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μ′s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μ′s的增大而减小,且在距光源约2.7—4个输运平均自由程处μ′s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.
For spatial-resolved diffuse reflectance, the sensitivity expression to the reduced scattering parameter μ′s is derived and numerically analyzed in the two-point-source delta-P1 approximation of transport theory, and the influences of the scattering parameter μ′s 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 spacingρopt 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 andρopt reduces with the scattering parameter μ′s increasing. The study is of great significance for optimizing the probe geometry and measuring the optical parameters of biological tissues.