Rational Approximation and Remote Temperature Sensing

Abstract

In recent years there have been a number of papers dealing with methods for remote temperature sensing based on applying transform theory to the radiative transfer equation. In particular, methods based on optical measure theory method have the advantage that they do not require computations of numerical derivatives. In this paper we present techniques for approximating the radiance profile based on rational interpolation and nonlinear least squares data fitting. Optical measure theory permits the inversion of non-Laplacian exponential kernels. The models developed are easily extended to include generalized exponential weighting functions. We also introduce the concept of total nonlinear least squares data fitting.

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Document Details

Document Type
Technical Report
Publication Date
Nov 20, 1990
Accession Number
ADA262389

Entities

People

  • Steven J. Leon

Organizations

  • University of Massachusetts Dartmouth

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Algorithms
  • Computations
  • Data Sets
  • Equations
  • Integral Equations
  • Integrals
  • Intensity
  • Massachusetts
  • Mathematics
  • Measure Theory
  • Radiative Transfer
  • Rational Functions
  • Simplex Method
  • United States
  • Universities

Readers

  • Approximation Theory.
  • Combustion science or combustion engineering.
  • Optical Fiber Sensing and Electromagnetic Propagation.