Low-parametrical approximation of reflectance in a gas absorption band

O. V. Nikolaeva

Matematičeskoe modelirovanie, Tome 32 (2020) no. 2, pp. 24-36.

Résumé

The sunlight transfer equation problem in a gas absorption band is under consideration. Structure of spectral dependence of reflectance of solar light reflecting by the atmosphere-surface system is studied. Low-parametrical approximations of reflectance as expansion of reflectance inverse logarithm by absorption section degrees are constructed. The approximation are synthesis of the Bouguer–Lambert–Beer law. The explicit algorithm of approximation parameters calculation based on known values of reflectance. It is shown how the constructed approximations can be used for reduction of time of line-byline calculations of reflectance.

Détail

Keywords: sunlight, reflectance, low-parametrical approximation.
Mots-clés : gas absorption

Bibliographie

[1] Y. Knyazikhin, M. A. Schull, L. Xu, R. B. Myneni, A. Samanta, “Canopy spectral invariants. Part 1: A new concept in remote sensing of vegetation”, Journal of Quantitative Spectroscopy Radiative Transfer, 112:4 (2011), 727–735 | DOI

[2] M. A. Schulln, Y. Knyazikhin, L. Xu, A. Samanta, P. L. Carmona, L. Lepine, J. P. Jenkins, S. Ganguly, R. B. Myneni, “Canopy spectral invariants, Part 2: Application to classification of forest types from hyperspectral data”, Journal of Quantitative Spectroscopy Radiative Transfer, 112:4 (2011), 736–750 | DOI

[3] A. Marshak, Y. Knyazikhin, J. C. Chiu, W. J. Wiscombe, “Spectrally Invariant Approximation within Atmospheric Radiative Transfer”, Journal of Atmospheric Science, 68, 3094–3111 | DOI

[4] A. Y. Denisova, Y. N. Juravel, V. V. Myasnikov, “Estimation of parameters of a linear spectral mixture for hyperspectral omages with atmospheric distortions”, Computer optics, 40:3 (2016), 380–387

[5] O. V. Nikolaeva, “A new algorithm of retrieving the surface albedo by satellite remote sensing data”, Atmospheric and Oceanic Optics, 29:4 (2016), 342–347 | DOI | MR

[6] L. V. Katkovsky, “Parametrizatsiia ukhodiashchego izlucheniia dlia bystroi atmosfernoi korrektsii giperspektralnykh izobrazhenii”, Optika atmospferi i okeana, 29:9 (2016), 778–784

[7] V. V. Rozanov, “Differential optical absorption spectroscopy (DOAS) and air mass factor concept for a multiply scattering vertically inhomogeneous medium: theoretical consideration”, Atmos. Meas. Tech., 3 (2010), 751–780 | DOI

[8] O. V. Nikolaeva, “Algorithm for eliminating gas absorption effects on hyperspectral remote sensing data”, Computer Optics, 42:2 (2018), 328–337

[9] Iu. V. Voronina, Parametrizatsiia funktsii propuskaniia v shyrokihk spektralnykh intervalakh dlia zadach perenosa korotkovolnovogo izlucheniia v atmosphere, Avtoreferat na soiskanie uchenoi sterpeni cand. fis. mat. nauk, Tomsk, 2008, 19 pp.

[10] I. V. Mingalev, E. A. Fedotova, K. G. Orlov, “Parameterization of the Infrared Molecular Absorption in the Earth's Lower and Middle Atmosphere”, Atmospheric and Oceanic Optics, 31:6 (2018), 582–589 | DOI | MR

[11] S. A. Buehlera, A. von Engelna, E. Brocarda, V. O. Johna, T. Kuhnb, P. Eriksson, “Recent developments in the line-by-line modeling of outgoing longwave radiation”, Journal of Quantitative Spectroscopy Radiative Transfer, 98 (2006), 446–457 | DOI

[12] B. A. Fomin, “A k-distribution technique for radiative transfer simulation in inhomogeneous atmosphere: 1. FKDM, fast k-distribution model for the longwave”, Journal of Geophysucal Research, 109 (2004), D02110

[13] B. A. Fomin, “A k-distribution technique for radiative transfer simulation in inhomogeneous atmosphere: 2. FKDM, fast k-distribution model for the shortwave”, Journal of Geophysucal Research, 1100 (2005), D02106

[14] A. V. Shilkov, M. N. Gertsev, E. N. Aristova, S. V. Shilkova, “Metodika etalonnykh «line-by-line» raschetov atmosfernoi radiatsii”, Komputernoe issledovanie i modelirovanie, 4:3 (2012), 553–562

[15] E. N. Aristova, M. N. Gertsev, A. V. Shilkov, “Lebesgue averaging method in serial computations of atmospheric radiation”, Computational Mathematics and Mathematical Physics, 57:6 (2017), 1022–1035 | DOI | DOI | MR | Zbl

[16] M. N. Gertsev, “Vosstanovlenie sechenii molekuliarnogo pogloshcheniia izlucheniia iz bazy dannykh HITRAN”, Keldysh Institute preprints, 2016, 019, 22 pp.

[17] Atmosphera standartnaia. Parametry. GOST 4401-81, 2004, 165 pp.

[18] I. L. Katsev, E. P. Zege, A. S. Prikhach, “Mikrofizicheskaia model aerozolnoi atmosfery Belarusi i sopredelnykh regionov”, Optika atmospferi i okeana, 29 (2016), 572–578

[19] M. I. Mishchenko, J. M. Dlugach, E. G. Yanovitskij, N. T. Zakharova, “Bidirectional reflectance of flat optically thick particulate layers: an efficient radiative transfer solution and applications to snow and soil surfaces”, Journal of Quantitative Spectroscopy Radiative Transfer, 64 (1999), 409–432 | DOI

[20] G. G. Baula, M. N. Brychikhin, M. I. Istomina, A. Yu. Krotkov, E. Yu. Szhyonov, A. A. Rizvanov, V. N. Tret'yakov, “Formirovanie bazy dannykh giperspektralnykh opticheskikh kharakteristik selskokhoziaistvennykh kultur v ultrafioletovoi, vidimoi i blizhnei infrakrasnoi oblastiakh spektra”, Kosmonavtika i raketostroenie, 2013, no. 4, 178–184

[21] A. A. Rizvanov, “Giperspektralnye nabliudeniia sistemy atmosfera zemlia v ultrafioletovoi, vidimoi i blizhnei infrakrasnoi oblastiakh spektra s borta mezhdunarodnoi kosmicheskoi stantsii”, Kosmonavtika i raketostroenie, 2015, no. 6, 39–44