Approximations in Inverting the Radiative Transfer Equation.
Research and development technical rept.,
ARMY ELECTRONICS COMMAND FORT MONMOUTH N J
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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 Taylors 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
- Atmospheric Physics