Improved algorithm for calculations of Rayleigh-scattering optical depth in standard atmospheres

Applied Optics

Volumn 44, Issue 16, 2005, Pages 3320-3341

  Tomasi, Claudio ^a   Vitale, Vito ^a   Petkov, Boyan ^a   Lupi, Angelo ^a   Cacciari, Alessandra ^a  

^a INSTITUTE OF ATMOSPHERIC SCIENCES AND CLIMATE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ATMOSPHERIC AEROSOLS; ATMOSPHERIC COMPOSITION; ATMOSPHERIC OPTICS; CARBON DIOXIDE; CLIMATE CHANGE; EARTH ATMOSPHERE; REFRACTIVE INDEX;

AEROSOL INDUCED CLIMATIC EFFECTS; AEROSOL OPTICAL DEPTH (AOD); DEPOLARIZATION FACTOR; MOLECULAR SCATTERING;

RAYLEIGH SCATTERING;

EID: 20544431545     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.44.003320     Document Type: Article

References (65)

1. A. T. Young, quot;Revised depolarization corrections for atmospheric extinction,quot; Appl. Opt. 19, 3427-3428 (1980).
2. A. T. Young, quot;Rayleigh scattering,quot; Appl. Opt. 20, 533-535 (1981).
3. R. Penndorf, quot;Tables of the refractive index for standard air and the Rayleigh scattering coefficient for the spectral region between 0.2 and 20.0 μ and their application to atmospheric optics,quot; J. Opt. Soc. Am. 47, 176-182 (1957).
4. A. Bucholtz, quot;Rayleigh-scattering calculations for the terrestrial atmosphere,quot; Appl. Opt. 34, 2765-2773 (1995).
5. B. A. Bodhaine, N. B. Wood, E. G. Dutton, and J. R. Slusser, quot;On Rayleigh optical depth calculations,quot; J. Atmos. Oceanic Technol. 16, 1854-1861 (1999).
6. G. E. Shaw, quot;Atmospheric turbidity in the polar regions,quot; J. Appl. Meteorol. 21, 1080-1088 (1982).
7. E. G. Dutton and J. R. Christy, quot;Solar radiative forcing at selected locations and evidence for global lower tropospheric cooling following the eruptions of El Chichón and Pinatubo,quot; Geophys. Res. Lett. 19, 2313-2316 (1992).
8. A. Smirnov, B. N. Kolben, O. Dubovik, N. T. O'Neill, L. A. Remer, T. F. Eck, I. Slutsker, and D. Savoie, quot;Measurement of atmospheric optical parameters on U.S. Atlantic coast sites, ships, and Bermuda during TARFOX,quot; J. Geophys. Res. 105, 9887-9901 (2000).
9. A. Cacciari, C. Tomasi, A. Lupi, V. Vitale, and S. Marani, quot;Radiative forcing effects by aerosol particles in Antarctica,quot; in Eighth Workshop Italian Research on Antarctic Atmosphere, M. Colacino and G. Giovanelli, eds. (Societa Italiana di Fisica, Bologna, Italy, 2000), Vol. 69, pp. 455-467.
10. R. Stone, quot;Monitoring aerosol optical depth at Barrow, Alaska and South Pole; historical overview, recent results and future goals,quot; in Ninth Workshop Italian Research on Antarctic Atmosphere, M. Colacino, ed. (Societa Italiana di Fisica, Bologna, Italy, 2002), Vol. 80, pp. 123-144.
11. S. Chubachi, quot;Annual variation of total ozone at Syowa station, Antarctica,quot; in Atmospheric Ozone, Vol. I of the Proceedings of the XVIII Quadriennial Ozone Symposium, R. D. Bojkov and G. Visconti, eds. (L'Aquila, Italy, 1998), pp. 193-196.
12. 2 at polar latitudes in Eastern sector of the Arctic,quot; in Atmospheric Ozone, Vol. I of the Proceedings of the XVIII Quadrennial Ozone Symposium, R. D. Bojkov and G. Visconti, eds. (L'Aquila, Italy, 1998), pp. 201-204.
13. C. Tomasi, V. Vitale, M. Tagliazucca, and L. Gasperoni, quot;Infrared hygrometry measurements at Terra Nova Bay,quot; in Second Workshop Italian Research on Antarctic Atmosphere, M. Colacino, G. Giovanelli, and L. Stefanutti, eds. (Societa Italiana de Fiscia, Bologna, Italy, 1990), Vol. 27, pp. 187-200.
14. M. Iqbal, An Introduction to Solar Radiation (Academic, New York, 1983), pp. 85-168.
15. M. D. King, D. M. Byrne, J. A. Reagan, and B. M. Herman, quot;Spectral variations of optical depth at Tucson, Arizona between August 1975 and December 1977,quot; J. Appl. Meteorol. 19, 723-732 (1980).
16. M. Tanaka, T. Nakajima, and M. Shiobara, quot;Calibration of a sunphotometer by simultaneous measurements of direct-solar and circumsolar radiations,quot; Appl. Opt. 25, 1170-1176 (1986).
17. S. Solomon, A. Schmeltekopf, and R. W. Sanders, quot;On the interpretation of zenith sky absorption measurements,quot; J. Geophys. Res. 92, 8311-8319 (1987).
18. K. J. Thome, B. M. Herman, and J. A. Reagan, quot;Determination of precipitable water from solar transmission,quot; J. Appl. Meteorol. 31, 157-165 (1992).
19. N. Larsen, B. Knudsen, T. S. Jorgensen, A. di Sarra, D. Fuà, P. Di Girolamo, G. Fiocco, M. Cacciani, J. M. Rosen, and N. T. Kjome, quot;Backscatter measurements of stratospheric aerosols at Thule during January-February 1992,quot; Geophys. Res. Lett. 21, 1303-1306 (1994).
20. L. Elterman, quot;UV, visible and IR attenuation for altitudes to 50 km, 1968,quot; Environmental Research Papers, No. 285, AFCRL-68-0153 (U.S. Air Force Geophysics Laboratory, Hanscom Air Force Base, Mass., 1968).
21. D. V. Hoyt, quot;A redetermination of the Rayleigh optical depth and its application to selected solar radiation problems,quot; J. Appl. Meteorol. 16, 432-436 (1977).
22. C. Fröhlich and G. E. Shaw, quot;New determination of Rayleigh scattering in the terrestrial atmosphere,quot; Appl. Opt. 19, 1773-1775 (1980).
23. COESA Working Group, U.S. Standard Atmosphere, 1962, U.S. Committee on Extension of the Standard Atmosphere (U.S. Government Printing Office, Washington, D.C., 1962).
24. R. A. McClatchey, R. W. Fenn, J. E. A. Selby, F. E. Volz, and J. S. Garing, quot;Optical properties of the atmosphere,quot; 3rd ed., Environmental Research Papers, No. 411 AFCRL-72-0497 (U.S. Air Force Geophysics Laboratory, Hanscom Field, Mass., 1972).
25. G. P. Anderson, S. A. Clough, F. X. Kneizys, J. H. Chetwynd, and E. P. Shettle, quot;AFGL atmospheric constituent profiles (0-120 km)),quot; Environmental Research Papers, No. 954, AFGL-TR-86-0110 (U.S. Air Force Geophysics Laboratory, Hanscom Air Force Base, Mass., 1986).
26. COESA Working Group, U.S. Standard Atmosphere Supplements, 1966, U.S. Committee on Extension of the Standard Atmosphere (U.S. Government Printing Office, Washington, D.C., 1966).
27. P. M. Teillet, quot;Rayleigh optical depth comparisons from various sources,quot; Appl. Opt. 29, 1897-1900 (1990).
28. F.-M. Bréon, quot;Comment on Rayleigh-scattering calculations for the terrestrial atmosphere,quot; Appl. Opt. 37, 428-429 (1998).
29. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957), pp. 63-84.
30. E. J. McCartney, Optics of the Atmosphere, Scattering by Molecules and Particles (Wiley, New York, 1976), pp. 176-215.
31. L. V. King, quot;On the complex anisotropic molecule in relation to the dispersion and scattering of light,quot; Proc. R. Soc. London Ser. A 104, 333-357 (1923).
32. J. Cabannes, quot;Sur la diffusion de la lumière par les molécules des gaz transparents,quot; Ann. Phys. (Paris) 15, 5-150 (1921).
33. A. T. Young, quot;On the Rayleigh-scattering optical depth of the atmosphere,quot; J. Appl. Meteorol. 20, 328-330 (1981).
34. D. R. Bates, quot;Rayleigh scattering by air,quot; Planet. Space Sci. 32, 785-790 (1984).
35. B. Edlén, quot;The dispersion of standard air,quot; J. Opt. Soc. Am. 43, 339-344 (1953).
36. H. Barrell and J. E. Sears, quot;The refraction and dispersion of air for the visible spectrum,quot; Philos. Trans. R. Soc. London Ser. A 238, 1-64 (1939).
37. B. Edlén, quot;The refractive index of air,quot; Metrologia 2, 71-80 (1966).
38. K. E. Erickson, quot;Investigation of the invariance of atmospheric dispersion with a long-path interferometer,quot; J. Opt. Soc. Am. 52, 777-780 (1962).
39. J. C. Owens, quot;Optical refractive index of air: dependence on pressure, temperature, and composition,quot; Appl. Opt. 6, 51-59 (1967).
40. E. R. Peck and K. Reeder, quot;Dispersion of air,quot; J. Opt. Soc. Am. 62, 958-962 (1972).
41. F. E. Jones, quot;Simplified equation for calculating the refractivity of air,quot; Appl. Opt. 19, 4129-4130 (1980).
42. F. E. Jones, quot;The refractivity of air,quot; J. Res. Natl. Bur. Stand. 86, 27-32 (1981).
43. P. Giacomo, quot;Equation for the determination of the density of moist air (1981),quot; Metrologia 18, 33-40 (1982).
44. A. Dalgarno and A. E. Kingston, quot;Refractive indices and Verdet constants of the inert gases,quot; Proc. R. Soc. London Ser. A 259, 424-429 (1960).
45. A. Bideau-Mehu, Y. Guern, R. Abjean, and A. Johannin-Gilles, quot;Interferometric determination of the refractive index of carbon dioxide in the ultraviolet region,quot; Opt. Commun. 9, 432-434 (1973).
46. E. R. Peck, quot;Precise measurements of optical dispersion using a new interferometric technique: comment,quot; Appl. Opt. 25, 3597-3598 (1986).
47. P. Schellekens, G. Wilkening, F. Reinboth, M. J. Downs, K. P. Birch, and J. Spronck, quot;Measurements of the refractive index of air using interference refractometers,quot; Metrologia 22, 279-287 (1986).
48. S. P. Velsko and D. Eimerl, quot;Precise measurements of optical dispersion using a new interferometric technique,quot; Appl. Opt. 25, 1344-1349 (1986).
49. K. P. Birch and M. J. Downs, quot;The precise determination of the refractive index of air,quot; Rep. MOM90 (National Physical Laboratory, Teddington, U.K., 1988).
50. R. Muijlwijk, quot;Update of the Edlen formulae for the refractive index of air,quot; Metrologia 25, 189 (1988).
51. P. Schiebener, J. Straub, J. M. H. Levelt Sengers, and J. S. Gallagher, quot;Refractive index of water and steam as function of wavelength, temperature, and density,quot; J. Phys. Chem. Ref. Data 19, 677-715 (1990).
52. J. Beers and T. Doiron, quot;Verification of revised water vapour correction to the refractive index of air,quot; Metrologia 29, 315-316 (1992).
53. R. S. Davis, quot;Equation for the determination of the density of moist air (1981/91),quot; Metrologia 29, 67-70 (1992).
54. K. P. Birch and M. J. Downs, quot;An updated Edlén equation for the refractive index of air,quot; Metrologia 30, 155-162 (1993).
55. K. P. Birch and M. J. Downs, quot;Correction to the updated Edlén equation for the refractive index of air,quot; Metrologia 31, 315-316 (1994).
56. P. E. Ciddor, quot;Refractive index of air: new equations for the visible and near infrared,quot; Appl. Opt. 35, 1566-1573 (1996).
57. 2O, and refractivity virials,quot; Appl. Opt. 41, 2292-2298 (2002).
58. J. G. Old, K. L. Gentili, and E. R. Peck, quot;Dispersion of carbon dioxide,quot; J. Opt. Soc. Am. 61, 89-90 (1971).
59. -1,quot; Opt. Commun. 25, 211-214 (1978).
60. V. H. Volkmann, quot;Messungen des Depolarisationsgrades bei der molekularen Lichtzerstreuung,quot; Ann. Phys. (Leipzig) 24, 457-484 (1935).
61. F. Kasten, quot;Rayleigh-Cabannes Streuung in trockener Luft unter Berücksichtigung neuerer Depolarisations-Messungen,quot; Optik (Stuttgart) 27, 155-166 (1968).
62. A. S. Weber, P. S. Porto, L. E. Cheesman, and J. J. Barrett, quot;High-resolution Raman spectroscopy of gases with cw-laser excitation,quot; J. Opt. Soc. Am. 57, 19-28 (1967).
63. C. Tomasi, quot;Vertical distribution features of atmospheric water vapor in the Mediterranean, Red Sea, and Indian Ocean,quot; J. Geophys. Res. 89, 2563-2566 (1984).
64. C. E. Sioris, W. F. J. Evans, R. L. Gattinger, I. C. McDade, D. A. Degenstein, and E. J. Llewellyn, quot;Ground-based Ring-effect measurements with the OSIRIS development model,quot; Can. J. Phys. 80, 483-491 (2002).
65. W. F. Murphy, quot;The Rayleigh depolarization ratio and rotational Raman spectrum of water vapor and the polarizability components for the water molecule,quot; J. Chem. Phys. 67, 5877-5882 (1977).