The Minimum Modulation Curve as a tool for specifying optical performance: application to surfaces with mid-spatial frequency errors.
The Minimum Modulation Curve as a tool for specifying optical performance: application to surfaces with mid-spatial frequency errors.
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DOI：
10.1364/oe.27.025551
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发表时间：
2019-09
期刊：
影响因子：
3.8
通讯作者：
H. Aryan;G. Boreman;T. Suleski
中科院分区：
文献类型：
--
作者：
H. Aryan;G. Boreman;T. Suleski
存在各种常见情况，其中一维调制传递函数(MTF)或2D MTF的两个正交分布的规范不足以描述光学系统的图像质量性能。这些系统包括具有非对称轴上脉冲响应的系统、具有离轴像差的系统、具有包含中空间频率误差的表面的系统以及自由形式系统。本文提出了最小调制曲线的概念。从极坐标形式的二维MTF开始，将任意方位角的最小MTF绘制为径向空间频率的函数。这可以以类似于MTF曲线的熟悉形式来表示，并且在保证对于图像中的空间频率的任何可能方向满足给定MTF规范的情况下是有用的。这样，MMC在指定光学系统的所需性能方面可能是有价值的。文中以中空间频率误差曲面的轮廓数据为例说明了MMC的应用。
There are a variety of common situations in which specification of a one-dimensional modulation transfer function (MTF) or two orthogonal profiles of the 2D MTF are not adequate descriptions of the image quality performance of an optical system. These include systems with an asymmetric on-axis impulse response, systems with off-axis aberrations, systems with surfaces that include mid-spatial frequency errors, and freeform systems. In this paper, we develop the concept of the Minimum Modulation Curve (MMC). Starting with the two-dimensional MTF in polar form, the minimum MTF for any azimuth angle is plotted as a function of the radial spatial frequency. This can be presented in a familiar form similar to an MTF curve and is useful in the context of guaranteeing that a given MTF specification is met for any possible orientation of spatial frequencies in the image. In this way, an MMC may be of value in specifying the required performance of an optical system. We illustrate application of the MMC using profile data for surfaces with mid-spatial frequency errors.