Exponential-sum fitting of radiative transmission functions

Details Exponential-sum fitting of radiative transmission functions Exponential-sum fitting of radiative transmission functions

Aug 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977jcoph..24..416w&link_type=abstract

Journal of Computational Physics, vol. 24, Aug. 1977, p. 416-444. ARPA-supported research.

Statistics

Computation

55

Computer Techniques, Curve Fitting, Error Analysis, Exponential Functions, Planetary Atmospheres, Radiative Transfer, Absorption Spectra, Algorithms, Atmospheric Scattering, Convergence, Molecular Absorption, Sums

Scientific paper

The paper presents a fast numerical method for performing exponential sum fitting of transmissions based on the theory of Cantor and Evans (1970). The method is well conditioned, has guaranteed convergence to best fit, automatically selects some optimal number of terms, satisfies constraints on coefficients dictated by physical reasons, and produces fits whose accuracy is regulated primarily by the accuracy of the data. Sample fits of the Goody and Malkmus band models and to Yamamoto's H2O solar absorption data are given.

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