The isotropic correlation function of plane figures: the triangle case
Mathematical Physics
2015-05-19 v1 math.MP
Abstract
The knowledge of the isotropic correlation function of a plane figure is useful to determine the correlation function of the cylinders having the plane figure as right-section and a given height as well as to analyze the out of plane intensity collected in grazing incidence small-angle scattering from a film formed by a particulate collection of these cylinders. The correlation function of plane polygons can always be determined in closed algebraic form. Here we report its analytic expression for the case of a triangle. The expressions take four different forms that depend on the relative order among the sides and the heights of the triangle.
Cite
@article{arxiv.1006.1496,
title = {The isotropic correlation function of plane figures: the triangle case},
author = {Salvino Ciccariello},
journal= {arXiv preprint arXiv:1006.1496},
year = {2015}
}
Comments
11 pages, 2 figures