2788 (1998).
    [CrossRef]
  11. C. J. R. Sheppard, Opt. Lett. 32, 142 (2007).
    [CrossRef]

2008 (1)

M. I. Mishchenko, Rev. Geophys. 46, RG2003 (2008).
[CrossRef]

2007 (1)

2005 (1)

M. Xu and R. R. Alfano, Opt. Lett. 22, 3051 (2005).
[CrossRef]

2004 (1)

M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and Th. Wriedt, J. Quant. Spectrosc. Radiat. Transf. 88, 357 (2004).

2001 (1)

2000 (1)

R. K. Wang, J. Mod. Opt. 47, 103 (2000).

1998 (1)

1997 (1)

M. I. Mishchenko, L. D. Travis, R. A. Kahn, and R. A. West, J. Geophys. Res. 102, 16831 (1997).
[CrossRef]

Alfano, R. R.

M. Xu and R. R. Alfano, Opt. Lett. 22, 3051 (2005).
[CrossRef]

Babenko, V. A.

M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and Th. Wriedt, J. Quant. Spectrosc. Radiat. Transf. 88, 357 (2004).

Kahn, R. A.

M. I. Mishchenko, L. D. Travis, R. A. Kahn, and R. A. West, J. Geophys. Res. 102, 16831 (1997).
[CrossRef]

Keller, J. B.

Khlebtsov, N. G.

M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and Th. Wriedt, J. Quant. Spectrosc. Radiat. Transf. 88, 357 (2004).

Kong, J. A.

L. Tsang, J. A. Kong, and R. T. Shin, Theory of Microwave Remote Sensing (Wiley, 1985).

Kumar, G.

Lacis, A. A.

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption and Emission of Light by Small Particles (Cambridge U. Press, 2002).

Mishchenko, M. I.

M. I. Mishchenko, Rev. Geophys. 46, RG2003 (2008).
[CrossRef]

M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and Th. Wriedt, J. Quant. Spectrosc. Radiat. Transf. 88, 357 (2004).

M. I. Mishchenko, L. D. Travis, R. A. Kahn, and R. A. West, J. Geophys. Res. 102, 16831 (1997).
[CrossRef]

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption and Emission of Light by Small Particles (Cambridge U. Press, 2002).

Moscoso, M. I.

Papanicolaou, G.

Schmitt, J. M.

Sheppard, C. J. R.

Shin, R. T.

L. Tsang, J. A. Kong, and R. T. Shin, Theory of Microwave Remote Sensing (Wiley, 1985).

Travis, L. D.

M. I. Mishchenko, L. D. Travis, R. A. Kahn, and R. A. West, J. Geophys. Res. 102, 16831 (1997).
[CrossRef]

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption and Emission of Light by Small Particles (Cambridge U. Press, 2002).

Tsang, L.

L. Tsang, J. A. Kong, and R. T. Shin, Theory of Microwave Remote Sensing (Wiley, 1985).

Van de Hulst, H. C.

H. C. Van de Hulst, Multiple Light Scattering (Academic, 1980), p. 739.

Videen, G.

M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and Th. Wriedt, J. Quant. Spectrosc. Radiat. Transf. 88, 357 (2004).

Wang, R. K.

R. K. Wang, J. Mod. Opt. 47, 103 (2000).

West, R. A.

M. I. Mishchenko, L. D. Travis, R. A. Kahn, and R. A. West, J. Geophys. Res. 102, 16831 (1997).
[CrossRef]

Wriedt, Th.

M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and Th. Wriedt, J. Quant. Spectrosc. Radiat. Transf. 88, 357 (2004).

Xu, M.

M. Xu and R. R. Alfano, Opt. Lett. 22, 3051 (2005).
[CrossRef]

Appl. Opt. (1)

J. Geophys. Res. (1)

M. I. Mishchenko, L. D. Travis, R. A. Kahn, and R. A. West, J. Geophys. Res. 102, 16831 (1997).
[CrossRef]

J. Mod. Opt. (1)

R. K. Wang, J. Mod. Opt. 47, 103 (2000).

J. Opt. Soc. Am. A (1)

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

M. I. Mishchenko, G. Videen, V. A. Babenko, N. G. Khlebtsov, and Th. Wriedt, J. Quant. Spectrosc. Radiat. Transf. 88, 357 (2004).

Opt. Lett. (2)

M. Xu and R. R. Alfano, Opt. Lett. 22, 3051 (2005).
[CrossRef]

C. J. R. Sheppard, Opt. Lett. 32, 142 (2007).
[CrossRef]

Rev. Geophys. (1)

M. I. Mishchenko, Rev. Geophys. 46, RG2003 (2008).
[CrossRef]

Other (3)

H. C. Van de Hulst, Multiple Light Scattering (Academic, 1980), p. 739.

L. Tsang, J. A. Kong, and R. T. Shin, Theory of Microwave Remote Sensing (Wiley, 1985).

M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption and Emission of Light by Small Particles (Cambridge U. Press, 2002).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

3D structure of the random nonspherical particles with respect to the mean value r ¯ = 1 , roughness parameter σ 1 = 0.2 , and Z = 1 . (a) K = 2 , σ 2 = 0.38 , CP = 0.5 ; (b) K = 2 , σ 2 = 0.7 , CP = 0.5 ; (c) K = 2 , σ 2 = 0.38 , CP = 0 ; (d) K = 3 , σ 2 = 0.4 , CP = 0.5 .

Fig. 2
Fig. 2

Phase -ontrast images of mouse muscle tissue acquired at two different magnifications.

Fig. 3
Fig. 3

Phase functions for randomly oriented rough cylinders with different D L ratios of 1 2 , 1, and 2, and a surface-equivalent sphere with an effective size parameter of S eff = 25.9 .

Fig. 4
Fig. 4

Phase functions for randomly oriented rough cylinders with uniformly distributed D L , the cluster of surface-equivalent spheres with an effective size parameter of S eff = 25.9 , and the experimental results.

Equations (8)

Equations on this page are rendered with MathJax. Learn more.

r i j = x i j γ i j W i j , i = 1 , 2 , , M , j = 1 , 2 , , N ,
γ = 2 b a ( K 1 ) 2 ( z ( β ) K 2 ) exp ( K ( z ( β ) ) 2 2 σ 2 2 ) ,
W = { 1 z ( β 1 ) < z ( β ) < z ( β N ) 0 otherwise } .
1 2 0 π P ( θ ) sin θ d θ = 1 ,
P ( θ ) = i = 0 i max α i P i ( cos θ ) ,
f ( r ) = { c 1 for r r min c 1 r 3 D f for r min r r max } ,
r eff = 1 S r min r max π r 3 f ( r ) d r ,
v eff = 1 S r eff 2 r min r max π r 2 ( r r eff ) 2 f ( r ) d r ,

Metrics