First geometrical path length probability density function derivation of the skylight from high-resolution oxygen A-band spectroscopy 2. Derivation of the Lévy index for the skylight transmitted by midlatitude clouds

Journal of Geophysical Research Atmospheres

Volumn 104, Issue D4, 1999, Pages 4101-4116

  Pfeilsticker, K ^a  

^a UNIVERSITY OF HEIDELBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ABSORPTION; ATMOSPHERIC DYNAMICS; CLOUD COVER; DETECTION METHOD; RADIATIVE TRANSFER; SOLAR RADIATION;

EID: 0033608484     PISSN: 01480227     EISSN: None     Source Type: Journal    
DOI: 10.1029/1998JD200081     Document Type: Article

References (59)

1. Arking, A., Absorption of solar energy in the atmosphere: Discrepancy between model and observation, Science, 273, 779-782, 1996.
2. Arking, A., M.D. Chou, and W.L. Ridgway, The accuracy of short-wave radiative transfer codes in climate models, in IRS96: Current Problems in Atmospheric Radiation, edited by W.L. Smith, and P. Stamnes, pp. 257-259, Deepak, Hampton, Va, 1998.
3. Ben-Avraham, D., and S. Havlin, Diffusion on percolation clusters at criticality, J. Phys. A: Math. Gen., 15, L691-L697, 1982.
4. Borde, R., and H. Isaka, Radiative transfer in multifractal clouds, J. Geophys. Res., 101, 29,461-29,478, 1996.
5. Byrne, R.N., R.C.J. Sommerville, and B. Subasilar, Broken-cloud enhancement of solar radiation absorption, J. Atmos. Sci., 53, 878-886, 1996.
6. Cahalan, F.R, Nearest neighbor spacing distribution of cumulus clouds, in Proceedings of third International Conference on Statistical Climatology, pp. 212-217, IAEA, Vienna, June 23-27, 1986.
7. Cahalan, R.F., W. Ridgway, W.J. Wiscombe, T.L. Bell, and J.B. Snider, The albedo of fractal stratocumulus clouds, J. Atmos. Sci., 51, (16), 2434-2455, 1994a.
8. Cahalan, R.F., W. Ridgway, W.J. Wiscombe, S. Gollmer, and H. Harshvardhan, Independent Pixel and Monte Carlo Estimates of Stratocumulus Albedo, J. Atmos. Sci., 51, (24), 3776-3790, 1994b.
9. Cess, R.D., et al., Absorption of solar radiation by clouds: Observations versus models, Science, 267, 496-499, 1995.
10. Danne, O., M. Quante, and E. Raschke, Sampling strategies for ground-based and airborne 94/95 GHz Cloud Radars, in Proceedings of the 27th Conference on Radar Meteorology, Oct. 9-13, pp. 127-130, Am. Meteteorol. Soc., Boston, Mass., 1995.
11. Davies, R., The effect of finite geometry on the three dimensional transfer of solar radiation in clouds, J. Atmos. Sci., 35, 1712-1725, 1978.
12. Davis, A., and A. Marshak, Lévy kinetics in slab geometry: Scaling of transmission probability, in Fractal Frontiers, edited by M.M. Novak, and T.G. Dewey, pp. 63-72, World Sci. River Edge, N.J., 1997.
13. Davis, A., A. Marshak, W. Wiscombe, and R.F. Cahalan, Mutifractal characterizations of nonstationary and intermittency in geophysical fields: Observed, retrieved, or simulated, J. Geophys. Res., 99, 8055-8072, 1994.
14. Davis, A., A. Marshak, R.F. Cahalan, and W. Wiscombe, The Landsat scale break in stratocumulus as a three-dimensional radiative transfer effect, implications for cloud remote sensing, J. Atmos. Sci., 54, 241-260, 1997.
15. Davis, A., A. Marshak, W. Wiscombe, and R. F. Cahalan, Evidence for net horizontal radiative flux in marine stratocummulus clouds, in in IRS96: Current Problems in Atmospheric Radiation, edited by W.L. Smith and P. Stamnes, pp. 811-814, A. Deepak, Hampton, Va, 1998a.
16. Davis, A., A. Marshak, G. Gerber, W. J. Wiscombe, Horizontal structure of marine boundary-layer clouds from cm- to km scales, J. Geophys. Res., (in press), 1998b.
17. Feigelson, M.E., Radiation in a Cloudy Atmosphere, Norwell, Mass., Boston, 1981.
18. Fouquart, Y., J.C. Buriez, M. Herman, and R.S. Kandel, The influence of clouds on radiation: A climate-modeling perspective, Rev. of Geophysics, 28, 145-166, 1990.
19. Frank, H., and U. Platt, Advanced calculation procedures for the interpretation of skylight measurements, paper presented at the first European Workshop on Polar Stratospheric Ozone, Schliersee, Bavaria, Germany, 1990.
20. Frisch, U., and H. Frisch, Universality of escape from half space for symmetrical random walks, in Lévy Flights and Related Topics in Physics, Parti edited by M.F. Shlesinger, G.M. Zaslavsky, and U. Frisch, pp. 262-268 Springer-Verlag, New York, Part1, 1995.
21. Gerber, H., Direct measurement of suspended particulate volume concentration and far-infrared extinction coefficient with a laser-diffraction instrument, Appl. Opt., 30, 4824-4831, 1991.
22. Joseph, J.H., and R.F. Cahalan, Nearest Neighbor Spacing of fair weather cumulus clouds, J. Appl. Meteorol., 29, 793-805, 1990.
23. King, M.D., A method for determining the single-scattering albedo of clouds through observation of the internal scattered radiation field, J. Atmos. Sci., 38, 2031-2044, 1981.
24. King, D.W., C.T. Maher, and G.A. Hepburn, Further performance tests on the CSIRO liquid water probe, J. Appl. Meteorol., 20, 195-202, 1981.
25. Loeb, N. G., and R. Davies, Angular dependence of observed reflectances: A comparison with plane parallel theory, J. Geophys. Res., 102, 6865-6881, 1997.
26. Loeb, N. G., T. Varnai, and R. Davies, Effects on cloud inhomogeneities on the solar zenith angle dependence of nadir reflectance, J. Geophys. Res., 102, 9387-9395, 1997.
27. Lovejoy, S., Area-perimeter relation for rain and cloud areas, Science, 216, 185-187, 1982.
28. Lovejoy, S., and B.B. Mandelbrot, Fractal properties of rain and a fractal model, Tellus, 37A, 209-232, 1985.
29. Lovejoy, S., A. Davis, P. Gabriel, D. Schertzer, and G. L. Austin, Discrete angle radiative transfer, 1. Scaling and similarity, universality and diffusion, J. Geophys. Res., 95, 11,699-11,715, 1990.
30. Mandelbrot, B.B., The Fractal Geometry of Nature, W.H. Freeman and Company, New York, 1977.
31. Mandelbrot, B.B., Comment on the equivalence between Fracton/Spectral dimensionality, and the dimensionality of recurrence, J. Statistical Physics, 36, (5/6), 541-543, 1984.
32. Marshak, A., A. Davis, R. Cahalan, and W. Wiscombe, Bounded cascade models as non stationary multifractals, Phys. Rev. E, 49, 55-69, 1994.
33. Marshak, A., A. Davis, W. Wiscombe, and R. Cahalan, Radiative smoothing in fractal clouds, J. Geophys. Res., 100, 26,247-26,261, 1995.
34. Marshak, A., A. Davis, W. Wiscombe, and R. Cahalan, Inhomogeneity effects on cloud shortwave absorption measurements: Two aircraft simulations, J. Geophys. Res., 102, 16,619-16,637, 1997.
35. Marshak, A., A. Davis, W. Wiscombe, and R. Cahalan, Radiative effects of sub-mean free path liquid water variability in stratiform cloud, J. Geophys. Res., 103, 19,557-19,567, 1998.
36. 3 tracer spectra in the stratospheric surf zone, J. Geophys. Res., 102, 24,001-24,004, 1997.
37. O'Hirok, W., and C. Gautier, Modeling enhanced atmospheric absorption by clouds, in IRS96: Current Problems in Atmospheric Radiation, edited by W.L. Smith and P. Stamnes, pp. 132-135, A. Deepak, Hampton, Va, 1998.
38. Paltrige, G.W., Atmospheric radiation and the gross character of stratiform clouds, J. Atmos. Sci., 31, 244-250, 1974a.
39. Paltrige, G.W., Global cloud cover and Earth surface temperature, J. Atmos. Sci., 31, 1571-1576, 1974b.
40. Pfeilsticker, K., F. Erle, O. Funk, H. Veitel, and U. Platt, First geometrical path lengths probability density function derivation of the skylight from spectroscopically highly resolving oxygen A-band observations. 1. Measurement technique, atmospheric observations, and model calculations, J. Geophys. Res., 103, 11,483-11,504, 1998a.
41. Pfeilsticker, K., F. Erle, O. Funk, L. Marquard, T. Wagner, and U. Platt, Optical path modifications due to tropospheric clouds: Implications for zenith sky measurements of stratospheric gases, J. Geophys. Res., 103, 25,323-25,335, 1998b.
42. Pilewskie, P., and F.P.J. Valero, Direct observations of excess solar absorption by clouds, Science, 267, 1626-1629, 1995.
43. Plank, G.W., The size distribution of cumulus clouds in representive Florida populations, J. Appl. Meteorol., 8, 46-67, 1969.
44. Platt, U., Differential Optical Absorption Spectroscopy (DOAS), Air Monitoring by Spectroscopic Techniques, Chem. Anal. Ser. vol., 127, edited by M. Siegrist, pp. 27 - 84, John Wiley, New York, 1994.
45. Podgorny, I.A., A.M. Vogelmann, and V. Ramanathan, Effects of cloud shape and water vapor distribution on solar absorption in the near infrared, Geophys. Res. Lett., 25, 1899-1902, 1998.
46. Quante, M., O. Danne, E. Raschke, I. Popstefanijia, and A. Razmany, Observation of cloud structure with a 3.2 mm-wave radar, in Proceedings of the 12th International Conference on Clouds and Precipitation, Vol. 1, 424-427, ICCP, Zuerich 1996.
47. Ramanathan V., B. Subasilar, G. J. Zhang, W. Conant, R.D. Cess, J.T. Kiehl, H. Grassl, and L. Shi, Warm pool heat budget and shortwave cloud forcing: A missing Physics ?, Science, 267, 499-503, 1995.
48. Rainmal, R., and G. Toulouse, Random walks on fractal structures and percolation clusters, J. Phys. Lett., 44, L13-L22, 1983.
49. Samorodnitsky, G., and M.S. Taqqu, Stable Non-Gaussian Random Process, pp. 2-49 and pp. 309-349, Chapman and Hall, New York, 1994.
50. Shlesinger, M.F., G.M. Zaslavsky, and J. Klafter, Strange kinetics, Nature, 363, 31-37, 1993.
51. Shlesinger, M.F., G.M. Zaslavsky, and U. Frisch, Lévy Flights and Related Topics in Physics, Springer Verlag, New York, 1995.
52. Stamnes, K., S.C. Tsay, W. Wiscombe, and K. Jayaweera, Numerically stable algorithm for discrete-ordinate-method radiative transfer multiple scattering and emitting layered media, J. Appl. Opt., 27, 2502-2521, 1988.
53. Stephens, G.L., Optical properties of eight water cloud types; Tech. Pap. 36, Div. of Atmos. Phys., Commonw. Sci. and Ind. Res. Org., Melbourne, 1979.
54. Stephens, G.L., and S.C. Tsay, On the cloud absorption anomaly, Q. J. R. Meteorol. Soc., 116, 671-686, 1990.
55. -β power spectrum and stable distribution, J. Phys. Soc. Jap., 56, 1257-1260, 1987.
56. Takayasu, H., Fractals in the Physical Sciences, Manchester Univ. Press, Manchester, England 1990.
57. Van de Hulst, H.C., Multiple Light Scattering, Vols. 1 and 2, Academic, San Diego, Calif., 1980.
58. Veitel, V., O. Funk, C. Kurz, U. Platt, and K. Pfeilsticker, Geometrical path length probability density function of the skylight transmitted by mid latitude cloudy skies; Some case studies, Geophys. Res. Lett, 25, 3355-3358, 1998.
59. Wild, M., A. Ohmura, H. Gilgen, and E. Roeckner, Validation of general circulation model radiative fluxes using surface observations, J. Climate, 8, 1309-1324, 1995.