Razmolov A.A., Chesnokova T.Yu., Firsov K.M. Accounting for the overlap of molecular absorption spectra of different gases in the approximation of transmission function by a series of exponents

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https://doi.org/10.15688/mpcm.jvolsu.2026.2.6

Alexey A. Razmolov
Assistant, Department of Radiophysics, Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Tatyana Y. Chesnokova
Candidate of Sciences (Physics and Mathematics), Senior Researcher, V.E. Zuev Institute of Atmospheric Optics Siberian Branch of the Russian Academy of Sciences
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https://orcid.org/0009-0001-6369-1836

Academician Zuev Sq., 1, 634055 Tomsk, Russian Federation

Konstantin M. Firsov
Doctor of of Sciences (Physics and Mathematics), Professor, Department of Radiophysics, Volgograd State University
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https://orcid.org/0000-0002-8448-1483

Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Abstract. A new method is proposed for accounting for the overlap of absorption bands of different gases in the approximation of the transmission by a series of exponents. The method takes additively into account the effective molecular absorption coefficients of various gases. It is shown that this method makes it possible to obtain short exponential series (small number of parameters), that ensures high speed of the calculation of radiative transfer in the Earth’s atmosphere. The developed method is applicable to the radiative transfer simulation in both the longwave and shortwave spectral regions, including cases of multiple scattering by aerosol and cloud particles.

Key words: overlap of absorption bands, parametrization of radiative transfer equation, transmission functions, series of exponents, molecular absorption.

Razmolov A.A., Chesnokova T.Yu., Firsov K.M. Accounting for the overlap of molecular absorption spectra of different gases in the approximation of transmission function by a series of exponents is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Mathematical Physics and Computer Simulation. Vol. 29 No. 2 2026, pp. 86-104

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