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## 留言板

Use of the two-point-source -P1 approximation model for recovery of optical parameters in biological tissue

## Use of the two-point-source -P1 approximation model for recovery of optical parameters in biological tissue

Qi Bei-Bei, Liu Ying, Jia Guang-Yi, Liu Xiao-Jun
• #### Abstract

Based on a theoretical model for spatial diffusion reflection with two-point-source -P1 approximation to the radiative transport equation for a semi-infinite homogeneous turbid medium, the optical absorption coefficient a, reduced scattering coefficient ' s, and the second-order parameter of the medium are recovered from the measurement data of the reflectance by the nonlinear least squares method. The results show that the two-point-source -P1 approximation can give more satisfactory results for describing irradiance distribution close to source when the source-detector separation is larger than one transport mean free path. We can also obtain the anisotropy factor g according to the relationship between and ' s. This study is of great significance for the measurement of the optical properties of biological tissues and the application of diffuse reflectance spectroscopy technology.

• Funds:

#### References

 [1] Zhang Z X 2008 New Technology and Applications of Biomedical Photonics (Beijing: Science Press) (in Chinese) [张镇西 2008 生物医学光子学新技术及应用 (北京:科学出版社)] [2] [3] Tuchin V V 2007 Tissue Optics: Light Scattering Methods and Instruments for Medical Diagnosis (Bellingham: SPIE Press) [4] Wei H J, Xing D, Wu G Y 2004 Chin. J. Lasers 31 305 (in Chinese) [魏华江、邢 达、巫国勇 2004 中国激光 31 305] [5] [6] [7] Venugopalan V, You J S, Tromberg B J 1998 Phys. Rev. E 58 2395 [8] Joseph J H, Wiscombe W J, Weinman J A 1976 J. Atmos. Sci. 33 2452 [9] [10] [11] Hayakawa C K, Hill B Y, You J S 2004 Appl. Opt. 43 4577 [12] [13] You J S, Hayakawa C K, Venugopalan V 2005 Phys. Rev. E 72 021903 [14] Seo I, Hayakawa C K, Venugopalan V 2008 Med. Phys. 35 681 [15] [16] Chai C G, Chen Y Q, Li P C, Luo Q M 2007 Appl. Opt. 46 4843 [17] [18] [19] Chai C G, Chen Y Q, Zeng S Q, Luo Q M 2008 J. Mod. Opt. 55 1375 [20] Kim A D 2004 J. Opt. Soc. Am. A 21 820 [21] [22] [23] Tian H J, Liu Y, Wang L J, Zhang Z B, Xiao L F 2009 Acta Phys. Sin. 58 243 (in Chinese) [田会娟、刘 迎、王利军、张智卜、肖立峰 2009 物理学报 58 243] [24] [25] Wang R, Liu Y 2010 Chin. J. Lasers 37 1147 (in Chinese) [王 锐、刘 迎 2010 中国激光 37 1147] [26] [27] Groenhuis R A J, Ferwerda H A, Bosch J J T 1983 Appl. Opt. 22 2456 [28] Wang L H, Jacques S L, Zheng L Q 1995 Comput. Meth. Prog. Biol. 47 131 [29]

#### Cited By

•  [1] Zhang Z X 2008 New Technology and Applications of Biomedical Photonics (Beijing: Science Press) (in Chinese) [张镇西 2008 生物医学光子学新技术及应用 (北京:科学出版社)] [2] [3] Tuchin V V 2007 Tissue Optics: Light Scattering Methods and Instruments for Medical Diagnosis (Bellingham: SPIE Press) [4] Wei H J, Xing D, Wu G Y 2004 Chin. J. Lasers 31 305 (in Chinese) [魏华江、邢 达、巫国勇 2004 中国激光 31 305] [5] [6] [7] Venugopalan V, You J S, Tromberg B J 1998 Phys. Rev. E 58 2395 [8] Joseph J H, Wiscombe W J, Weinman J A 1976 J. Atmos. Sci. 33 2452 [9] [10] [11] Hayakawa C K, Hill B Y, You J S 2004 Appl. Opt. 43 4577 [12] [13] You J S, Hayakawa C K, Venugopalan V 2005 Phys. Rev. E 72 021903 [14] Seo I, Hayakawa C K, Venugopalan V 2008 Med. Phys. 35 681 [15] [16] Chai C G, Chen Y Q, Li P C, Luo Q M 2007 Appl. Opt. 46 4843 [17] [18] [19] Chai C G, Chen Y Q, Zeng S Q, Luo Q M 2008 J. Mod. Opt. 55 1375 [20] Kim A D 2004 J. Opt. Soc. Am. A 21 820 [21] [22] [23] Tian H J, Liu Y, Wang L J, Zhang Z B, Xiao L F 2009 Acta Phys. Sin. 58 243 (in Chinese) [田会娟、刘 迎、王利军、张智卜、肖立峰 2009 物理学报 58 243] [24] [25] Wang R, Liu Y 2010 Chin. J. Lasers 37 1147 (in Chinese) [王 锐、刘 迎 2010 中国激光 37 1147] [26] [27] Groenhuis R A J, Ferwerda H A, Bosch J J T 1983 Appl. Opt. 22 2456 [28] Wang L H, Jacques S L, Zheng L Q 1995 Comput. Meth. Prog. Biol. 47 131 [29]
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•  Citation:
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• Abstract views:  1897
• Cited By: 0
##### Publishing process
• Received Date:  02 March 2011
• Accepted Date:  26 July 2011
• Published Online:  15 December 2011

## Use of the two-point-source -P1 approximation model for recovery of optical parameters in biological tissue

• 1. College of Science, Tianjin University, Tianjin 300072, China;
• 2. Key Laboratory of Opto-electronic Information Science and Technology of Ministry of Education, College of Precision Instrument and Opto-electronics Engineering, Tianjin University, Tianjin 300072, China

Abstract: Based on a theoretical model for spatial diffusion reflection with two-point-source -P1 approximation to the radiative transport equation for a semi-infinite homogeneous turbid medium, the optical absorption coefficient a, reduced scattering coefficient ' s, and the second-order parameter of the medium are recovered from the measurement data of the reflectance by the nonlinear least squares method. The results show that the two-point-source -P1 approximation can give more satisfactory results for describing irradiance distribution close to source when the source-detector separation is larger than one transport mean free path. We can also obtain the anisotropy factor g according to the relationship between and ' s. This study is of great significance for the measurement of the optical properties of biological tissues and the application of diffuse reflectance spectroscopy technology.

Reference (29)

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