ELECTRONIC COMPUTATIONS OF LIGHT SCATTERING FUNCTIONS FOR HETERODISPERSE SYSTEMS OF ISOTROPIC SPHERES

Abstract

Fortran programs were developed to compute light scattering functions for heterodisperse systems which can be described by a bi-parametric, unimodal, exponential distribution function. The program had to include the evaluation of the Mie functions for angular scattering for any arbitrary values of the size parameter alpha within the range 0 < alpha < 25. This involves the generation of the Riccati-Bessel functions and Legendre polynomials. Two methods of numerical integration (viz. Gaussian Quadrature and Simpson's rule) of the expressions containing the products of the Mie functions and the distribution function were investigated, and the results were compared. The theoretical results were also checked by extrapolation to the condition of monodispersity.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 06, 1967
Accession Number
AD0654724

Entities

People

  • Jack Witeczek
  • Mukul Yajnik
  • Wilfried Heller

Organizations

  • Wayne State University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Bessel Functions
  • Chemistry
  • Computations
  • Computers
  • Demographic Cohorts
  • Distribution Curves
  • Distribution Functions
  • Electron Microscopy
  • Gaussian Quadrature
  • Light Scattering
  • Materials
  • Particle Size
  • Particles
  • Refractive Index
  • Scattering
  • Test And Evaluation
  • United States Government

Readers

  • Aerosol Science/Aerosol Physics
  • Calculus or Mathematical Analysis

Technology Areas

  • Microelectronics