The well-established model for the spatial correlation function of the refractive index fluctuations in a statistically stationary biological tissue [Sheppard CJR. Fractal model of light scattering in biological tissue and cells. Opt Lett. 2007;32:142–144] is applied to the direct scattering problem of light within the validity regimes of the first-order Born approximation and the quasi-homogeneous approximation. It is analytically found how the far-zone angular distribution of the scattered spectral density is related to the parameters of the bio-tissues refractive index correlation function. Then the inverse problem of reconstructing the parameters of the bio-tissues correlation function from several measurements of the scattered spectral density is solved analytically. These results are of importance for medical diagnostics in soft tissues.

统计学上稳定的生物组织中折射率波动的空间相关函数的完善模型[Sheppard CJR。生物组织和细胞中光散射的分形模型。Opt Lett。2007; 32：142–144]应用于一阶Born逼近和准齐次逼近的有效范围内的光的直接散射问题。分析地发现，散射光谱密度的远区角分布与生物组织折射率相关函数的参数如何相关。然后解析地解决了从散射光谱密度的多次测量中重建生物组织相关函数参数的反问题。这些结果对于软组织的医学诊断非常重要。