Kim Arnold D, Moscoso Miguel
Department of Mathematics, Stanford University, Stanford, California 94305-2125, USA.
J Opt Soc Am A Opt Image Sci Vis. 2004 May;21(5):797-803. doi: 10.1364/josaa.21.000797.
We calculate the radiance of a light beam propagating in a uniformly scattering and absorbing slab and determine the point-spread function. We do this by solving numerically the governing radiative transport equation by use of plane-wave mode expansions. When scattering is sharply peaked in the forward direction and it becomes difficult to solve the radiative transport equation, we replace it with either the Fokker-Planck or the Leakeas-Larsen equation. We also solve these equations by using plane-wave mode expansions. Numerical results show that these two equations agree with the radiative transport equation for large anisotropy factors. The agreement improves as the optical thickness increases.
我们计算在均匀散射和吸收平板中传播的光束的辐射率,并确定点扩散函数。我们通过使用平面波模式展开数值求解主导的辐射传输方程来做到这一点。当散射在向前方向上急剧峰值化且求解辐射传输方程变得困难时,我们用福克 - 普朗克方程或利卡斯 - 拉森方程代替它。我们也通过使用平面波模式展开来求解这些方程。数值结果表明,对于大的各向异性因子,这两个方程与辐射传输方程一致。随着光学厚度增加,一致性得到改善。