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以delta-P1近似光学模型为基础, 推导了双点源近似下空间分辨漫反射一阶散射参量μs'灵敏度的解析式, 并进行了数值分析和比较. 研究表明, 与混合漫射近似模型和漫射近似模型相比, delta-P1 近似模型能更好地描述强散射较强吸收情况下近光源区域生物组织漫反射光子的分布, 且在有效反照率a'>0.83时, 获得最佳优化距离ρopt, ρopt 随μs' 的增大而减小, 且在距光源约2.7—4个输运平均自由程处μs'的变化对测量吸收的影响最小. 这项研究对于优化传感器几何结构以及生物组织光学参量的测量具有重要意义.
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关键词:
- 组织光学 /
- 漫反射 /
- delta-P1近似 /
- 灵敏度
For spatial-resolved diffuse reflectance, the sensitivity expression to the reduced scattering parameter μs' is derived and numerically analyzed in the two-point-source delta-P1 approximation of transport theory, and the influences of the scattering parameter μs' on the delta-P1 approximation reflectance, hybrid diffuse approximation reflectance, and diffusion approximation reflectance are also compared. The results show that the optical properties of biological tissue can be better described by the delta-P1 approxiamate model in relatively high scattering and absorbing medium for a short souce-detector separation; the optimum probe spacing ρopt is obtained and approximately equal to 2.7-4 transport mean free path for the reduced albedo a'>0.83, at which a variable reduced scattering coefficient has the smallest effect on the measurement of optical absorption in the turbid medium and ρopt reduces with the scattering parameter μs' increasing. The study is of great significance for optimizing the probe geometry and measuring the optical parameters of biological tissues.-
Keywords:
- tissue optics /
- diffuse reflectance /
- delta-P1 approximation /
- sensitivity
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[7] Tian H J, Liu Y, Wang L J, Zhang Z B, Xiao L F 2009 Acta Phys. Sin. 58 249 (in Chinese) [田会娟, 刘迎, 王利军, 张智卜, 肖立峰 2009 物理学报 58 249]
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[9] Hull E L, Foster T H 2001 J. Opt. Soc. Am. A 18 584
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[11] Qi B B, Liu Y, Jia G Y, Liu X J 2011 Acta Phys. Sin. 60 128701 (in Chinese) [齐贝贝, 刘迎, 贾光一, 刘小君 2011 物理学报 60 128701]
[12] Wang R W, Wang Y S 2012 Acta Phys. Sin. 61 184202 (in Chinese) [王锐, 王玉山 2012 物理学报 61 184202]
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[15] Groenhuis R A J, Ferwerda H A, Bosch J J T 1983 Theory Appl. Opt. 22 2456
[16] Wang R 2009 M.S. Dissertation (Tianjin: Tianjin University) (in Chinese) [王锐 2009 硕士学位论文 (天津: 天津大学)]
[17] Wang L H, Jacques S L, Zheng L Q 1995 Computer Methods and Programs in Biomedicine 47 131
[18] Tian H J, Liu Y, Wang L J, Zhang Y H, Xiao L F 2009 Chin. Opt. Lett. 7 515 (in Chinese) [田会娟, 刘迎, 王利军, 张宇辉, 肖立峰 2009 中国光学快报 7 515]
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[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] Tuchin V V 2007 Tissue Optics: Light Scattering Methods and Instruments for Medical Diagnosis (Bellingham: SPIE Press)
[3] Wang F, Ding H S, Lin F 2000 Spectroscopy and Spectral Analysis 20 585 (in Chinese) [王峰, 丁海曙, 林方 2000 光谱学与光谱分析 20 585]
[4] Kumar G, Schmitt J M 1997 Appl. Opt. 36 2286
[5] Liu H-L 2001 Appl. Opt. 40 1742
[6] Huang Z Q, Ding E J 1987 Transfers Theory (Beijing: Science Press) (in Chinese) [黄祖洽, 丁鄂江 1987 输运理论 (北京: 科学出版社)]
[7] Tian H J, Liu Y, Wang L J, Zhang Z B, Xiao L F 2009 Acta Phys. Sin. 58 249 (in Chinese) [田会娟, 刘迎, 王利军, 张智卜, 肖立峰 2009 物理学报 58 249]
[8] Tian H J 2009 Ph. D. Dissertation (Tianjin: Tianjin University) (in Chinese) [田会娟 2009 博士学位论文 (天津: 天津大学)]
[9] Hull E L, Foster T H 2001 J. Opt. Soc. Am. A 18 584
[10] Zhang X J, Yang W, Liu Y 2011 Acta Photon. Sin. 40 67 (in Chinese) [张小娟, 杨薇, 刘迎 2011 光子学报 40 67]
[11] Qi B B, Liu Y, Jia G Y, Liu X J 2011 Acta Phys. Sin. 60 128701 (in Chinese) [齐贝贝, 刘迎, 贾光一, 刘小君 2011 物理学报 60 128701]
[12] Wang R W, Wang Y S 2012 Acta Phys. Sin. 61 184202 (in Chinese) [王锐, 王玉山 2012 物理学报 61 184202]
[13] Haskell R C, Svaasand L O, Tsay T T, Feng T C, McAdams M S, Tromberg B J 1994 J. Opt. Soc. Am. A 11 2727
[14] Tualle J M, Prat J, Tinet E, Avrillier S 2000 J. Opt. Soc. Am. A 17 2046
[15] Groenhuis R A J, Ferwerda H A, Bosch J J T 1983 Theory Appl. Opt. 22 2456
[16] Wang R 2009 M.S. Dissertation (Tianjin: Tianjin University) (in Chinese) [王锐 2009 硕士学位论文 (天津: 天津大学)]
[17] Wang L H, Jacques S L, Zheng L Q 1995 Computer Methods and Programs in Biomedicine 47 131
[18] Tian H J, Liu Y, Wang L J, Zhang Y H, Xiao L F 2009 Chin. Opt. Lett. 7 515 (in Chinese) [田会娟, 刘迎, 王利军, 张宇辉, 肖立峰 2009 中国光学快报 7 515]
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