Stamnes J J, Heier H
Department of Physics, University of Bergen, N-5007 Bergen, Norway.
Appl Opt. 1998 Jun 10;37(17):3612-22. doi: 10.1364/ao.37.003612.
We describe an accurate technique for computing the diffraction point-spread function for optical systems. The approach is based on the combined method of ray tracing and diffraction, which implies that the computation is accomplished in a two-step procedure. First, ray tracing is employed to compute the wave-front error in a reference plane on the image side of the system and to determine the shape of the vignetted pupil. Next the Rayleigh-Sommerfeld diffraction theory, combined with the Kirchhoff approximation and the Stamnes-Spjelkavik-Pedersen method for numerical integration, is applied to compute the field in the region of the image. The method does not rely on small-angle approximations and works well for a pupil of general shape. Both scalar and electromagnetic computations are discussed and numerical results are presented.
我们描述了一种用于计算光学系统衍射点扩散函数的精确技术。该方法基于光线追迹和衍射的组合方法，这意味着计算分两步完成。首先，使用光线追迹来计算系统像侧参考平面上的波前误差，并确定渐晕光瞳的形状。接下来，将瑞利 - 索末菲衍射理论与基尔霍夫近似以及用于数值积分的斯塔姆内斯 - 斯皮尔克维克 - 佩德森方法相结合，来计算图像区域中的场。该方法不依赖于小角度近似，对于一般形状的光瞳也能很好地工作。文中讨论了标量和电磁计算，并给出了数值结果。
