Improved solutions of the steady-state and the time-resolved diffusion equations for reflectance from a semi-infinite turbid medium

Improved solutions of the steady-state and the time-resolved diffusion equations for reflectance from a semi-infinite turbid medium
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DOI:
10.1364/josaa.14.000246
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发表时间:
1997-01-01
影响因子:
1.9
通讯作者:
Patterson, MS
Patterson, MS
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Kienle, A;Patterson, MS

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研究了时间分辨和稳态空间分辨反射率扩散方程的改进解,用于确定半无限混浊介质(如组织)的光学系数。这些解决方案推导出不同的边界条件下的混浊介质空气界面,并与蒙特卡洛模拟进行了比较。相对反射率数据拟合在时域中,而相对和绝对反射率在稳态域中进行了研究。结果表明,在推导的光学系数的误差是,特别是对于稳态空间分辨反射率,研究中的解决方案比常用的解决方案要小得多。绝对稳态空间分辨反射率的实验测量分析证实了这些结果。(C)1997年,美国光学学会。
Improved solutions of the diffusion equation for time-resolved and steady-state spatially resolved reflectance are investigated for the determination of the optical coefficients of semi-infinite turbid media such as tissue. These solutions are derived for different boundary conditions at the turbid-medium-air interface and are compared with Monte Carlo simulations. Relative reflectance data are fitted in the time domain, whereas relative and absolute reflectance are investigated in the steady-state domain. It is shown that the error in deriving the optical coefficients is, especially for steady-state spatially resolved reflectance, considerably smaller for the solutions under study than for the commonly used solutions. Analysis of experimental measurements of absolute steady-state spatially resolved reflectance confirms these results. (C) 1997 Optical Society of America.