Abstract

A modified diffusion approximation model called the hybrid diffusion approximation that can be used for highly absorbing media is investigated. The analytic solution of the hybrid diffusion approximation for reflectance in two-source approximation and steady-state case with extrapolated boundary is obtained. The effects of source approximation on the analytic solution are investigated, and it is validated that two-source approximation in highly absorbing media to describe the optical properties of biological tissue is necessary. Monte Carlo simulation of recovering optical parameters from reflectant data is done with the use of this model. The errors of recovering \mu_{a} and \mu_{s} are smaller than 15% for the reduced albedo between 0.77 and 0.5 with the source-detector separation of 0.4-3 mm.

© 2009 Chinese Optics Letters

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S. Xie, H. Li, H. Niu, Y. Qin, J. He, and Q. Pan, Science in China Series G (in Chinese) 37, (suppl.) 1 (2007).

2006

H. Xu, T. J. Farrell, and M. S. Patterson, J. Biomed. Opt. 11, 041104 (2006).

H. Tian, Y. Liu, and L. Wang, Opt. Lett. 31, 933 (2006).

H. Tian, Y. Liu, L. Wang, X. Zhang, and Z. Gao, Chin. Opt. Lett. 4, 105 (2006).

Z. Gao, Y. Liu, Y. Guo, and H. Tian, Acta Opt. Sin. (in Chinese) 26, 1220 (2006).

2005

X. Zhang, Y. Liu, and Z. Gao, Chinese J. Lasers (in Chinese) 32, 571 (2005).

J. Ripoll, D. Yessayan, G. Zacharakis, and V. Ntziachristos, J. Opt. Soc. Am. A 22, 546 (2005).

2003

2001

2000

1999

1998

V. Venugopalan, J. S. You, and B. J. Tromberg, Phys. Rev. E 58, 2395 (1998).

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1995

L. Wang, S. L. Jacques, and L. Zheng, Computer Methods and Programs in Biomedicine 47, 131 (1995).

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T. J. Farrell, M. S. Patterson, and B. Wilson, Med. Phys. 19, 879 (1992).

Aronson, R.

Avrillier, S.

Carminati, R.

Corngold, N.

Elaloufi, R.

Farrell, T. J.

H. Xu, T. J. Farrell, and M. S. Patterson, J. Biomed. Opt. 11, 041104 (2006).

T. J. Farrell, M. S. Patterson, and B. Wilson, Med. Phys. 19, 879 (1992).

Foster, T. H.

Gao, Z.

Z. Gao, Y. Liu, Y. Guo, and H. Tian, Acta Opt. Sin. (in Chinese) 26, 1220 (2006).

H. Tian, Y. Liu, L. Wang, X. Zhang, and Z. Gao, Chin. Opt. Lett. 4, 105 (2006).

X. Zhang, Y. Liu, and Z. Gao, Chinese J. Lasers (in Chinese) 32, 571 (2005).

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Guo, Y.

Z. Gao, Y. Liu, Y. Guo, and H. Tian, Acta Opt. Sin. (in Chinese) 26, 1220 (2006).

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S. Xie, H. Li, H. Niu, Y. Qin, J. He, and Q. Pan, Science in China Series G (in Chinese) 37, (suppl.) 1 (2007).

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Jacques, S. L.

L. Wang, S. L. Jacques, and L. Zheng, Computer Methods and Programs in Biomedicine 47, 131 (1995).

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Li, H.

S. Xie, H. Li, H. Niu, Y. Qin, J. He, and Q. Pan, Science in China Series G (in Chinese) 37, (suppl.) 1 (2007).

Liu, Y.

H. Tian, Y. Liu, and L. Wang, Opt. Lett. 31, 933 (2006).

H. Tian, Y. Liu, L. Wang, X. Zhang, and Z. Gao, Chin. Opt. Lett. 4, 105 (2006).

Z. Gao, Y. Liu, Y. Guo, and H. Tian, Acta Opt. Sin. (in Chinese) 26, 1220 (2006).

X. Zhang, Y. Liu, and Z. Gao, Chinese J. Lasers (in Chinese) 32, 571 (2005).

Niu, H.

S. Xie, H. Li, H. Niu, Y. Qin, J. He, and Q. Pan, Science in China Series G (in Chinese) 37, (suppl.) 1 (2007).

Ntziachristos, V.

Pan, Q.

S. Xie, H. Li, H. Niu, Y. Qin, J. He, and Q. Pan, Science in China Series G (in Chinese) 37, (suppl.) 1 (2007).

Patterson, M. S.

H. Xu, T. J. Farrell, and M. S. Patterson, J. Biomed. Opt. 11, 041104 (2006).

A. Kienle and M. S. Patterson, J. Opt. Soc. Am. A 14, 246 (1997).

T. J. Farrell, M. S. Patterson, and B. Wilson, Med. Phys. 19, 879 (1992).

Prat, J.

Qin, Y.

S. Xie, H. Li, H. Niu, Y. Qin, J. He, and Q. Pan, Science in China Series G (in Chinese) 37, (suppl.) 1 (2007).

Ripoll, J.

Tian, H.

Tinet, E.

Tromberg, B. J.

V. Venugopalan, J. S. You, and B. J. Tromberg, Phys. Rev. E 58, 2395 (1998).

Tualle, J.-M.

Venugopalan, V.

V. Venugopalan, J. S. You, and B. J. Tromberg, Phys. Rev. E 58, 2395 (1998).

Wang, L.

H. Tian, Y. Liu, L. Wang, X. Zhang, and Z. Gao, Chin. Opt. Lett. 4, 105 (2006).

H. Tian, Y. Liu, and L. Wang, Opt. Lett. 31, 933 (2006).

L. Wang, S. L. Jacques, and L. Zheng, Computer Methods and Programs in Biomedicine 47, 131 (1995).

Wilson, B.

T. J. Farrell, M. S. Patterson, and B. Wilson, Med. Phys. 19, 879 (1992).

Xie, S.

S. Xie, H. Li, H. Niu, Y. Qin, J. He, and Q. Pan, Science in China Series G (in Chinese) 37, (suppl.) 1 (2007).

Xu, H.

H. Xu, T. J. Farrell, and M. S. Patterson, J. Biomed. Opt. 11, 041104 (2006).

Yessayan, D.

You, J. S.

V. Venugopalan, J. S. You, and B. J. Tromberg, Phys. Rev. E 58, 2395 (1998).

Zacharakis, G.

Zhang, X.

H. Tian, Y. Liu, L. Wang, X. Zhang, and Z. Gao, Chin. Opt. Lett. 4, 105 (2006).

X. Zhang, Y. Liu, and Z. Gao, Chinese J. Lasers (in Chinese) 32, 571 (2005).

Zheng, L.

L. Wang, S. L. Jacques, and L. Zheng, Computer Methods and Programs in Biomedicine 47, 131 (1995).

Acta Opt. Sin. (in Chinese)

Z. Gao, Y. Liu, Y. Guo, and H. Tian, Acta Opt. Sin. (in Chinese) 26, 1220 (2006).

Chin. Opt. Lett.

Chinese J. Lasers (in Chinese)

X. Zhang, Y. Liu, and Z. Gao, Chinese J. Lasers (in Chinese) 32, 571 (2005).

Computer Methods and Programs in Biomedicine

L. Wang, S. L. Jacques, and L. Zheng, Computer Methods and Programs in Biomedicine 47, 131 (1995).

J. Biomed. Opt.

H. Xu, T. J. Farrell, and M. S. Patterson, J. Biomed. Opt. 11, 041104 (2006).

J. Opt. Soc. Am. A

Med. Phys.

T. J. Farrell, M. S. Patterson, and B. Wilson, Med. Phys. 19, 879 (1992).

Opt. Lett.

Phys. Rev. E

V. Venugopalan, J. S. You, and B. J. Tromberg, Phys. Rev. E 58, 2395 (1998).

Science in China Series G (in Chinese)

S. Xie, H. Li, H. Niu, Y. Qin, J. He, and Q. Pan, Science in China Series G (in Chinese) 37, (suppl.) 1 (2007).

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