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A modified delta-P1 approximation is studied in this paper. An analytic solution Rδ-P1(ρ) of this model for reflectance in double source approximation is developed by taking the source series expansion terms to the first order. It is shown that when the source in extended to first order, a better description for high absorption and high scattering media will be developed. The new model can give satisfactory results in describing irradiance distribution close to source compared with the RSDA(ρ) of diffusion approximation. Moreover, Rδ-P1(ρ) provides the prediction of the second-order parameter γ, which is significant for developing the inversion algorithm to recover optical parameters from spatially-resolved diffuse reflectance by using smaller source-detector separations.
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Keywords:
- tissue optics /
- δ-P1 approximation /
- effective source /
- diffuse reflectance close to source
[1] Kim A D 2004 J. Opt. Soc. Am. A 21 820
[2] Wang Q H, Zhang Y Y, Lai J C, Li Z H, He A Z 2007 Acta Phys. Sin. 56 1203(in Chinese) [王清华、张颖颖、来建成、张小娟、高宗慧、田会娟 2007 物理学报 56 1203]
[3] Liu Y, Wang L J, Guo Y F, Zhang X J, Gao Z H, Tian H J 2007 Acta Phys. Sin. 56 2119(in Chinese) [刘 迎、王利军、郭云峰、张小娟、高宗慧、田会娟 2007 物理学报 56 2119]
[4] Xu T, Zhang C P, Chen G Y, Zhang X J, gao Z H, Tian H J 2005 Chin. Phys. 14 1813
[5] Xu L Q, Li H, Xie S S 2008 Acta Phys. Sin. 57 6024(in Chinese) [徐兰青、李 晖、谢树森 2008 物理学报 57 6024]
[6] Ripoll J, Yessayan D, Zacharakis G, Ntziachristos V 2005 J. Opt. Soc. Am. A 22 546
[7] Hull E L, Foster T H 2001 J. Opt. Soc. Am. A 18 584
[8] 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] 〖9] Wang R, Liu Y 2010 Chinese J. Lasers. 37 1147(in Chinese) [王 锐、刘 迎 2010 中国激光 37 1147]
[9] Bevilacqua F, Depeursinge C 1999 J. Opt. Soc. Am. A 16 2935
[10] Kienle A, Forster F K, Hibst R 2001 Opt. Lett. 26 1571
[11] InSeok Seo, Carole K. Hayakawa, Vasan Venugopalan 2008 Med. Phys. 35 681
[12] Zhang Z X 2008 New Technology and Appliccations 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) ]
[13] Groenhuis R A J, Ferwerda H A, Bosch J J T 1983 I: Theory Appl Opt. 22 2456
[14] Wang L H, Jacques S L, Zheng L Q 1995 Computer Methods and Programs in Biomedicine 47 131
[15] Kienle A, Patterson M S 1997 J. Opt. Soc. Am. A 14 246
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[1] Kim A D 2004 J. Opt. Soc. Am. A 21 820
[2] Wang Q H, Zhang Y Y, Lai J C, Li Z H, He A Z 2007 Acta Phys. Sin. 56 1203(in Chinese) [王清华、张颖颖、来建成、张小娟、高宗慧、田会娟 2007 物理学报 56 1203]
[3] Liu Y, Wang L J, Guo Y F, Zhang X J, Gao Z H, Tian H J 2007 Acta Phys. Sin. 56 2119(in Chinese) [刘 迎、王利军、郭云峰、张小娟、高宗慧、田会娟 2007 物理学报 56 2119]
[4] Xu T, Zhang C P, Chen G Y, Zhang X J, gao Z H, Tian H J 2005 Chin. Phys. 14 1813
[5] Xu L Q, Li H, Xie S S 2008 Acta Phys. Sin. 57 6024(in Chinese) [徐兰青、李 晖、谢树森 2008 物理学报 57 6024]
[6] Ripoll J, Yessayan D, Zacharakis G, Ntziachristos V 2005 J. Opt. Soc. Am. A 22 546
[7] Hull E L, Foster T H 2001 J. Opt. Soc. Am. A 18 584
[8] 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] 〖9] Wang R, Liu Y 2010 Chinese J. Lasers. 37 1147(in Chinese) [王 锐、刘 迎 2010 中国激光 37 1147]
[9] Bevilacqua F, Depeursinge C 1999 J. Opt. Soc. Am. A 16 2935
[10] Kienle A, Forster F K, Hibst R 2001 Opt. Lett. 26 1571
[11] InSeok Seo, Carole K. Hayakawa, Vasan Venugopalan 2008 Med. Phys. 35 681
[12] Zhang Z X 2008 New Technology and Appliccations 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) ]
[13] Groenhuis R A J, Ferwerda H A, Bosch J J T 1983 I: Theory Appl Opt. 22 2456
[14] Wang L H, Jacques S L, Zheng L Q 1995 Computer Methods and Programs in Biomedicine 47 131
[15] Kienle A, Patterson M S 1997 J. Opt. Soc. Am. A 14 246
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