Filosa C, Ten Thije Boonkkamp J H M, IJzerman W L
Appl Opt. 2016 May 1;55(13):3599-606. doi: 10.1364/AO.55.003599.
Ray tracing is a forward method to calculate the photometric variables at the target of a non-imaging optical system. In this paper, a new ray tracing technique is presented to improve the accuracy and to reduce the computational time of the classical ray tracing approach. The method is based on the phase space representation of the source and the target of the optical system, and it is applied to a two-dimensional TIR-collimator. The strength of the method lies in tracing fewer rays through the system. Only rays that lie in the meridional plane are considered. A procedure that disregards rays in smooth regions in phase space, where the luminance is continuous, is implemented and only the rays close to discontinuities are traced. The efficiency of the method is demonstrated by numerical simulations that compare the new method with Monte Carlo ray tracing. The results show that the phase space approach is faster and more accurate than the already existing ray tracing method; moreover the phase space method converges as one over the number of rays traced unlike Monte Carlo ray tracing in which the speed of convergence is proportional to one over the square root of the number of rays.
光线追迹是一种用于计算非成像光学系统目标处光度学变量的正向方法。本文提出了一种新的光线追迹技术，以提高经典光线追迹方法的精度并减少计算时间。该方法基于光学系统光源和目标的相空间表示，并应用于二维全内反射准直器。该方法的优势在于通过系统追迹的光线数量更少。仅考虑位于子午面内的光线。实现了一种忽略相空间中亮度连续的平滑区域内光线的程序，仅追迹靠近不连续处的光线。通过将新方法与蒙特卡洛光线追迹进行比较的数值模拟，证明了该方法的效率。结果表明，相空间方法比现有的光线追迹方法更快且更准确；此外，相空间方法的收敛速度与所追迹光线数量的倒数成正比，这与蒙特卡洛光线追迹不同，在蒙特卡洛光线追迹中，收敛速度与光线数量平方根的倒数成正比。
