Radiative transfer model: Matrix operator method

Applied Optics

Volumn 35, Issue 21, 1996, Pages 4229-4237

  Liu, Quanhua ^a,b  

^a GEOMAR HELMHOLTZ CENTRE FOR OCEAN RESEARCH KIEL   (Germany)

^b ALFRED WEGENER INSTITUTE FOR POLAR AND MARINE RESEARCH   (Germany)

Author keywords

Clouds; Radiative transfer model; Rain; Weighting function

Indexed keywords

EID: 0000577637     PISSN: 1559128X     EISSN: 21553165     Source Type: Journal    
DOI: 10.1364/AO.35.004229     Document Type: Article

References (23)

1. G. N. Plass, G. W. Kattawar, and F. E. Catchings, “Matrix operator theory of radiative transfer. 1. Rayleigh scattering,”Appl. Opt. 12, 314-329 (1973).
2. J. Fischer and H. Grassl, “Radiative transfer in an atmosphere-ocean system: an azimuthally dependent matrix operator approach,”Appl. Opt. 23, 1032-1039 (1984).
3. P. C. Waterman, “Matrix-exponential description of radiative transfer,”J. Opt. Soc. Am. 71, 410-422 (1981).
4. M. Kerschgens, E. Raschke, and U. Reuter, “The absorption of solar radiation in model atmospheres,” Contrib. Atmos. Phys. 49, 81-97 (1976).
5. J. Schmetz, “An atmospheric-correction scheme for operational application to METEOSAT infrared measurements,” ESAJ. 10, 145-159 (1986).
6. H. J. Liebe, “An updated model for millimeter wave propagation in moist air,”Radio Sci. 20, 1069-1089 (1985).
7. W. J. Wiscombe, “The Delta-m method: rapid yet accurate radiative flux calculations for strongly asymmetric phase function,”J. Atmos. Sci. 34, 1408-1422 (1977).
8. K. T. Kriebel, “Measured spectral bidirectional reflection properties of four vegetated surfaces,”Appl. Opt. 17, 253-259 (1978).
9. E. D. Bowker and R. E. Davis, “Spectral reflectances of natural targets for use in remote sensing studies,” NASA Ref. Publ. 1139, 1-184 (1985).
10. S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).
11. Q. Liu, C. Simmer, and E. Ruprecht, “A general analytical expression of the radiation source function for emitting and scattering media within the matrix operator method,” Con-trib. Atmos. Phys. 64, 73-82 (1991).
12. Q. Liu, “A radiative budget index at the top of the atmosphere derived from meteosat climate data set,” Report of Institut fiir Meereskunde, University of Kiel, Nr 216 (1991).
13. C. Froehlich and R. W. Brusa, “Solar radiation and its variation,” Sol. Phys. 74, 209-215 (1981).
14. M. Iqbal, An Introduction to Solar Radiation (Academic, New York, 1983).
15. H. C. Vande Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
16. L. Tsang, J. A. Kong, and R. T. Shin, Theory of Microwave Remote Sensing (Wiley-Interscience, New York, 1985).
17. C. Cox and W. Munk, “Measurement of the roughness of the sea surface from photography of the Sun’s glitter,”J. Opt. Soc. Am. 44, 828-850 (1954).
18. A. Stogryn, “The emissivity of sea foam at microwave frequencies,”J. Geophys. Res. 77, 1658-1666 (1972).
19. P. Koepke, “The reflectance factors of a rough ocean with foam—comment on ‘Remote sensing of the sea state using the 0.8-1.1 pm spectral band’ by L. Wald and J. M. Monget,” Int. J. Remote Sensing 6, 787-799 (1985).
20. M. M. Wisler and J. P. Hollinger, “Estimation of marine environmental parameters using microwave radiometric remote sensing systems,” NRL Memo. 3661 (Naval Research Laboratories, Washington, D.C., 1977).
21. S. Q. Kidder and T. H. Vonder Haar, Satellite Meteorology (Academic, New York, 1995).
22. J. E. Hansen, “Multiple scattering of polarized light in planetary atmospheres. Part II: sunlight reflected by terrestrial water clouds,”J. Atmos. Sci. 28, 1400-1426 (1971).
23. E. Raschke, T. H. Vonder Haar, W. R. Bandeen, and M. Pasternak, “The annual radiation balance of the earth-atmosphere system during 1969-1970 from Nimbus-3 measurements,”J. Atmos. Sci. 30, 341-364 (1973).