Abstract

We present both experimental and Monte Carlo–based simulation results for the diffusely backscattered intensity patterns that arise from illumination of a turbid medium with a polarized laser beam. A numerical method that allows the calculation of all 16 elements of the two-dimensional Muller matrix is used; moreover, it is shown that only seven matrix elements are independent. To validate our method, we compared our simulations with experimental measurements, using a turbid medium consisting of 2.02-µm -diameter polystyrene spheres suspended in deionized water. By varying the incident polarization and the analyzer optics for the experimental measurements, we obtained the diffuse backscattering Mueller matrix elements. The experimental and the numerical results are in good agreement.

© 1998 America

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  1. A. H. Hielscher, J. R. Mourant, and I. J. Bigio, Appl. Opt. 36, 125 (1997).
  2. A. I. Carswell and S. R. Pal, Appl. Opt. 19, 4123 (1980).
  3. S. R. Pal A. I. Carswell, Appl. Opt. 24, 3464 (1985).
  4. S. L. Jacques, M. Ostemeyer, L. Wang, and D. Stephens, Proc. SPIE 2671, 199 (1996).
  5. S. G. Demos and R. R. Alfano, Appl. Opt. 36, 150 (1997).
  6. A. H. Hielscher, A. A. Eick, J. R. Mourant, and I. J. Bigio, Proc. SPIE 2976, 298 (1997).
  7. M. Dogariu and T. Asakura, Opt. Eng. 35, 2234 (1996).
  8. W. S. Bickel and W. M. Bailey, Am. J. Phys. 53, 468 (1985).
  9. A. Ambirajan and D. C. Look, J. Quant. Spectrosc. Radiat. Transfer 58, 171 (1997).
  10. R. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1977), p. 150.
  11. H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1957).
  12. G. W. Kattawar and C. N. Adams, Limnol. Oceanogr. 48, 1453 (1989).

1997

1996

S. L. Jacques, M. Ostemeyer, L. Wang, and D. Stephens, Proc. SPIE 2671, 199 (1996).

M. Dogariu and T. Asakura, Opt. Eng. 35, 2234 (1996).

1985

W. S. Bickel and W. M. Bailey, Am. J. Phys. 53, 468 (1985).

S. R. Pal A. I. Carswell, Appl. Opt. 24, 3464 (1985).

1980

1977

R. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1977), p. 150.

1957

H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1957).

Adams, C. N.

G. W. Kattawar and C. N. Adams, Limnol. Oceanogr. 48, 1453 (1989).

Alfano, R. R.

Ambirajan, A.

A. Ambirajan and D. C. Look, J. Quant. Spectrosc. Radiat. Transfer 58, 171 (1997).

Asakura, T.

M. Dogariu and T. Asakura, Opt. Eng. 35, 2234 (1996).

Azzam, R.

R. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1977), p. 150.

Bailey, W. M.

W. S. Bickel and W. M. Bailey, Am. J. Phys. 53, 468 (1985).

Bashara, N. M.

R. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1977), p. 150.

Bickel, W. S.

W. S. Bickel and W. M. Bailey, Am. J. Phys. 53, 468 (1985).

Bigio, I. J.

A. H. Hielscher, A. A. Eick, J. R. Mourant, and I. J. Bigio, Proc. SPIE 2976, 298 (1997).

A. H. Hielscher, J. R. Mourant, and I. J. Bigio, Appl. Opt. 36, 125 (1997).

Carswell, A. I.

Demos, S. G.

Dogariu, M.

M. Dogariu and T. Asakura, Opt. Eng. 35, 2234 (1996).

Eick, A. A.

A. H. Hielscher, A. A. Eick, J. R. Mourant, and I. J. Bigio, Proc. SPIE 2976, 298 (1997).

Hielscher, A. H.

A. H. Hielscher, A. A. Eick, J. R. Mourant, and I. J. Bigio, Proc. SPIE 2976, 298 (1997).

A. H. Hielscher, J. R. Mourant, and I. J. Bigio, Appl. Opt. 36, 125 (1997).

Jacques, S. L.

S. L. Jacques, M. Ostemeyer, L. Wang, and D. Stephens, Proc. SPIE 2671, 199 (1996).

Kattawar, G. W.

G. W. Kattawar and C. N. Adams, Limnol. Oceanogr. 48, 1453 (1989).

Look, D. C.

A. Ambirajan and D. C. Look, J. Quant. Spectrosc. Radiat. Transfer 58, 171 (1997).

Mourant, J. R.

A. H. Hielscher, J. R. Mourant, and I. J. Bigio, Appl. Opt. 36, 125 (1997).

A. H. Hielscher, A. A. Eick, J. R. Mourant, and I. J. Bigio, Proc. SPIE 2976, 298 (1997).

Ostemeyer, M.

S. L. Jacques, M. Ostemeyer, L. Wang, and D. Stephens, Proc. SPIE 2671, 199 (1996).

Pal, S. R.

Stephens, D.

S. L. Jacques, M. Ostemeyer, L. Wang, and D. Stephens, Proc. SPIE 2671, 199 (1996).

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1957).

Wang, L.

S. L. Jacques, M. Ostemeyer, L. Wang, and D. Stephens, Proc. SPIE 2671, 199 (1996).

Am. J. Phys.

W. S. Bickel and W. M. Bailey, Am. J. Phys. 53, 468 (1985).

Appl. Opt.

J. Quant. Spectrosc. Radiat. Transfer

A. Ambirajan and D. C. Look, J. Quant. Spectrosc. Radiat. Transfer 58, 171 (1997).

Limnol. Oceanogr.

G. W. Kattawar and C. N. Adams, Limnol. Oceanogr. 48, 1453 (1989).

Opt. Eng.

M. Dogariu and T. Asakura, Opt. Eng. 35, 2234 (1996).

Proc. SPIE

A. H. Hielscher, A. A. Eick, J. R. Mourant, and I. J. Bigio, Proc. SPIE 2976, 298 (1997).

S. L. Jacques, M. Ostemeyer, L. Wang, and D. Stephens, Proc. SPIE 2671, 199 (1996).

Other

R. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1977), p. 150.

H. C. van de Hulst, Light Scattering by Small Particles (Dover, New York, 1957).

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