Bidirectional reflectance of flat, optically thick particulate layers: An efficient radiative transfer solution and applications to snow and soil surfaces

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 63, Issue 2-6, 1999, Pages 409-432

  Mishchenko, Michael I ^a   Dlugach, Janna M ^b   Yanovitskij, Edgard G ^b   Zakharova, Nadia T ^c  

^a NASA GODDARD INSTITUTE FOR SPACE STUDIES   (United States)

^b NATIONAL ACADEMY OF SCIENCES OF UKRAINE   (Ukraine)

^c SCIENCE SYSTEMS AND APPLICATIONS INC   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIDIRECTIONAL REFLECTANCE; OPTICAL PROPERTY; RADIATIVE TRANSFER; SNOW; SOIL;

EID: 0032694506     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4073(99)00028-X     Document Type: Article

References (104)

1. [1] Bowell E, Hapke B, Domingue D, Lumme K, Peltoniemi J, Harris AW. Application of photometric models to asteroids. In: Binzel RP, Gehrels T, Matthews MS, editors. Asteroids II. Tucson, AZ, USA: Arizona Univ. Press, 1989. p. 524-56; Buratti BJ, Hillier JK, Wang M. Icarus 1996;124:490-9; Goguen JD. Icarus 1999, submitted for publication; Helfenstein P, Currier N, Vlark BE et al. Icarus 1998;135:41-63; Verbiscer A, Helfenstein P. Reflectance spectroscopy of icy surfaces. In: Schmitt B et al, editors. Solar System Ices. Dordrecht: Kluwer, 1998. p. 157-97.
2. [1] Bowell E, Hapke B, Domingue D, Lumme K, Peltoniemi J, Harris AW. Application of photometric models to asteroids. In: Binzel RP, Gehrels T, Matthews MS, editors. Asteroids II. Tucson, AZ, USA: Arizona Univ. Press, 1989. p. 524-56; Buratti BJ, Hillier JK, Wang M. Icarus 1996;124:490-9; Goguen JD. Icarus 1999, submitted for publication; Helfenstein P, Currier N, Vlark BE et al. Icarus 1998;135:41-63; Verbiscer A, Helfenstein P. Reflectance spectroscopy of icy surfaces. In: Schmitt B et al, editors. Solar System Ices. Dordrecht: Kluwer, 1998. p. 157-97.
3. [1] Bowell E, Hapke B, Domingue D, Lumme K, Peltoniemi J, Harris AW. Application of photometric models to asteroids. In: Binzel RP, Gehrels T, Matthews MS, editors. Asteroids II. Tucson, AZ, USA: Arizona Univ. Press, 1989. p. 524-56; Buratti BJ, Hillier JK, Wang M. Icarus 1996;124:490-9; Goguen JD. Icarus 1999, submitted for publication; Helfenstein P, Currier N, Vlark BE et al. Icarus 1998;135:41-63; Verbiscer A, Helfenstein P. Reflectance spectroscopy of icy surfaces. In: Schmitt B et al, editors. Solar System Ices. Dordrecht: Kluwer, 1998. p. 157-97.
4. [1] Bowell E, Hapke B, Domingue D, Lumme K, Peltoniemi J, Harris AW. Application of photometric models to asteroids. In: Binzel RP, Gehrels T, Matthews MS, editors. Asteroids II. Tucson, AZ, USA: Arizona Univ. Press, 1989. p. 524-56; Buratti BJ, Hillier JK, Wang M. Icarus 1996;124:490-9; Goguen JD. Icarus 1999, submitted for publication; Helfenstein P, Currier N, Vlark BE et al. Icarus 1998;135:41-63; Verbiscer A, Helfenstein P. Reflectance spectroscopy of icy surfaces. In: Schmitt B et al, editors. Solar System Ices. Dordrecht: Kluwer, 1998. p. 157-97.
5. [1] Bowell E, Hapke B, Domingue D, Lumme K, Peltoniemi J, Harris AW. Application of photometric models to asteroids. In: Binzel RP, Gehrels T, Matthews MS, editors. Asteroids II. Tucson, AZ, USA: Arizona Univ. Press, 1989. p. 524-56; Buratti BJ, Hillier JK, Wang M. Icarus 1996;124:490-9; Goguen JD. Icarus 1999, submitted for publication; Helfenstein P, Currier N, Vlark BE et al. Icarus 1998;135:41-63; Verbiscer A, Helfenstein P. Reflectance spectroscopy of icy surfaces. In: Schmitt B et al, editors. Solar System Ices. Dordrecht: Kluwer, 1998. p. 157-97.
6. [2] Brandt RE, Grenfell TC, Warren SG. Antarctic J US 1991;26:272-5.
7. [3] Bréon F-M, Tanré D, Lecomte P, Herman M. IEEE Trans Geosci Remote Sens 1995;33:487-99.
8. [4] Deering DW, Eck TF, Otterman J. Agric Forest Meteorol 1990;52:71-93.
9. [5] de Haan JF. Effects of aerosols on the brightness and polarization of cloudless planetary atmospheres. Ph.D. thesis, Free University, Amsterdam, 1987.
10. [6] den Outer P. Multiple light scattering in random discrete media: Coherent backscattering and imaging. Ph.D. thesis, University of Amsterdam, 1995.
11. [7] Douté S, Schmitt B. J Geophys Res 1998;103:31367-89.
12. [8] Dozier J. Remote sensing of snow in the visible and near-infrared wavelengths. In: Asrar G, editor. Theory and applications of optical remote sensing. New York: Wiley, 1989. p. 527-47.
13. [9] Fily M, Bourdells B, Dedieu JP, Sergent C. Remote Sens Environ 1997;59:452-60; Fily M, Leroux C, Lenoble J, Sergent C. Terrestrial snow studies from remote sensing in the solar spectrum and the thermal infrared. In: Schmitt B et al. editors. Solar system ices. Dordrecht: Kluwer, 1998. p. 421-41.
14. [9] Fily M, Bourdells B, Dedieu JP, Sergent C. Remote Sens Environ 1997;59:452-60; Fily M, Leroux C, Lenoble J, Sergent C. Terrestrial snow studies from remote sensing in the solar spectrum and the thermal infrared. In: Schmitt B et al. editors. Solar system ices. Dordrecht: Kluwer, 1998. p. 421-41.
15. [10] Jin Z, Simpson JJ. IEEE Trans Geosci Remote Sens 1999;37:543-54.
16. [11] Gibbs DP, Betty CL, Fung AK, Blanchard AJ, Irons JR, Balsam WL. Remote Sens Environ 1993;43:97-114.
17. [12] Grenfell TC, Warren SG, Mullen PC. J Geophys Res 1994;99:18669-84.
18. [13] Hapke B. Theory of reflectance and emittance spectroscopy. New York: Cambridge Univ. Press, 1993.
19. [14] Hendricks TJ, Howell JR. ASME J Heat Transfer 1996;118:79-87.
20. [15] Irons JR, Weismiller RA, Petersen GW. Soil reflectance. In: Asrar G, editor. Theory and applications of optical remote sensing. New York: Wiley, p. 66-106.
21. [16] Irons JR, Campbell GS, Norman JM, Graham DW, Kovalick WM. IEEE Trans Geosci Remote Sens 1992;30:249-60.
22. [17] Jafolla JC, Stokes JA, Sullivan RJ. Proc SPIE 1997;3141:1-12.
23. [18] Kuhn M. Ann Glaciol 1985;6:164-7.
24. [19] Leroux C, Fily M. J Geophys Res 1998;103:25779-88.
25. [20] Leroux C, Deuzé J-L, Goloub P, Sergent C, Fily M. J Geophys Res 1998;103:19721-31.
26. [21] Leroux C, Lenoble J, Brogniez G, Hovenier JW, de Haan JF. JQSRT 1999;61:273-85.
27. [22] Li S. A model for the anisotropic reflectance of pure snow. Ph.D. thesis, University of California at Santa Barbara, USA, 1982.
28. [23] Liang S, Mishchenko MI. Remote Sens Environ 1997;60:163-73.
29. [24] Lumme K, Peltoniemi JI, Irvine WM. Transp Theory Statist Phys 1990;19:317-32.
30. [25] Martonchik JV, Diner DJ, Pinty B, Verstraete MM, Myneni RB, Knyazikhin Yu, Gordon HR. IEEE Trans Geosci Remote Sens 1998;36:1266-81.
31. [26] Mishchenko MI. Astrophys Space Sci 1992;194:327-33.
32. [27] Mishchenko MI. Astrophys J 1993;411:351-61.
33. [28] Mishchenko MI. JQSRT 1994;52:95-110.
34. [29] Mishchenko MI, Dlugach JM. Mon Not Roy Astron Soc 1992;254:15-18.
35. [30] Mishchenko MI, Dlugach JM. Planet Space Sci 1993;41:173-81.
36. [31] Mishchenko MI, Macke A. JQSRT 1997;57:767-94.
37. [32] Muinonen K. Coherent backscattering by solar system dust particles. In: Milani A et al., editors. Asteroids, comets, meteors. Dordrecht: Kluwer, 1993. p. 271-96.
38. [33] Nelson HF, Look DC, Crosbie AL. ASME J Heat Transfer 1986;108:619-25.
39. [34] Nolin AW, Dozier J. Remote Sens Environ 1993;44:231-8.
40. [35] Peltoniemi JI, Lumme K. J Opt Soc Am A 1992;9:1320-6.
41. [36] Pinty B, Verstraete MM. Remote Sens Environ 1992;41:155-67.
42. [37] Pitter MC, Jakeman E, Harris M. J Mod Opt 1998;45:1557-65.
43. [38] POAN Research Group, editor. New aspects of electromagnetic and acoustic wave diffusion. Berlin: Springer, 1998.
44. [39] Steffen K. Effect of solar zenith angle on snow anisotropic reflectance. In: Smith WL, Stamnes K, editors. IRS'96: current problems in atmospheric radiation. VA, USA: Deepak Publ., Hampton, 1997. p. 41-4.
45. [40] Taylor VR, Stowe L. J Geophys Res 1984;89:4987-96.
46. [41] Tien CL. ASME J Heat Transfer 1988;110:1230-42.
47. [42] van Der Mark MB. Propagation of light in disordered media: a search for Anderson Localization. Ph.D. thesis, University of Amsterdam, 1990.
48. [43] van Tiggelen BA. Multiple scattering and localization of light. Ph.D. thesis, University of Amsterdam, 1992.
49. [44] Tsay S-C, King MD, Arnold GT, Li JY. J Geophys Res 1998;103:31,943-53; Soulen PF, Tsay S-C, King MD, Arnold GT, Jason YL. J Geophys Res 1999, in press.
50. [44] Tsay S-C, King MD, Arnold GT, Li JY. J Geophys Res 1998;103:31,943-53; Soulen PF, Tsay S-C, King MD, Arnold GT, Jason YL. J Geophys Res 1999, in press.
51. [45] Warren SG. Rev Geophys 1982;20:67-89.
52. [46] Warren SG, Brandt RE, Hinton PO'R. J Geophys Res 1998;103:25789-807.
53. [47] Hansen JE, Travis LD. Space Sci Rev 1974;16:527-610.
54. [48] de Haan JF, Bosma PB, Hovenier JW. Astron Astrophys 1987;183:371-91.
55. [49] Stamnes K. Rev Geophys 1986;24:299-310.
56. [50] Sobolev VV. Light scattering in planetary atmospheres. Oxford: Pergamon Press, 1975 [chapter 2].
57. [51] Dlugach JM, Yanovitskij EG. Icarus 1974;22:66-81; Yanovitskij EG. Light scattering in inhomogeneous atmospheres. Berlin: Springer, 1997 [chapters 2 and 3].
58. [51] Dlugach JM, Yanovitskij EG. Icarus 1974;22:66-81; Yanovitskij EG. Light scattering in inhomogeneous atmospheres. Berlin: Springer, 1997 [chapters 2 and 3].
59. [52] de Rooij WA. Reflection and transmission of polarized light by planetary atmospheres. Ph.D. thesis, Free University, Amsterdam, 1985.
60. [53] Mishchenko MI, Lacis AA, Travis LD. JQSRT 1994;51:491-510.
61. [54] Lacis AA, Chowdhary J, Mishchenko MI, Cairns B. Geophys Res Lett 1998;25:135-8.
62. [55] Hansen JE. J Atmos Sci 1971;28:1400-28.
63. [56] van de Hulst HC. Multiple light scattering. New York: Academic Press, 1980.
64. [57] Gelfand IM, Minlos RA, Shapiro ZYa. Representations of the rotation and Lorentz groups and their applications. Oxford: Pergamon Press, 1963.
65. [58] Hovenier JW, van der Mee CVM. Astron Astrophys 1983;128:1-16.
66. [59] de Rooij WA, Domke H. JQSRT 1984;31:285-99.
67. [60] Irvine WM. Astrophys J 1965;142:1563-75.
68. [61] King MD. JQSRT 1983;30:143-61.
69. [62] de Rooij WA, van der Stap CCAH. Astron Astrophys 1984;131:237-48.
70. [63] Lacis AA, Mishchenko MI. Climate forcing, climate sensitivity, and climate response: a radiative modeling perspective on atmospheric aerosols. In: Charlson RJ, Heintzenberg J, editors. Aerosol Forcing of Climate. New York: Wiley, 1995. p. 11-42.
71. [64] Mishchenko MI, Travis LD. JQSRT 1998;60:309-24.
72. [65] Mishchenko MI, Travis LD, Mackowski DW. JQSRT 1996;55:535-75.
73. [66] Mishchenko MI. J Opt Soc Am A 1991;8:871-82.
74. [67] Muinonen K, Lumme K, Peltoniemi J, Irvine WM. Appl Opt 1989;28:3051-60.
75. [68] Takano Y, Liou KN. J Atmos Sci 1989;46:3-19.
76. [69] Mishchenko MI, Macke A. J Geophys Res 1998;103:1799-805.
77. [70] Dave JV, Armstrong BH. JQSRT 1970;10:557-62.
78. [71] Krylov VI. Approximate calculation of integrals. New York: Macmillan, 1962.
79. [72] Adams CN, Kattawar GW. JQSRT 1970;10:341-56.
80. [73] Lenoble J, editor. Radiative transfer in scattering and absorbing atmospheres: standard computational procedures. Hampton, VA, USA: Deepak, 1985.
81. [74] Nakajima T, King MD. Appl Opt 1992;31:7669-83.
82. [75] Hansen JE, Pollack JB. J Atmos Sci 1970;27:265-81.
83. [76] Ishida T, Ando H, Fukuhara M. Remote Sens Environ 1991;38:173-82.
84. [77] Jaggard DL, Hill C, Shorthill RW et al. Atmos Environ 1991;15:2511-9.
85. [78] Mishchenko MI, Travis LD, Kahn RA, West RA. J Geophys Res 1997;102:16831-47.
86. [79] West RA, Doose LR, Eibl AM et al. J Geophys Res 1997;102:16871-81.
87. [80] Muñoz O, Volten H, Rol E et al. Experimental determination of scattering matrices of mineral particles. In: Mishchenko MI, Travis LD, Hovenier JW, editors. Light scattering by nonspherical particles: theory, measurements, and applications. Boston, MA, USA: American Meteorological Society, 1998. p. 265-8.
88. [81] Hovenier JW, Hage JI. Astron Astrophys 1989;214:391-401.
89. [82] Joseph JH, Wiscombe WJ, Weinman JA. J Atmos Sci 1976;33:2452-9.
90. [83] Macke A, Mueller J, Raschke E. J Atmos Sci 1996;53:2813-25.
91. [84] Mishchenko MI, Rossow WB, Macke A, Lacis AA. J Geophys Res 1996;101:16973-85.
92. [85] Kokhanovsky A. Optics of light scattering media: problems and solutions. Chichester: Wiley-Praxis, 1999.
93. [86] Bohren CF, Beschta RL. Cold Reg Sci Technol 1979;1:47-50.
94. [87] Wiscombe WJ, Warren SG. J Atmos Sci 1980;37:2712-33.
95. [88] Fraden S, Maret G. Phys Rev Lett 1990;65:512-5.
96. [89] Kumar S, Tien CL. ASME J Heat Transfer 1990;112:178-85.
97. [90] Göbel G, Kuhn J, Fricke J. Waves Random Media 1995;5:413-26.
98. [91] Shinde R. Balgi G, Richter S, Banerjee S, Reynolds J, Pierce J, Sevick-Muraca E. Appl Opt 1999;38:197-204.
99. [92] Barabanenkov YuN, Kravtsov YuA, Ozrin VD, Saichev AI. Enhanced backscattering in optics. In: Wolf E, editor. Progress in Optics. Vol. XXIX. Amsterdam: Elsevier, 1991. p. 65-197.
100. [93] Mishchenko MI. JQSRT 1996;56:673-702.
101. [94] Fung AK, Eom HJ. IEEE Trans Geosci Remote Sens 1985;23:761-7.
102. [95] Chuah H-T, Tjuatja S, Fung AK, Bredow JW. IEEE Trans Geosci Remote Sens 1996;34:1137-43.
103. [96] Shepard MK, Campbell BA. Icarus 1998;134:279-91.
104. [97] Hillier JK. Icarus 1997;130:328-35.