Approximations in Inverting the Radiative Transfer Equation.
Abstract
The paper demonstrates that for wavenumbers used for satellite remote sensing of temperature and for temperature in the range encountered in the atmosphere, the Planck function can be approximated by a Taylor's expansion about a guess temperature with sufficient accuracy obtained after the first derivative term. Moreover, it is shown that the derivative of the Planck function with respect to temperature, T, is approximately equal to .01T-1.3. The approximations are incorporated into an iterative retrieval algorithm to obviate the transcendental functional evaluations usually required in inverting the radiative transfer equation. The resulting procedure provides approximately 80 percent savings in computer time with insignificant loss of accuracy. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1974
- Accession Number
- AD0783492
Entities
People
- Louis D. Duncan
Organizations
- United States Army Communications-Electronics Command