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Analytical Method of Inverse Problem Solution for Cloudy Atmospheres

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Short-Wave Solar Radiation in the Earth’s Atmosphere
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References

  • Boucher O (1998) On aerosol direct forcing and the Henyey-Greenstein phase function. J Atmos Sci 55:128–134

    Article  Google Scholar 

  • Demyanikov AI, Melnikova IN (1986) On the applicability region determination for asymptotic formulas of monochromatic radiation transfer theory. Izv Acad Sci USSR. Atmosphere and Ocean Physics 22:652–655 (Bilingual)

    Google Scholar 

  • Dlugach JM, Yanovitskij EG (1974) The optical properties of Venus and Jovian planets. II. Methods and results of calculations of the intensity of radiation diffusely reflected from semi-infinite homogeneous atmospheres. Icarus 22:66–81

    Article  Google Scholar 

  • Duracz T, McCormick NJ (1986) Equation for Estimating the Similarity Parameter from Radiation Measurements within Weakly Absorbing Optically Thick Clouds. J Atmos Sci 43:486–492

    Article  Google Scholar 

  • Galinsky VL, Ramanathan V (1998) 3D Radiative transfer in weakly inhomogeneous medium. Part I: Diffusive approximation. J Atmos Sci 55:2946–2955

    Article  Google Scholar 

  • Garret T, Hobbs PV, Gerber H (2001) Shortwave, single scattering properties of arctic ice clouds. J Geoph Res 106(D14):15155–15172

    Article  Google Scholar 

  • Gerber H, Takano Y, Garret T, Hobbs PV (2000) Nephelometer measurements of the asymmetry parameter, volume extinction coefficient, and backscatter ratio in arctic clouds. J Atmos Sci 57:2320–2344

    Article  Google Scholar 

  • Germogenova TA, Konovalov NV, Lukashevitch NL, Feigelson EM (1977) Improval of the interpretation of optical observations from the board of automatic interspace station “Venera-8”. Cosmic studies, XV:Iss 5. (in Russian)

    Google Scholar 

  • Ivanov VV (1976) Radiative transfer in multi-layered optically thick atmosphere. Studies of the Astronomical Observatory (Mathematical Sci) Leningrad 32:3–23 (in Russian)

    Google Scholar 

  • King MD (1983) Number of terms required in the Fourier expansion of the reflection function for optically thick atmospheres. J Quant Spectrosc Radiat Transfer 30:143–161

    Article  Google Scholar 

  • King MD (1987) Determination of the scaled optical thickness of cloud from reflected solar radiation measurements. J Atmos Sci 44:1734–1751

    Article  Google Scholar 

  • King MD (1993) Radiative properties of clouds. In: Hobbs V (ed) Aerosol-cloud-climate interactions. Academic Press, New York, pp 123–149

    Google Scholar 

  • King MD, Radke L, Hobbs PV (1990) Determination of the spectral absorption of solar radiation by marine stratocumulus clouds from airborne measurements within clouds. J Atmos Sci 47:894–907

    Article  Google Scholar 

  • Kokhanovsky A (1998) Variability of the phase function of atmospheric aerosols at large scattering angles. J Atmos Sci 55:314–320

    Article  Google Scholar 

  • Kokhanovsky A, Nakajima T, Zege E (1998) Physically based parameterizations of the short-wave radiative characteristics of weakly absorbing optically media: application to liquid-water clouds. Appl Opt 37:335–342

    Google Scholar 

  • Kokhanovsky AA, Rozanov VV, Zege EP, Bovensmann H, Burrows JP (2003) A semianalytical cloud retrieval algorithm using backscattered radiation in 0.4–2.4 µm spectral region. J Geophys Res 108(D1,4008,doi:10.1029/2001JD001543)

    Google Scholar 

  • Konovalov NV (1982) Asymptotic properties of the transfer equation solution in planeparallel layers. PhD Thesis, (KIAM) RAS, Moscow (in Russian)

    Google Scholar 

  • Konovalov NV (1997) Certain properties of the reflection function of optically dense layers. Preprint of Keldysh Institute for Applied Mathematics (KIAM) RAS, Moscow (in Russian)

    Google Scholar 

  • Konovalov NV, Lukashevitch NL (1981) The inverse problem of the interpretation of optical observations within the Venus atmosphere from the station “Venera-10”. Preprint of Keldysh Institute for Applied Mathematics (KIAM) RAS, Iss 15 Moscow (in Russian)

    Google Scholar 

  • Loeb NG, Davies R (1997) Angular dependence of observed reflectance: a comparison with plane parallel theory. J Geophys Res 102:6865–6881

    Article  Google Scholar 

  • Marshak A, Davis A, Wiscomb W, Cahalan R (1998) Radiative effects of sub-mean free path liquid water variability observed in stratiform clouds. J Geoph Res 103(D16):19557–19567

    Article  Google Scholar 

  • McCormick NJ, Leathers RA (1996) Radiative Transfer in the Near-Asymptotic Regime. In: IRS’ 96: Current Problems in Atmospheric Radiation:826–829

    Google Scholar 

  • Melnikova IN (1991) Spectral coefficients of scattering and absorption in strati clouds. Atmospheric Optics 4:25–32 (Bilingual)

    Google Scholar 

  • Melnikova IN (1992a) Analytical formulas for obtaining optical parameters of cloud layer from measured characteristics of solar radiation field. I. Theory. Atmosphere and Ocean Optics 5:169–177 (Bilingual)

    Google Scholar 

  • Melnikova IN (1998) Vertical profile of spectral scattering and absorption coefficients of stratus clouds. I. Theory. Atmospheric and Ocean Optics 11:5–11 (Bilingual)

    Google Scholar 

  • Melnikova IN, Minin IN (1977) To the transfer theory of monochromatic radiation in cloud layers. Izv Acad Sci USSR Atmosphere and Ocean Physics 13:254–263 (Bilingual)

    Google Scholar 

  • Melnikova IN, Mikhailov VV (1993) Obtaining of optical characteristics of cloud layers. Doklady of Russian Academy of Sciences 328:319–321 (Bilingual)

    Google Scholar 

  • Melnikova IN, Mikhailov VV (1994) Spectral scattering and absorption coefficients in strati derived from aircraft measurements. J Atmos Sci 51:925–931

    Article  Google Scholar 

  • Melnikova IN, Fedorova EYu (1996) Vertical profile of optical parameters inside cloud layer. In: Problems of Atmospheric Physics, St. Petersburg State University Press, St. Petersburg 6:261–272 (in Russian)

    Google Scholar 

  • Melnikova IN, Zshanabaeva SS (1996) Evaluation of uncertainty of approximate methodology of accounting the vertical stratus structure in direct and inverse problems of atmospheric optics. International Aerosol Conference, December, Moscow (in Russian)

    Google Scholar 

  • Melnikova IN, Zshanabaeva SS (1996) Exactness of method for calculation of solar irradiances in vertical inhomogeneous scattering layers. Intern Symp “Geokosmos”, June, St. Petersburg (in Russian)

    Google Scholar 

  • Melnikova IN, Domnin PI (1997) Determination of optical parameters of homogeneous optically thick cloud layer. Atmosphere and Ocean Optics 10:734–740 (Bilingual)

    Google Scholar 

  • Melnikova IN, Nakajima T (2000) Single scattering albedo and optical thickness of stratus clouds obtained from “POLDER” measurements of reflected radiation. Earth Observations and Remote Sensing 3:1–16 (Bilingual)

    Google Scholar 

  • Melnikova IN, Solovjeva SV (2000) Solution of direct and inverse problem in case of cloud layers of arbitrary optical thickness and quasi-conservative scattering. In: Ivlev LS (ed) Natural and anthropogenic aerosols, St. Petersburg, pp 86–90 (in Russian)

    Google Scholar 

  • Melnikova IN, Mikhailov VV (2001) Vertical profiles of stratus clouds spectral optical parameters derived from airborne radiation measurements. J Geophys Res 106(D21):27465–27471

    Article  Google Scholar 

  • Melnikova IN, Domnin PI, Radionov VF (1998) Retrieval of optical thickness and single scattering albedo from measurements of reflected or transmitted solar radiation. Izv RAS Atmosphere and Ocean Physics 34:669–676 (Bilingual)

    Google Scholar 

  • Melnikova IN, Dlugach ZhM, Nakajima T, Kawamoto K (2000) On reflected function calculation simplification in case of cloud layers. Appl Optics 39:541–551

    Google Scholar 

  • Melnikova IN, Domnin PI, Radionov VF, Mikhailov VV (2000) Optical characteristics of clouds derived from measurements of reflected or transmitted solar radiation. J Atmos Sci 57:623–630

    Article  Google Scholar 

  • Minin IN (1988) The theory of the radiation transfer in the planets atmospheres. Nauka, Moscow (in Russian)

    Google Scholar 

  • Minin IN, Tarabukhina IM (1990) To studying of optical properties of the Venus atmosphere (Bilingual). Izv Acad Sci USSR Atmosphere and Ocean Physics 26:837–840

    Google Scholar 

  • Prasolov AV (1995) Analytical and numerical methods of dynamic processes studying. St. Petersburg State University Press, St. Petersburg (in Russian)

    Google Scholar 

  • Rozenberg GV, Malkevitch MS, Malkova VS, Syachinov VI (1974) Determination of the optical characteristics of clouds from measurements of reflected solar radiation on the Kosmos-320 satellite. Izv. Acad. Sci. USSR. Atmosphere and Ocean Physics 10:14–24 (in Russian)

    Google Scholar 

  • Stephens GL (1979) Optical properties of eight water cloud types. Technical Paper of CSIRO, Atmos Phys Division, Aspendale, Australia, No. 36:1–35

    Google Scholar 

  • Tarabukhina IM (1987) On the reflection and transmission of light by a horizontally inhomogeneous optically thick layer. Izv RAS, Atmosphere and Ocean Physics 23:148–155 (Bilingual)

    Google Scholar 

  • Titov GA (1998) Radiative horizontal transport and absorption in stratocumulus clouds. J Atmos Sci 55:549–2560

    Article  Google Scholar 

  • Ustinov EA (1977) The inverse problem of the multiple scattering theory and interpretation of the diffused radiation observations within the Venus atmosphere. Space Studies 15:768–775 (in Russian)

    Google Scholar 

  • Van de Hulst HC (1980) Multiple Light Scattering. Tables, Formulas and Applications, Vol. 1 and 2. Academic Press, New York

    Google Scholar 

  • Yanovitskij EG (1972) Spherical albedo of planet atmosphere. Astronomical J 49:844–849 (in Russian)

    Google Scholar 

  • Yanovitskij EG (1997) Light scattering in inhomogeneous atmospheres. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Zege EP, Kokhanovsky AA (1994) Analytical solution for optical transfer function of a light scattering medium with large particles. Applied Optics 33:6547–6554

    Google Scholar 

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(2005). Analytical Method of Inverse Problem Solution for Cloudy Atmospheres. In: Short-Wave Solar Radiation in the Earth’s Atmosphere. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26692-5_6

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