A Higher Order Exponential Function for Fitting Nonlinear Curves.

Abstract

Numerous mathematical methods have evolved over the years for fitting curves that exhibit nonlinear character. In this technical memorandum, the authors present a continuous function, the Rachele/Kilmer (R/K) optical profile function, that was originally configured by R/K to fit model simulated vertical profiles of extinction and backscatter coefficients in very low stratus clouds and subcloud regions. The R/K function fits most of the nonlinear optical profiles so well that the authors were encouraged to investigate its potential for fitting nonlinear curves that were produced by other physical/mathematical models. Results are presented that demonstrate the versatility and power of the R/K function when fitting simulated data from three different models.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1992
Accession Number
ADA258431

Entities

People

  • Henry Rachele
  • Lisa Manguso
  • Neal H. Kilmer

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Masses
  • Artillery
  • Atmospheric Sciences
  • Backscattering
  • Clouds
  • Coefficients
  • Equations
  • Extinction
  • Mathematical Models
  • Military Research
  • Models
  • New Mexico
  • Rodents
  • Simulations
  • Stratus Clouds
  • Thermal Conductivity
  • Warfare

Readers

  • Approximation Theory.
  • Atmospheric Remote Sensing.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)