Abstract
Atmospheric radiative transfer involves gas absorption coupled with molecular Rayleigh scattering, in addition to scattering and absorption by clouds and aerosols. Further, computation of heating rates are dependent on absorption and emission of radiation, processes that have a complex dependence on various quantities. Typically, spectral regions contain several overlapping lines with intensities varying over many orders of magnitude. The most accurate method for computing the radiative terms in a molecular atmosphere involves a detailed line-by-line (LBL) calculation of the absorption coefficient versus wavenumber. However, direct numerical solution of the radiative transfer equation over frequency is in most cases too computationally expensive to be used on a routine basis. Therefore a variety of approximations have been developed to accelerate the computational process. This chapter discusses several of these techniques.
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References
Ambartsumian, V. (1936), The effect of the absorption lines on the radiative equilibrium of the outer layers of the stars, Publ. Obs. Astron. Univ. Leningrad, 6, 7–18.
Arking, A. A., and K. Grossman (1972), The influence of line shape and band structure on temperatures in planetary atmospheres, J. Atmos. Sci., 29, 937–949.
Armbruster, W., and J. Fischer (1996), Improved method of exponential sum fitting of transmissions to describe the absorption of atmospheric gases, Appl. Opt., 35(12), 1931–1941, doi:10.1364/AO.35.001931.
Boesche, E., P. Stammes, R. Preusker, R. Bennartz, W. Knap, and J. Fischer (2008), Polarization of skylight in the O2 A band: Effects of aerosol properties, Appl. Opt., 47(19), 3467–3480, doi:10.1364/AO.47.003467.
Buchwitz, M., V. V. Rozanov, and J. P. Burrows (2000), A correlated-k distribution scheme for overlapping gases suitable for retrieval of atmospheric constituents from moderate resolution radiance measurements in the visible/near-infrared spectral region, J. Geophys. Res., 105(D12), 15247–15261, doi:10.1029/2000JD900171.
Cao, Y., W. Zhang, Y. Zhang, H. Chang, and M. Cong (2011), A new k-interval selection technique for fast atmospheric radiance calculation in remote sensing applications, J. Quant. Spectrosc. Radiat. Transfer, 112(9), 1479–1485, 10.1016/j.jqsrt.2011.03.004.
Chandrasekhar, S. (1950), Radiative Transfer, Oxford: Clarendon Press.
Chou, M. D., and A. Arking (1980), Computation of infrared cooling rates in the water vapor bands, J. Atmos. Sci., 37, 855–867.
Chou, M.-D., W. L. Ridgway, and M. M.-H. Yan (1993), One-parameter scaling and exponential-sum fitting for water vapor and CO2 infrared transmission functions, J. Atmos. Sci., 50(14), 2294–2303, doi:10.1175/1520-0469(1993)050<2294:OPSAES> 2.0.CO;2.
Crisp, D. (1997), Absorption of sunlight by water vapor in cloudy conditions: A partial explanation for the cloud absorption anomaly, Geophys. Res. Lett., 24(5), 571–574, doi:10.1029/97GL50245.
Duan, M., Q. Min, and J. Li (2005), A fast radiative transfer model for simulating high-resolution absorption bands, J. Geophys. Res., 110, D15201, doi:10.1029/ 2004JD005590.
Germogenova, T. A. (1961), On the solution of the transfer equation for a plane layer, Zurnal. Appl. Math. Math. Phys., 1, 1001–1008.
Germogenova, T. A. (1963), Some formulas to solve the transfer equation in a plane layer problem, in Spectroscopy of Scattering Media, (ed. B. I. Stepanov), Minsk: AN BSSR, 36–41.
Goody, R., R. West, L. Chen, and D. Crisp (1989), The correlated-k method for radiation calculations in non homogeneous atmospheres, J. Quant. Spectrosc. Radiat. Transfer, 42, 539–550.
Hasekamp, O. P., and A. Butz (2008), Efficient calculation of intensity and polarization spectra in vertically inhomogeneous scattering and absorbing atmospheres, J. Geophys. Res., 113, D20309, doi:10.1029/2008JD010379.
Hovenier, J. W. (1971), Multiple scattering of polarized light in planetary atmospheres, Astron. Astrophys., 13, 7–29.
Hunt, G., and I. Grant (1969), Discrete space theory of radiative transfer and its application to problems in planetary atmospheres, J. Atmos. Sci., 26, 963–972, doi:10.1175/ 1520-0469(1969)026<0963:DSTORT>2.0.CO;2.
Kawabata, K., and S. Ueno (1988), The first three orders of scattering in vertically inhomogeneous scattering-absorbing media, Astrophys. Space Sci., 150, 327–344.
Key, J. R., and A. J. Schweiger (1998), Tools for atmospheric radiative transfer: Streamer and FluxNet, Comp. Geosci., 24(5), 443–451, doi:10.1016/S0098-3004(97)00130-1.
Kokhanovsky, A. A. (2002), Simple approximate formula for the reflection function of a homogeneous, semi-infinite turbid medium, J. Opt. Soc. Am. A, 19(5), 957–960.
Kokhanovsky, A. A., and T. Nauss (2006), Reflection and transmission of solar light by clouds: Asymptotic theory, Atmos. Chem. Phys., 6, 5,537-5,545, doi:10.5194/acp-6- 5537–2006.
Kokhanovsky, A. A., and V. V. Rozanov (2003), The reflection function of optically thick weakly absorbing turbid layers: A simple approximation, J. Quant. Spectrosc. Radiat. Transfer, 77, 165–175.
Kratz, D. P. (1995), The correlated k-distribution technique as applied to the AVHRR channels, J. Quant. Spectrosc. Radiat. Transfer, 53(5), 501–517, doi:10.1016/0022- 4073(95)00006-7.
Kratz, D. P., M.-D. Chou, M. M.-H. Yan, and C.-H. Ho (1998), Minor trace gas radiative forcing calculations using the k distribution method with one-parameter scaling, J. Geophys. Res., 103(D24), 31,647–31,656, doi:10.1029/1998JD200009.
Lacis, A. A., and V. Oinas (1991), A description of the correlated k distribution method for modeling non gray gaseous absorption, thermal emission, and multiple scattering in vertically inhomogeneous atmospheres, J. Geophys. Res., 96, 9027–9063.
Lacis, A. A., W. C. Wang, and J. E. Hansen (1979), Correlated k-distribution method for radiative transfer in climate models: Application to effect of cirrus clouds on climate, NASA Conf. Publ., 2076, 309–314.
Liu, X., W. L. Smith, D. K. Zhou, and A. Larar (2006), Principal component-based radiative transfer model for hyperspectral sensors: theoretical concept, Appl. Opt., 45(1), 201–209, doi: 10.1364/AO.45.000201.
Mano, Y. (1995), Modified ESFT method for application to atmospheric radiation, Papers in Meteorology and Geophysics, 46(1), 1–8.
Meadows, V. S., and D. Crisp (1996), Ground-based near-infrared observations of the Venus nightside: The thermal structure and water abundance near the surface, J. Geophys. Res., 101(E2), 4595–4622, doi:10.1029/95JE03567.
Moncet, J.-L., G. Uymin, A. E. Lipton, and H. E. Snell (2008), Infrared radiance modeling by Optimal Spectral Sampling, J. Atmos. Sci., 65, 3917–3934, doi:10.1175/ 2008JAS2711.1.
Natraj, V., X. Jiang, R.-L. Shia, X. Huang, J. S. Margolis, and Y. L. Yung (2005), Application of principal component analysis to high spectral resolution radiative transfer: A case study of the O2 A band, J. Quant. Spectrosc. Radiat. Transfer, 95(4), 539–556, doi:10.1016/j.jqsrt.2004.12.024.
Natraj, V., R.-L. Shia, and Y. L. Yung (2010), On the use of principal component analysis to speed up radiative transfer calculations, J. Quant. Spectrosc. Radiat. Transfer, 111(5), 810–816, doi:10.1016/j.jqsrt.2009.11.004.
Natraj, V., and R. J. D. Spurr (2007), A fast linearized pseudo-spherical two orders of scattering model to account for polarization in vertically inhomogeneous scattering–absorbing media, J. Quant. Spectrosc. Radiat. Transfer, 107(2), 263–293, doi:10.1016/j.jqsrt.2007.02.011.
Nauss, T., and A. A. Kokhanovsky (2011), Retrieval of warm cloud optical properties using simple approximations, Remote Sens. Environ., 115(6), 1,317–1,325, doi:10.1016/ j.rse.2011.01.010.
O’Dell, C. W. (2010), Acceleration of multiple-scattering, hyperspectral radiative transfer calculations via low-streams interpolation, J. Geophys. Res., 115, D10206, doi:10.1029/2009JD012803.
Schwander, H., A. Kaifel, A. Ruggaber, and P. Koepke (2001), Spectral radiative-transfer modeling with minimized computation time by use of a neural-network technique, Appl. Opt., 40(3), 331–335, doi:10.1364/AO.40.000331.
Sobolev, V. V. (1984), Integral relations and asymptotic expressions in the theory of radiative transfer, Astrofizika, 20, 123–132.
Spurr, R. J. D. (2002), Simultaneous derivation of intensities and weighting functions in a general pseudo-spherical discrete ordinate radiative transfer treatment, J. Quant. Spectrosc. Radiat. Transfer, 75(2), 129–175, doi: 10.1016/S0022-4073(02)00014-6.
Takenaka, H., T. Y. Nakajima, A. Higurashi, A. Higuchi, T. Takamura, R. T. Pinker, and T. Nakajima (2011), Estimation of solar radiation using a neural network based on radiative transfer, J. Geophys. Res., 116, D08215, doi:10.1029/2009JD013337.
van de Hulst, H. C. (1980), Multiple Light Scattering: Tables, Formulas and Applications, New York: Academic Press.
West, R, D. Crisp, and L. Chen (1990), Mapping transformations for broadband atmospheric radiation calculations, J. Quant. Spectrosc. Radiat. Transfer, 43, 191–199.
Wiscombe, W. J., and J. W. Evans (1977), Exponential-sum fitting of radiative transmission functions, J. Comp. Phys., 24, 416–444, doi:10.1016/0021-9991(77)90031-6.
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Natraj, V. (2013). A review of fast radiative transfer techniques. In: Kokhanovsky, A. (eds) Light Scattering Reviews 8. Springer Praxis Books(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32106-1_10
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