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Extended high-angular-frequency analysis of turbulence effects on short-exposure imaging

机译：扩展高角频率湍流对短曝光成像的影响分析

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摘要

An improved analysis of optical turbulence effects on short-exposure passive (SE) imaging is described, resulting in a new analytic expression for the SE modulation transfer function (MTF). This analysis expands on a 2011 study that examined characteristics of a tilt-phase component discovered in the standard theory of SE turbulence effects characterization. The analysis introduces an improved integration technique and a reformulated phase structure function, facilitating computation of a 38,007 element database of MTF results at low- to high-angular frequencies covering a wide range of diffraction and turbulence conditions. Analysis of this database is described, yielding a new analytic SE MTF, accurate to a root-mean-square error of 0.000218 versus the database. Comparisons show that the new expression is well correlated to an alternative computationally intensive method, and it is a factor 29 to 64 improvement over prior analytic expressions. Limits of applicability of the approach for incoherent imaging are also discussed. The low-computational cost of the new method is suitable for systems performance modeling of turbulence impacts, including path-varying turbulence scenarios. Authors. Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part
机译：描述了短湍流被动（SE）成像上光学湍流效应的改进分析，从而为SE调制传递函数（MTF）产生了新的解析表达式。该分析是在2011年的一项研究的基础上展开的，该研究检查了SE湍流效应表征标准理论中发现的倾斜相分量的特征。该分析引入了改进的积分技术和重新构造的相结构函数，便于计算在覆盖宽范围衍射和湍流条件的低至高角频率下的MTF结果的38,007个元素数据库。描述了对该数据库的分析，得出了一个新的分析SE MTF，与该数据库相比，其均方根误差精确到0.000218。比较表明，新表达式与替代的计算密集型方法紧密相关，并且比以前的分析表达式提高了29到64倍。还讨论了非相干成像方法的适用性限制。新方法的低计算成本适合于湍流影响的系统性能建模，包括变化路径的湍流场景。作者由SPIE根据Creative Commons Attribution 3.0 Unported License发布。散发或复制本作品的全部或部分

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