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In this paper, a new scheme, which is more precise in comparison with the previous ones in dealing with diffusivity factor is presented. The new scheme and the previous ones are applied to a radiative transfer model to calculate the atmospheric heating rate. The results show that the new scheme is generally better than previous ones, especially in the upper atmosphere al a height of more than 45 km.
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Keywords:
- diffusivity factor /
- exponential integral /
- heating rate
[1] Liang Z C, Jin Y Q 2002 Acta Phys. Sin. 51 2239 (in Chinese) [梁子长、金亚秋2002 51 2239]
[2] Liang Z C, Jin Y Q 2003 Acta Phys. Sin. 52 247 (in Chinese) [梁子长、金亚秋2002 52 247]
[3] Duan M Z, Guo X 2009 Acta Phys. Sin. 58 1353 (in Chinese) [段民征、郭霞 2009 58 1353]
[4] Han Y, Wang T J, Rao R Z, Wang Y J 2008 Acta Phys. Sin. 57 7396 (in Chinese) [韩永、王体健、饶瑞中、王英俭 2008 57 7396]
[5] Zuo H Y, Yang J G 2007 Acta Phys. Sin. 56 6132 (in Chinese) [左浩毅 杨经国 2007 56 6132]
[6] Du H D, Huang S X, Shi H Q 2008 Acta Phys. Sin. 57 7685 (in Chinese) [杜华栋、黄思训、石汉青 2008 57 7685]
[7] Goody R M, Yung Y L 1989 Atmospheric radiation: theoretical basis (Oxford: Oxford University Press) p49
[8] Rodgers C D, Walshaw C D 1966 Quart. J. Roy. Met. Soc. 92 67
[9] Shi G Y 1984 Sci. China Ser. B 24 378 (in Chinese) [石广玉 1984 中国科学B 24 378]
[10] Xu L, Shi G Y 1985 Adv. Atoms. Sci. 2 531
[11] Shi G Y, Qu Y N 1985 Chin. Sci. Bull. 24 1887 (in Chinese) [石广玉、曲燕妮 1985科学通报 24 1887]
[12] Zhang H, Shi G Y 2001 J. Quant. Spectro.Radia. Trans. 70 367
[13] McClatchey R A, Fenn R W, Selby J E A, Volz F E, Garing J S 1972 Optical Properties of the Atmosphere 3rd edn (AFCRL-72-0497,Air Force Geophysics Laboratory, Hanscom AFB, Massachusetts).
[14] Zhang H, Nakajima T, Shi G Y, Suzuki T, Imasu R 2003 J. Geophys. Res. 108 4641
[15] Zhang H, Shi G Y, Nakajima T, Suzuki T 2006 J. Quant. Spectro. Radia. Trans. 98 31
[16] Zhang H, Suzuki T, Nakajima T, Shi G Y, Zhang X Y, Liu Y 2006 Opt. Eng. 45 016002
[17] Shen Z P, Zhang H 2009 Acta Energiae Sol. Sin. 30 1389 (in Chinese) [沈钟平、张 华 2009 太阳能学报 30 1389 ]
[18] Nakajima T, Tsukamoto M, Tsushima Y, Numaguti A, Kimura T 2000 Appl. Opt. 39 4869
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[1] Liang Z C, Jin Y Q 2002 Acta Phys. Sin. 51 2239 (in Chinese) [梁子长、金亚秋2002 51 2239]
[2] Liang Z C, Jin Y Q 2003 Acta Phys. Sin. 52 247 (in Chinese) [梁子长、金亚秋2002 52 247]
[3] Duan M Z, Guo X 2009 Acta Phys. Sin. 58 1353 (in Chinese) [段民征、郭霞 2009 58 1353]
[4] Han Y, Wang T J, Rao R Z, Wang Y J 2008 Acta Phys. Sin. 57 7396 (in Chinese) [韩永、王体健、饶瑞中、王英俭 2008 57 7396]
[5] Zuo H Y, Yang J G 2007 Acta Phys. Sin. 56 6132 (in Chinese) [左浩毅 杨经国 2007 56 6132]
[6] Du H D, Huang S X, Shi H Q 2008 Acta Phys. Sin. 57 7685 (in Chinese) [杜华栋、黄思训、石汉青 2008 57 7685]
[7] Goody R M, Yung Y L 1989 Atmospheric radiation: theoretical basis (Oxford: Oxford University Press) p49
[8] Rodgers C D, Walshaw C D 1966 Quart. J. Roy. Met. Soc. 92 67
[9] Shi G Y 1984 Sci. China Ser. B 24 378 (in Chinese) [石广玉 1984 中国科学B 24 378]
[10] Xu L, Shi G Y 1985 Adv. Atoms. Sci. 2 531
[11] Shi G Y, Qu Y N 1985 Chin. Sci. Bull. 24 1887 (in Chinese) [石广玉、曲燕妮 1985科学通报 24 1887]
[12] Zhang H, Shi G Y 2001 J. Quant. Spectro.Radia. Trans. 70 367
[13] McClatchey R A, Fenn R W, Selby J E A, Volz F E, Garing J S 1972 Optical Properties of the Atmosphere 3rd edn (AFCRL-72-0497,Air Force Geophysics Laboratory, Hanscom AFB, Massachusetts).
[14] Zhang H, Nakajima T, Shi G Y, Suzuki T, Imasu R 2003 J. Geophys. Res. 108 4641
[15] Zhang H, Shi G Y, Nakajima T, Suzuki T 2006 J. Quant. Spectro. Radia. Trans. 98 31
[16] Zhang H, Suzuki T, Nakajima T, Shi G Y, Zhang X Y, Liu Y 2006 Opt. Eng. 45 016002
[17] Shen Z P, Zhang H 2009 Acta Energiae Sol. Sin. 30 1389 (in Chinese) [沈钟平、张 华 2009 太阳能学报 30 1389 ]
[18] Nakajima T, Tsukamoto M, Tsushima Y, Numaguti A, Kimura T 2000 Appl. Opt. 39 4869
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