Content
Abstract:
Simulating the solar radiation spectrum reflected by the Earth atmosphere for trace gas retrievals, such as CO2 and CH4, typically involves solving the radiative transfer equation (RTE), a computationally intensive process due to the multiple scattering term.To accelerate computations, we utilize a fast Python-based radiative transfer model FALCAS that approximates multiple scattering by introducing a virtual layer with isotropic scattering. This allows to mimic the results of the models with full multiple scattering treatment, yet to significantly reduce computation time.We develop an algorithm for retrieving CO2 and CH4 concentrations using FALCAS and evaluate its accuracy against a discrete ordinate model PYDOME. The CO2 and CH4 retrievals are performed using FALCAS from synthetic spectra generated by PYDOME in the (1500–1750) nm spectral range, considering various aerosol and geometric conditions.The error in retrieved concentrations is about 2.0 % for the aerosol optical thickness of about 0.9. This result remains robust under noise and convolution effects as well as across varying geometries, with errors under 5 % at a signal-to-noise ratio of 50.
References:
1. Arrhenius, S. XXXI. On the influence of carbonic acid in the air upon the temperature of the ground // Philosophical Magazine and Journal of Science, 1896, 41 (251), pp. 237–276. 2. Bovensmann, H., Doicu, A., Stammes, P., Roozendael, M.V., von Savigny, C., de Vries, M.P., Beirle, S., Wagner, T., Chance, K., Buchwitz, M., Kokhanovsky, A., Richter, A., Rozanov, A.V., and Rozanov V.V. From radiation fields to atmospheric concentrations: retrieval of geophysical parameters // Springer Netherlands, 2010, in SCIAMACHY – Exploring the Changing Earth's Atmosphere, pp. 99–127. 3. Goody, R., West, R., Chen, L., and Crisp, D. The correlated-k method for radiation calculations in nonhomogeneous atmospheres // Journal of Quantitative Spectroscopy and Radiative Transfer, 1989, 42(6), pp. 539–550. 4. Fomin B. and Razumovskiy, M. Effective parameterization of absorption by gaseous species and unknown UV absorber in 125–400 nm region of venus atmosphere // Journal of Quantitative Spectroscopy and Radiative Transfer, 2022, 286:108201. 5. Matricardi, M. A principal component based version of the RTTOV fast radiative transfer model // Quarterly Journal of the Royal Meteorological Society, 2010, 136 (652), pp. 1823–1835. 6. Natraj, V., Shia, R.-L., and Yung, Y.L. On the use of principal component analysis to speed up radiative transfer calculations // Journal of Quantitative Spectroscopy and Radiative Transfer, 2010, 111 (5), pp. 810–816. 7. Efremenko, D., Doicu, A., Loyola, D., and Trautmann, T. Optical property dimensionality reduction techniques for accelerated radiative transfer performance: Application to remote sensing total ozone retrievals // Journal of Quantitative Spectroscopy and Radiative Transfer, 2014, # 133, pp. 128–135. 8. Efremenko, D.S. Discrete ordinate radiative transfer model with the neural network based eigenvalue solver: proof of concept // Light & Engineering, 2021, Vol. 29, # 1, pp. 56–62. 9. Xu, J., Zhang, Z., Rao, L., Wang, Y., Letu, H., Shi, G., Tana, C., Wang, S., Zhu, W., Liu, S., Shi, E., Wang, Y., Chen, L., Dong, X., and Shi, J. Remote sensing of tropospheric ozone from space: Progress and challenges // Journal of Remote Sensing, 2024, # 4. 10. Del Águila, A., Efremenko, D.S., Molina García, V., and Kataev, M. Yu. Cluster low-streams regression method for hyperspectral radiative transfer computations: Cases of O2 A- and CO2 band // Remote Sensing, 2020, 12 (8), p. 1250. 11. Del Águila, A. and Efremenko, D.S. Accuracy enhancement of the two-stream radiative transfer model for computing absorption bands at the presence of aerosols // Light & Engineering, 2021, Vol. 29, # 2, pp. 79–86. 12. Afanas'ev, V.P., Budak, V.P., Efremenko, D.S., and Kaplya, P.S. Application of the photometric theory of the radiance field in the problems of electron scattering // Light & Engineering, 2019, Vol. 27, # 2, pp. 88–96. 13. Budak, V.P., Kaloshin, G.A., Shagalov, O.V., and Zheltov, V.S. Numerical modelling of the radiative transfer in a turbid medium using the synthetic iteration // Optics Express, 2015, 23 (15): A829. 14. Reuter, M., Buchwitz, M., Chneising, O., Noël, S., Rozanov, V., Bovensmann, H., and Burrows, J.P. A fast atmospheric trace gas retrieval for hyperspectral instruments approximating multiple scattering – Part 1: Radiative transfer and a potential OCO‑2 XCO2 retrieval setup // Remote Sensing, 2017, Vol. 9, # 11. 15. Reuter, M., Buchwitz, M., Schneising, O., Noël, S., Bovensmann, H., and Burrows, J. A fast atmospheric trace gas retrieval for hyperspectral instruments approximating multiple scattering – Part 2: Application to XCO2 retrievals from OCO‑2 // Remote Sensing, 2017, Vol. 9, # 11, p. 1102. 16. Xu, J., Rao, L., Schreier, F., Efremenko, D.S., Doicu, A., and Trautmann T. Insight into construction of Tikhonov-type regularization for atmospheric retrievals // Atmosphere, 2020, 11 (10): 1052. 17. Rao, L., Xu, J., Efremenko, D.S., Loyola, D.G., and Doicu, A. Hyperspectral satellite remote sensing of aerosol parameters: Sensitivity analysis and application to TROPOMI/S5P // Frontiers in Environmental Science, 2022, Vol. 9. 18. Liu, S., Li, X., Xu, J., Shi, H., Guo, Y., Zhang, X., Ge, S., Wang, Y., Wang, H., Cao, X., Rao, L., and Shi, J. China's first infrared occultation spectrometer (GaoFen‑5/AIUS) monitoring atmosphere above Antarctic: Evaluation of methane profiles // IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2024, # 17, pp. 7946–7956. 19. Xu, J., Schussler, O., Loyola Rodrigues, D.G., Romahn, F., and Doicu, A. A novel ozone profile shape retrieval using full-physics inverse learning machine (FPILM) // IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2017, Vol. 10, # 12, pp. 5442–5457. 20. Efremenko, D.S., Loyola Rodrigues D.G., Hedelt, P., and Spurr, R.J.D. Volcanic SO2 plume height retrieval from UV sensors using a full-physics inverse learning machine algorithm // International Journal of Remote Sensing, 2017, 38 (sup1), pp. 1–27. 21. Doicu, A., Efremenko, D.S., Loyola Rodrigues D.G., and Trautmann, T. An overview of neural network methods for predicting uncertainty in atmospheric remote sensing // Remote Sensing, 2021, 13 (24): 5061. 22. Zhu, S., Xu, J., Fan, M., Yu, C., Letu, H., Zeng, Q., Zhu, H., Wang, H., Wang, Y., and Shi, J. Estimating near surface concentrations of major air pollutants from space: A universal estimation framework LAPSO // IEEE Transactions on Geoscience and Remote Sensing, 2023, # 61, pp. 1–11. 23. Doicu, A., Efremenko, D.S., Wirth, C.L., and Wriedt, T. An algorithm for solving the inverse problem in total internal reflection microscopy // Journal of Quantitative Spectroscopy and Radiative Transfer, 2025, 345: 109534. 24. Mishin, I.V. Three-dimensional models of solar radiation transfer in the atmosphere [Trekhmernyye modeli perenosa solnechnoy radiatsii v atmosfere] // Atmospheric Optics, 1990, 3(10), pp. 1011–1020, 1990. 25. Peraiah, A. An Introduction to Radiative Transfer: Methods and Applications in Astrophysics // Cambridge University Press, 2001. 26. Schuster, G.L., Dubovik, O., and Holben, B.N. Angstrom exponent and bimodal aerosol size distributions // Journal of Geophysical Research: Atmospheres, 2006, 111(D7). 27. A. Doicu, A., Trautmann, T. Discrete-ordinate method with matrix exponential for a pseudo-spherical atmosphere: Scalar case // Journal of Quantitative Spectroscopy and Radiative Transfer, 2009, 110 (1), pp. 146–158. 28. Efremenko, D.S., Molina García, V., Gimeno García, S., and Doicu, A. A review of the matrix-exponential formalism in radiative transfer // Journal of Quantitative Spectroscopy and Radiative Transfer, 2017, 196, pp. 17–45. 29. Schreier, F., Gimeno García, S., Hochstaffl, P., and Städt, S. Py4CAtS – PYthon for Computational ATmospheric Spectroscopy // Atmosphere, 2019, 10 (5). 30. Bodhaine, B.A., Wood, N.B., Dutton, E.G., and Slusser, J.R. On Rayleigh optical depth calculations // J. Atmos. Oceanic Technol., 1999, 16, pp. 1854–1861. 31. Fomin, B. and Correa, M. A k-distribution technique for radiative transfer simulation in inhomogeneous atmosphere: 2. FKDM, fast k-distribution model for the shortwave // Journal of Geophysical Research: Atmospheres, 2005, 110 (D2). 32. Del Águila, A., Efremenko, D.S., and Trautmann, T. A review of dimensionality reduction techniques for processing hyper-spectral optical signal // Light & Engineering, 2019, Vol. 27, # 3, pp. 85–98. 33. Shanno, D.F. Conditioning of quasi-Newton methods for function minimization // Mathematics of Computation, 1970, 24 (111), pp. 647–656. 34. Liu, X., Shao, W., Chen, J., Lü, Z., Glover, F., and Ding, J. Multi-start local search algorithm based on a novel objective function for clustering analysis // Applied Intelligence, 2023, 53 (17), pp. 20346–20364. 35. Chuprov, I., Gao, J., Efremenko, D.S., and Buzaev, F. Application of global optimization for retrievals from synthetic multi-angle measurements // Light & Engineering, 2024, Vol. 32, # 3, pp. 11–19. 36. Sanders, A.F.J. and de Haan, J.F. Retrieval of aerosol parameters from the oxygen A band in the presence of chlorophyll fluorescence // Atmospheric Measurement Techniques, 2013, 6 (10), pp. 2725–2740.
Keywords
- surrogate model
- retrieval of CO2
- retrieval of CH4
- discrete ordinate method
- trace gases
- hyperspectral measurements
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