Remote Sounding of Atmospheric Temperature Profiles Using the Differential Inversion Method

Abstract

The differential inversion method (DIM) is presented in the context of the fundamental principles governing the transfer of radiation for plane- parallel atmospheres in local thermodynamic equilibrium. In the Laplace inverse plane, the Planck intensity is linearly related to upwelling radiances weighted by the weighting function. By applying the inverse transform, the local Planck intensity can be exactly expressed by a linear combination of the derivatives of upwelling radiances in the logarithmic pressure coordinate. Using seven HIRS channels, numerical analyses of the DIM for temperature retrievals are carried out. Results based on distinct U.S. standard and tropical profiles show that the DIM converges to the true temperature solution with an accuracy of 102 K for tropospheric temperatures using a fifth-order polynomial function to fit seven HIRS radiances. The DIM appears to be an efficient and powerful retrieval method for temperatures. It is free from the need for a priori data basing and requires no constraints in the retrieval. Finally, it is pointed out that the key to the success of the DIM for practical applications appears to depend on whether an appropriate curve-fitting program can be developed for observed radiances. Keywords: Radiative transfer; Remote sensing.

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Document Details

Document Type
Technical Report
Publication Date
Jun 15, 1988
Accession Number
ADA199896

Entities

People

  • Kuo-nan Liou
  • Szu-cheng S. Ou

Organizations

  • University of Utah

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Absorption Coefficients
  • Air Force
  • Atmospheric Temperature
  • Climate Change
  • Curve Fitting
  • Equations
  • Errors
  • Integrals
  • Inverse Problems
  • New York
  • Numerical Analysis
  • Optical Properties
  • Probability
  • Radiative Transfer
  • Remote Sensing
  • United States
  • Weighting Functions

Readers

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