10th International Aerosol Conference September 2 - September 7, 2018 America's Center Convention Complex St. Louis, Missouri, USA
Abstract View
Approximation to the Diffraction Limit of Three Dimensional Shapes Using the Scaling Approach
JUSTIN MAUGHAN, Christopher Sorensen, Kansas State University
Abstract Number: 495 Working Group: Aerosol Physics
Abstract A scaling approach for understanding features such as power laws and cross over points of the light scattered in the diffraction or m→1 limit, where m is the relative index of refraction is presented. The scaling approach is a semi-quantitative approach to describing the behavior of the structure factor of an arbitrary collection of scatterers, be it a dense three-dimensional particle, fractal aggregate or a collection of scatterers within a scattering volume. The focus here will be on single three-dimensional orientationally averaged homogenous particles. In the scaling approach, instead of considering the particle itself as being rotated, it is instead the scattering wave vector q that can take on all possible directions. Instead of being a vector q can be thought of as a spherical region with radius q-1. It will be shown that for three dimensional shapes such as hexagonal columns, spheroids, cylinders, and square columns the average behavior, power laws, and cross over points of the structure factor can be described by a single parameter ε which is the aspect ratio of the shape.