Langerholc J
Messerschmitt-Bolkow-Blohm GmbH, Unternehmensbereich Apparate, Postfach 80 11 49, 8000 Munchen 80, Federal Republic of Germany.
Appl Opt. 1982 May 1;21(9):1593-8. doi: 10.1364/AO.21.001593.
The full 3-D integral equation for the spherically symmetric scattering of light in a medium of densely packed uniformly distributed scattering centers is solved for the case of a cylindrically symmetric laser beam (Gaussian profile) directed normally at the slab. After reduction to a 2-D problem, the discretized integral equation for the intensity (irradiance) of the scattered light is solved by a standard iteration procedure. The resulting 2-D distribution is reconverted to 3-D to obtain the r and z dependence of the irradiance. From the solution the angular distribution of backward and forward scattered light is calculated; special emphasis is placed on the radial dependence of the scattered light emerging normal to the surface in both directions. Spot sizes are defined and calculated for various values of beam radius and material parameters, nominally chosen to represent irradiation of white (translucent) biological tissue by a Nd:YAG laser. The effect of increasing the scattering coefficient on the spot profiles and radii is studied.
针对垂直入射到平板上的圆柱对称激光束（高斯分布），求解了在具有密集排列且均匀分布散射中心的介质中光的球对称散射的完整三维积分方程。在简化为二维问题后，通过标准迭代程序求解散射光强度（辐照度）的离散积分方程。将得到的二维分布重新转换为三维分布，以获得辐照度的r和z依赖性。根据该解计算向后和向前散射光的角分布；特别强调了在两个方向上垂直于表面出射的散射光的径向依赖性。针对光束半径和材料参数的各种值定义并计算了光斑尺寸，这些值通常被选定为代表钕钇铝石榴石激光对白色（半透明）生物组织的照射。研究了增加散射系数对光斑轮廓和半径的影响。
