Piao Daqing, Zhang Anqi, Xu Guan
School of Electrical and Computer Engineering, Oklahoma State University, Stillwater, Oklahoma 74078, USA.
J Opt Soc Am A Opt Image Sci Vis. 2013 Apr 1;30(4):791-805. doi: 10.1364/JOSAA.30.000791.
As Part V in our series, this paper examines steady-state fluorescence photon diffusion in a homogenous medium that contains a homogenous distribution of fluorophores, and is enclosed by a "concave" circular cylindrical applicator or is enclosing a "convex" circular cylindrical applicator, both geometries being infinite in the longitudinal dimension. The aim is to predict by analytics and examine with the finite-element method the changing characteristics of the fluorescence-wavelength photon-fluence rate and the ratio (sometimes called the Born ratio) of it versus the excitation-wavelength photon-fluence rate, with respect to the source-detector distance. The analysis is performed for a source and a detector located on the medium-applicator interface and aligned either azimuthally or longitudinally in both concave and convex geometries. When compared to its steady-state counterparts on a semi-infinite medium-applicator interface with the same line-of-sight source-detector distance, the fluorescence-wavelength photon-fluence rate reduces faster along the longitudinal direction and slower along the azimuthal direction in the concave geometry, and conversely in the convex geometry. However, the Born ratio increases slower in both azimuthal and longitudinal directions in the concave geometry and faster in both directions in the convex geometry, respectively, when compared to that in the semi-infinite geometry.
作为我们系列文章的第五部分，本文研究了在含有均匀分布荧光团的均匀介质中的稳态荧光光子扩散情况。该介质被一个“凹形”圆柱状施加器包围，或者包围着一个“凸形”圆柱状施加器，两种几何形状在纵向维度上都是无限的。目的是通过解析方法进行预测，并使用有限元方法研究荧光波长光子注量率及其与激发波长光子注量率之比（有时称为博恩比）随源 - 探测器距离的变化特性。分析针对位于介质 - 施加器界面上且在凹形和凸形几何形状中沿方位角或纵向对齐的源和探测器进行。与在具有相同视线源 - 探测器距离的半无限介质 - 施加器界面上的稳态对应情况相比，在凹形几何形状中，荧光波长光子注量率沿纵向方向降低得更快，沿方位角方向降低得更慢；而在凸形几何形状中则相反。然而，与半无限几何形状相比，凹形几何形状中博恩比在方位角和纵向方向上增加得都较慢，而凸形几何形状中在两个方向上增加得都较快。
