Smoothing Technique and Variance Propagation for Abel Inversion of Scattered Data

Abstract

An analytic method of performing Abel inversions and subsequent analysis of the propagated experimental errors is described. The Abel inversion is applied to the problem of determining the radial distribution of emission coefficients from measurements of the radiance from a cylindrically symmetric radiating source. The particular scheme investigated is a least-squares polynomial spline fit technique.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1977
Accession Number
ADA038495

Entities

People

  • C. C. Limbaugh
  • R. T. Shelby

Organizations

  • Arnold Engineering Development Complex

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Coefficients
  • Computer Programs
  • Computers
  • Curve Fitting
  • Data Sets
  • Equations
  • Error Analysis
  • Experimental Data
  • Governments
  • Integral Equations
  • Inversion
  • New York
  • Polynomials
  • Radiance
  • Standards
  • Statistics

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Spectroscopy.