On the Recovery of 3D Spatial Statistics of Particles from 1D Measurements: Implications for Airborne Instruments
On the Recovery of 3D Spatial Statistics of Particles from 1D Measurements: Implications for Airborne Instruments
复制标题
从 1D 测量中恢复粒子 3D 空间统计：对机载仪器的影响
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
Philip Boehner
中科院分区：
文献类型：
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作者：
M. Larsen;C. Briner;Philip Boehner
气溶胶粒子、云滴或雨滴的空间位置可以用三维点过程来模拟。三维点过程的表征通常涉及系统的径向分布函数（RDF）和/或对相关函数（PCF）的计算或估计。然而，对这些三维系统进行采样通常是不切实际的，并且因此，通过沿着穿过体积的一维横断面探测系统来直接测量这些三维系统（例如，安装在飞机上的云探测器测量穿过云的薄的水平“串”）。这些一维断面的RDF和PCF与取样的固有三维系统的RDF/PCF相关（但一般不相等）。以前的工作研究的内在三维系统和一维横断面的统计之间的正式数学关系;这.
AbstractThe spatial positions of individual aerosol particles, cloud droplets, or raindrops can be modeled as a point processes in three dimensions. Characterization of three-dimensional point processes often involves the calculation or estimation of the radial distribution function (RDF) and/or the pair-correlation function (PCF) for the system. Sampling these three-dimensional systems is often impractical, however, and, consequently, these three-dimensional systems are directly measured by probing the system along a one-dimensional transect through the volume (e.g., an aircraft-mounted cloud probe measuring a thin horizontal “skewer” through a cloud). The measured RDF and PCF of these one-dimensional transects are related to (but not, in general, equal to) the RDF/PCF of the intrinsic three-dimensional systems from which the sample was taken. Previous work examined the formal mathematical relationship between the statistics of the intrinsic three-dimensional system and the one-dimensional transect; this...