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Femtosecond pulse propagation in biotissue-like scattering medium: theoretical analysis versus Monte Carlo simulations

机译：生物发布散射介质中的飞秒脉冲传播：理论分析与蒙特卡罗模拟

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Detailed investigation of ultrashort pulse propagation in biotissue-like media is of high interest currently due to development of biomedical diagnostics tools based on IR femtosecond radiation, such as optical coherence tomography or multiphoton fluorescence microscopy. Applying these techniques for subsurface imaging at depths exceeding 1 mm is significantly restricted by dispersion of probing pulse due to scattering in biotissue and, consequently, by loss of axial resolution and decrease of peak power. In present work we report on a study of femtosecond pulse modification at propagation in biotissue-like media with highly anisotropic scattering (g = 0.9). We have proposed original analytical approach for calculating the pulse structure based on expanding the light field in Neumann series over scattering orders with account of multiple scattering. Small-angle approximation of radiative transfer equation accounting for photon multiple passage effect was employed for calculation of contributions of least scattering orders. The proposed model was applied for study of ultrashort pulse propagation through a plain layer of biotissue-like media. Optical thickness of the sample and scattering anisotropy factor were varied in the range of values typical for biotissues and biotissue-like phantoms. The influence of phase function shape on structure of scattered pulse was investigated. The analysis of the contributions of different scattering orders into pulse profile was performed for various scattering parameters of the medium. Results of analytical study are in good agreement with those obtained by Monte Carlo simulations. The proposed theoretical method reveals new approach for solving the inverse problem in biomedical diagnostics.
机译：对生物化型介质中超短脉冲传播的详细研究目前是由于基于IR飞秒辐射的生物医学诊断工具的开发，如光学相干断层扫描或多光子荧光显微镜。在超过1mm的深度处应用这些用于地下成像的技术通过探测脉冲由于生物发布的散射而显着地限制，因此通过轴向分辨率损失和峰值功率降低。在目前的工作中，我们报告了具有高各向异性散射（G = 0.9）的生物探测介质中的飞秒脉冲修饰的研究。我们已经提出了基于在散射顺序扩展Neumann系列中的脉冲结构来计算脉冲结构的原始分析方法，以多次散射。用于光子多通道效应的小角度近似值用于计算最小散射顺序的贡献。所提出的模型应用于通过普通的生物发布的介质层研究超短脉冲传播。样品和散射各向异性因子的光学厚度在生物发布和生物筛作物的典型值范围内变化。研究了相位函数形状对散射脉冲结构的影响。对介质的各种散射参数进行了对不同散射顺序的贡献分析。分析研究结果与Monte Carlo模拟获得的人吻合良好。所提出的理论方法揭示了解决生物医学诊断逆问题的新方法。

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