Improved method of exponential sum fitting of transmissions to describe the absorption of atmospheric gases

Applied Optics

Volumn 35, Issue 12, 1996, Pages 1931-1941

  Armbruster, Wolfgang ^a   Fischer, Jürgen ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Absorption of atmospheric gases; Exponential sum fitting of transmissions; Radiative transfer; Transmission functions; Transmission in absorbing atmospheres

Indexed keywords

ABSORPTION; APPROXIMATION THEORY; COMPUTER SIMULATION; DATABASE SYSTEMS; GASES; PRESSURE EFFECTS; SOLAR RADIATION; THERMAL EFFECTS; VAPORS; WATER;

ATMOSPHERIC GAS ABSORPTION; ERROR FUNCTION; EXPONENTIAL SUM FITTING OF TRANSMISSIONS; ROOT MEAN SQUARE ERROR; WATER VAPOR;

ATMOSPHERIC RADIATION;

EID: 0030124937     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.35.001931     Document Type: Article

References (24)

1. G. L. Stephens and S.-C. Tsay, On the cloud absorption anomaly, Q. J. R. Meteorol. Soc. 116, 671-704 (1990).
2. N. A. Scott, A direct method of computation of the transmission function of an inhomogeneous gaseous medium-I: Description of the method, J. Quant. Spectrosc. Radiat. Transfer 14, 691-704 (1974).
3. M. D. Chou, “Monochromatic calculations of atmospheric radiative transfer due to molecular line absorption, J. Geo-phys. Res. 91, 4047-4055 (1986).
4. H.-D. Hollweg, “Strahlungsübertragung in klaren Atmosphären im IR mit k-Vertei-lungs- und Linie-fdr-Linie Modellen, Ph.D. dissertation (Fachbereich Geowissenschaften der Universität Hamburg, Hamburg, Germany, 1990).
5. M. D. Chou and A. Arking, An efficient method for computing the absorption of solar radiation by water vapor, J. Atmos. Sci. 38, 798-807 (1981).
6. W. J. Wiscombe and J. W. Evans, “Exponential sum fitting of radiative transmission functions, J. Comput. Phys. 24, 415-444 (1977).
7. S. Asano and A. Uchiyama, “Application of an extended ESFT method to calculation of solar heating rates by water vapour absorption, J. Quant. Spectrosc. Radiat. Transfer 38, 147-158 (1987).
8. E. Raschke and U. Stuke, “Approximations of band transmission functions by finite sums of exponentials, ” Beitr. Phys. Atmos. 46, 203-212 (1973).
9. A. Lacis and J. E. Hansen, A parametrization for the absorption of solar radiation in the Earth’s atmosphere, J. Atmos. Sci. 31, 118-132 (1974).
10. K. N. Liou and T. Sasamori, On the transfer of solar radiation in aerosol atmospheres, ” J. Atmos. Sci. 32, 2166-2177 (1975).
11. M. Kerschgens, E. Raschke, and U. Reuter, The absorption of solar radiation in model atmospheres, Beitr. Phys. Atmos. 49, 81-97 (1976).
12. G. L. Stephens, Radiation profiles in extended water clouds, J. Atmos. Sci. 35, 2111-2122 (1978).
13. M. D. Chou, “Atmospheric solar heating rate in water vapor bands, J. Climate Appl. Meteorol. 25, 1532-1542 (1986).
14. J. Hansen, G. Russel, D. Rind, P. Stone, A. Lacis, S. Lebedeff, R. Ruedy, and L. Travis, “Efficient three-dimensional global models for climate studies: models I and II, Mon. Weather Rev. 111, 609-662 (1983).
15. K. N. Liou, Radiation and Cloud Processes in the Atmosphere (Oxford University, New York, 1992).
16. J. Fischer and H. Grassl, Detection of cloud-top height from backscattered radiances within the oxygen A band. Part 1: Theoretical study, J. Appl. Meteorol. 30, 1245-1259 (1991).
17. L. S. Rothman, R. R. Gamache, A. Goldman, L. R. Brown, R. A. Toth, H. M. Pickett, R. L. Poynter, J.-M. Flaud, C. Camy-Peyret, A. Barbe, N. Husson, C. P. Rinsland, and M. A. H. Smith, The hitran database: 1986 edition, Appl. Opt. 26, 4058-4097 (1987).
18. L. S. Rothman, R. R. Gamache, R. H. Tipping, C. P. Rinsland, M. A. H. Smith, D. C. Benner, V. M. Deori, J.-M. Flaud, C. Camy-Peyret, A. Perrin, A. Goldman, S. T. Massie, L. R. Brown, and R. A. Toth, The HITRAN molecular database: editions of 1991 and 1992, J. Quant. Spectrosc. Radiat. Transfer 48, 469-507 (1992).
19. I. N. Bronstein and K. A. Semendjajew, Taschenbuch der Mathematik (Harri Deutsch, Frankfurt, Germany, 1981).
20. J. A. Nelder and R. Mead, A simplex method for function minimization, Comput. J. 7, 308-313 (1964).
21. Simplex Routine by the NAG Library, Silicon Graphics: M01ANF, X04AAF, P01AAF, E04CCF, MONIT (NAG GmbH, Garching, Germany).
22. R. A. McClatchey, W. Fenn, J. E. A. Selby, F. E. Volz, and J. S. Garing, Optical properties of the atmosphere, AFCRL-TR-73-0096 (U.S. Air Force Cambridge Research Laboratory, Cambridge, Mass., 1973).
23. R. M. Goody and Y. L. Yung, Atmospheric Radiation (Oxford University, New York, 1989).
24. H. Haken and H. C. Wolf, Atom- und Quantenphysik (SpringerVerlag, Berlin, 1983).