光学学报, 2006, 26 (8): 1220, 网络出版: 2007-03-15   

基于P3近似的空间分辨漫反射研究

Study of Spatially Resolved Diffuse Reflection Based on P3Approximation
作者单位
天津大学理学院光电信息技术科学教育部重点实验室, 天津 300072
摘要
光源附近组织的空间分辨漫反射是近年来生物医学光子学领域的一个研究热点,其目的是发展一种能够测定活体生物组织光学参量的新技术。漫射近似理论研究光源附近组织的空间分辨漫反射具有很大局限性。P3近似理论考虑了相函数的三阶矩,能较准确地描述光源附近组织的光辐射分布。研究了基于P3近似的空间分辨漫反射,从输运理论的PN方程组出发,导出了P3近似方程组和P3近似的格林函数解;阐述了漫射近似与P1近似的关系,给出了外推边界条件下,准直光束近似后的P3近似漫反射率的完整表示,讨论了相函数二阶参量对P3近似漫反射的影响,并与漫射近似和蒙特卡罗模拟结果进行了比较,指出了P3近似的应用范围。
Abstract
Spatially resolved reflection close to light source has drawn great attention in the fied of medical optics and photonics recently. This research is considered to develop a new noninvasive technique of measuring the optical properties of intravital biological tissue. It is limited to study the spatially resolved diffuse reflection of tissue close to light source with diffusion approximation. The radiance distribution close to light source can be analyzed by P3 approximation theory considering the third-order moment of phase function. The spatially resolved diffuse reflection based on P3 approximation is studied. The equation set of the P3 approximation and its Green function approximate solution are derived from the PN equation set of the transport theory. The relationship between P1 approximation and the diffusion approximation is demonstrated, and a complete solution of P3 approximation with the extrapolated boundary conditions and collimated beam approximation is obtained. The effects of the second-order parameter on the P3 approximation diffuse reflection are studied, and the results are compared with them of diffusion approximation and Monte Carlo simulation. The application range of P3 approximation is presented.
参考文献

[1] . Patterson. Improved solutions of the steady-state and the time-resolved diffusion equations for reflectance from a semi-infinite turbid medium[J]. J. Opt. Soc. Am. A, 1997, 14(1): 246-254.

[2] Wang Jiangang, Wang Guiying, Xu Zhizhan. Monte-Carlo simulations for light propagation in striated scattering medium[J]. Acta Optica Sinica, 2000, 20(3): 346~350 (in Chinese)
王建岗,王桂英,徐至展. 光在分层散射介质中传输行为的蒙特卡罗模拟研究[J]. 光学学报, 2000, 20(3): 346~350

[3] . Monte Carlo study of diffuse reflectance at source-detector separations close to one transport mean free path[J]. J. Opt. Soc. Am. A, 1999, 16(12): 2935-2945.

[4] . Forster, Raimund Hibst. Influence of the phase function on determination of the optical properties of biological tissue by spatially resolved reflectance[J]. Opt. Lett., 2001, 26(20): 1571-1573.

[5] Zhang Zhi, Luo Qingming, Zeng Shaoqun et al.. A numerical method for photon migration in heterogeneous bio-tissue[J]. Acta Optica Sinica, 2003, 23(7): 860~863 (in Chinese)
张智,骆清铭,曾绍群 等. 非均匀生物组织中光子迁移的数值方法[J]. 光学学报, 2003, 23(7): 860~863

[6] Wang Xichang, Gong Yanjun, Song Dongcao et al.. The spatially resolved scattered reflection of three-layered matched media diffusion equation in the steady-state[J]. Acta Optica Sinica, 2005, 25(3): 377~381 (in Chinese)
王喜昌,宫彦军,宋东草 等. 平稳状态下匹配介质三层漫射方程的空间分辨漫反射[J]. 光学学报, 2005, 25(3): 377~381

[7] Zhang Xiaojuan, Liu Ying. The characteristic length of tissue and its application in spatial-resolved diffuse reflectance close to source[J]. J. Optoelectronics·Laser, 2005, 16(1): 124~128 (in Chinese)
张小娟,刘迎. 组织的特征长度微距空间分辨漫反射[J]. 光电子·激光, 2005, 16(1): 124~128

[8] . Hull, Thomas H. Foster. Steady-state reflectance spectroscopy in the approximation[J]. J. Opt. Soc. Am. A, 2001, 18(3): 584-599.

[9] Liu Ying, Zhang Xiaojuan, Hu Youzhou. Phase function of tissue and the properties of second-order optical parameter[J]. Acta Optica Sinica, 2004, 24(7): 877~880 (in Chinese)
刘迎,张小娟,胡佑周. 生物组织的散射相函数及其二阶光学参量的性质[J]. 光学学报, 2004, 24(7): 877~880

[10] Zhang Xiaojuan, Liu Ying, Gao Zonghui. Spatial-resolved diffuse reflectance of tissue close to source[J]. Chin. J. Lasers, 2005, 32(4): 571~575 (in Chinese)
张小娟,刘迎,高宗慧. 光源附近组织的空间分辨漫反射研究[J]. 中国激光, 2005, 32(4): 571~575

[11] . Haskell, Lars O. Svaasand, Tsong-Tseh Tsay et al.. Boundary conditions for the diffusion equation in radiative transfer[J]. J. Opt. Soc. Am. A, 1994, 11(10): 2727-2741.

[12] . . Real-space Green′s function calculation for the solution of the diffusion equation in stratified turbid media[J]. J. Opt. Soc. Am. A, 2000, 17(11): 2046-2055.

高宗慧, 刘迎, 郭云峰, 田会娟. 基于P3近似的空间分辨漫反射研究[J]. 光学学报, 2006, 26(8): 1220. 高宗慧, 刘迎, 郭云峰, 田会娟. Study of Spatially Resolved Diffuse Reflection Based on P3Approximation[J]. Acta Optica Sinica, 2006, 26(8): 1220.

本文已被 3 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!