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Computational method for deriving the geometric point spread function of an optical system

机译:推导光学系统几何点扩散函数的计算方法

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The distribution of the ray density of the spot diagram formed in the image plane is called the geometric point spread function (PSF). It plays an important role in the image formation theory, since it describes the impulse response of an optical system to a source point. However, the literature contains very few techniques for deriving the PSF of optical systems. Accordingly, this study presents a method based on an irradiance model for computing the geometric PSF of an optical system by considering the energy conservation along a single light ray. It is shown that the proposed method obtains a reliable and accurate estimate of the PSF and enables the computation of the centroid and root-mean-square radius of the focus spot on the image plane. In addition, compared to existing ray-counting methods presented in the literature, in which the quality of the PSF solution depends on the number of rays traced and the grid size used to mesh the image plane, the proposed irradiance-based method requires just one tracing operation. Overall, the results presented in this study confirm that the proposed method provides an ideal solution for calculating the merit function and modulation transfer function of an optical system.
机译:在像平面上形成的光斑图的射线密度分布称为几何点扩散函数(PSF)。它在图像形成理论中起着重要作用,因为它描述了光学系统对源点的脉冲响应。但是,文献中很少有用于推导光学系统的PSF的技术。因此,本研究提出了一种基于辐照度模型的方法,该方法通过考虑沿单个光线的能量守恒来计算光学系统的几何PSF。结果表明,所提出的方法获得了可靠,准确的PSF估计值,并能够计算像点上像点的质心和均方根半径。此外,与文献中提出的现有射线计数方法(其中PSF解决方案的质量取决于所跟踪的射线数量和用于划分图像平面的网格大小)相比,基于辐照度的方法仅需要一种跟踪操作。总体而言,本研究中提出的结果证实了该方法为计算光学系统的优值函数和调制传递函数提供了理想的解决方案。

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